Mathematical Biosciences Short Title: Math. Biosci. Publisher: Elsevier, New York, NY ISSN: 0025-5564 Online: http://www.sciencedirect.com/science/journal/00255564 Comments: Journal; Indexed cover-to-cover Documents Indexed: 4,600 Publications (since 1967) References Indexed: 4,515 Publications with 136,656 References. all top 5 Latest Issues 379 (2025) 378 (2024) 377 (2024) 376 (2024) 375 (2024) 374 (2024) 373 (2024) 372 (2024) 371 (2024) 370 (2024) 369 (2024) 368 (2024) 367 (2024) 366 (2023) 365 (2023) 364 (2023) 363 (2023) 362 (2023) 361 (2023) 360 (2023) 359 (2023) 358 (2023) 357 (2023) 356 (2023) 355 (2023) 354 (2022) 353 (2022) 352 (2022) 351 (2022) 350 (2022) 349 (2022) 348 (2022) 347 (2022) 346 (2022) 345 (2022) 344 (2022) 343 (2022) 342 (2021) 341 (2021) 340 (2021) 339 (2021) 338 (2021) 337 (2021) 336 (2021) 335 (2021) 334 (2021) 333 (2021) 332 (2021) 331 (2021) 330 (2020) 329 (2020) 328 (2020) 327 (2020) 326 (2020) 325 (2020) 324 (2020) 323 (2020) 322 (2020) 321 (2020) 320 (2020) 319 (2020) 318 (2019) 317 (2019) 316 (2019) 315 (2019) 314 (2019) 313 (2019) 312 (2019) 311 (2019) 310 (2019) 309 (2019) 308 (2019) 307 (2019) 306 (2018) 305 (2018) 304 (2018) 303 (2018) 302 (2018) 301 (2018) 300 (2018) 299 (2018) 298 (2018) 297 (2018) 296 (2018) 295 (2018) 294 (2017) 293 (2017) 292 (2017) 291 (2017) 290 (2017) 289 (2017) 288 (2017) 287 (2017) 286 (2017) 285 (2017) 284 (2017) 283 (2017) 282 (2016) 281 (2016) 280 (2016) ...and 421 more Volumes all top 5 Authors 39 Mode, Charles J. 28 Voit, Eberhard Otto 20 Feng, Zhilan 20 van den Driessche, Pauline 19 Jacquez, John A. 19 Yakovlev, Andrej Yu. 18 Ball, Frank G. 18 Becker, Niels G. 18 Bellman, Richard Ernest 18 Castillo-Chavez, Carlos 18 Distefano, Joseph J. III 18 Freedman, Herbert Irving 16 Chappell, Michael J. 16 Perelson, Alan S. 16 Pollak, Edward 15 Cobelli, Claudio 15 Colli Franzone, Piero 15 Hethcote, Herbert W. 15 Kimmel, Marek 15 King, John Robert 14 Allen, Linda J. S. 14 Dietz, Klaus 14 Pickard, William F. 14 Ruan, Shigui 13 Godfrey, Keith R. 13 Gumel, Abba B. 13 Kuang, Yang 13 Layton, Anita T. 13 Takeuchi, Yasuhiro 13 Vasudevan, Ramabhadra 13 Zheng, Qi 12 Chase, J. Geoffrey 12 Eisenfeld, Jerome 12 Hanin, Leonid G. 12 Kooi, Bob W. 12 Maini, Philip Kumar 11 Britton, Tom 11 Fan, Meng 11 Kuznetsov, Andrey V. 11 Martcheva, Maia 11 Müller, Johannes 11 Savageau, Michael A. 11 Steel, Michael Anthony 11 Waltman, Paul Elvis 11 Wang, Hao 11 Wu, Jianhong 10 DeAngelis, Donald L. 10 Greenhalgh, David 10 Hadeler, Karl-Peter 10 Johnston, Peter Rex 10 May, Robert McCredie 10 Moolgavkar, Suresh H. 10 Sorribas, Albert 10 Tan, Wai-Yuan 10 Tveito, Aslak 10 Ueno, Sueo 10 Yakubu, Abdul-Aziz 10 Zhu, Huaiping 9 Auger, Pierre M. 9 Demetrius, Lloyd A. 9 Engen, Steinar 9 Evans, Neil D. 9 Gyllenberg, Mats 9 Kopp-Schneider, Annette 9 Lenhart, Suzanne M. 9 Levin, Simon Asher 9 MacDonald, Norman 9 Milner, Fabio Augusto 9 Shiraishi, Fumihide 8 Brandeau, Margaret L. 8 Byrne, Helen Mary 8 Chattopadhyay, Joydev 8 Chiang, Chin Long 8 Cosner, Chris 8 Diekmann, Odo 8 Gandolfi, Alberto 8 Gopalsamy, Kondalsamy 8 Hearon, John Z. 8 Lange, Kenneth L. 8 Lefkovitch, L. P. 8 Li, Jia 8 Luebeck, E. Georg 8 Olufsen, Mette Sofie 8 Pakes, Anthony G. 8 Pavarino, Luca Franco 8 Pavlou, Stavros 8 Roberts, Michael George 8 Rosen, Gerald 8 Ross, Joshua V. 8 Schnell, Santiago 8 Taccardi, Bruno 8 Velasco-Hernandez, Jorge X. 8 Webb, Glenn Francis 8 Xiao, Yanni 7 Androulakis, Ioannis P. 7 Bell, Jonathan 7 Brauer, Fred 7 Chauvet, Gilbert A. 7 Clancy, Damian 7 Delforge, Jacques ...and 6,856 more Authors all top 5 Fields 4,319 Biology and other natural sciences (92-XX) 594 Probability theory and stochastic processes (60-XX) 589 Ordinary differential equations (34-XX) 404 Statistics (62-XX) 387 Systems theory; control (93-XX) 352 Numerical analysis (65-XX) 316 Partial differential equations (35-XX) 281 Dynamical systems and ergodic theory (37-XX) 206 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 110 Calculus of variations and optimal control; optimization (49-XX) 88 Computer science (68-XX) 83 Fluid mechanics (76-XX) 78 Combinatorics (05-XX) 72 Integral equations (45-XX) 70 Operations research, mathematical programming (90-XX) 57 Difference and functional equations (39-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 41 Optics, electromagnetic theory (78-XX) 36 Classical thermodynamics, heat transfer (80-XX) 36 Information and communication theory, circuits (94-XX) 30 Mechanics of deformable solids (74-XX) 19 General and overarching topics; collections (00-XX) 15 Operator theory (47-XX) 13 History and biography (01-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Approximations and expansions (41-XX) 7 Mathematical logic and foundations (03-XX) 7 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 5 Mechanics of particles and systems (70-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Number theory (11-XX) 4 Nonassociative rings and algebras (17-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,508 Publications have been cited 49,300 times in 26,778 Documents Cited by ▼ Year ▼ Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Zbl 1015.92036 van den Driessche, P.; Watmough, James 3,423 2002 Evolutionarily stable strategies and game dynamics. Zbl 0395.90118 Taylor, Peter D.; Jonker, Leo B. 655 1978 A generalization of the Kermack-McKendrick deterministic epidemic model. Zbl 0398.92026 Capasso, Vincenzo; Serio, Gabriella 613 1978 Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016 Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob 404 1993 A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009 Culshaw, Rebecca V.; Ruan, Shigui 353 2000 A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016 Lajmanovich, Ana; Yorke, James A. 331 1976 A time-delay model of single-species growth with stage structure. Zbl 0719.92017 Aiello, Walter G.; Freedman, H. I. 331 1990 Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042 Xiao, Dongmei; Ruan, Shigui 278 2007 Qualitative analyses of communicable disease models. Zbl 0326.92017 Hethcote, Herbert W. 275 1976 Global dynamics of a SEIR model with varying total population size. Zbl 0974.92029 Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János 272 1999 Persistence in models of three interacting predator-prey populations. Zbl 0534.92026 Freedman, H. I.; Waltman, Paul 265 1984 Modeling and analysis of a predator-prey model with disease in the prey. Zbl 0978.92031 Xiao, Yanni; Chen, Lansun 262 2001 On the diffusion of biological populations. Zbl 0362.92007 Gurtin, Morton E.; MacCamy, Richard C. 252 1977 Global stability for the SEIR model in epidemiology. Zbl 0821.92022 Li, Michael Y.; Muldowney, James S. 247 1995 Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035 Nelson, Patrick W.; Perelson, Alan S. 225 2002 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017 Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 208 2000 Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011 Byrne, H. M.; Chaplain, M. A. J. 202 1995 Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016 Kuang, Yang; Freedman, H. I. 192 1988 An epidemic model in a patchy environment. Zbl 1048.92030 Wang, Wendi; Zhao, Xiao-Qiang 191 2004 A simple vaccination model with multiple endemic states. Zbl 0954.92023 Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X. 190 2000 Analysis of a dengue disease transmission model. Zbl 0930.92020 Esteva, Lourdes; Vargas, Cristobal 187 1998 Backward bifurcation of an epidemic model with treatment. Zbl 1093.92054 Wang, Wendi 183 2006 Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043 Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A. 181 2005 Permanence and the dynamics of biological systems. Zbl 0783.92002 Hutson, Vivian; Schmitt, Klaus 180 1992 Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1086.92035 Wang, Liancheng; Li, Michael Y. 174 2006 Stability properties of pulse vaccination strategy in SEIR epidemic model. Zbl 0991.92025 d’Onofrio, Alberto 167 2002 Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036 Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu 163 2008 Nonlinear aspects of chemotaxis. Zbl 0481.92010 Childress, S.; Percus, J. K. 163 1981 Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061 Thieme, Horst R. 162 2000 Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014 Lui, Roger 162 1989 Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049 Song, Xinyu; Chen, Lansun 160 2001 Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010 Byrne, H. M.; Chaplain, M. A. J. 149 1996 Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030 Hethcote, Herbert; Zhien, Ma; Shengbing, Liao 145 2002 The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030 Hyman, James M.; Li, Jia; Stanley, E. Ann 145 1999 Global stability and persistence of simple food chains. Zbl 0572.92025 Freedman, H. I.; So, J. W.-H. 144 1985 Spreading disease: Integro-differential equations old and new. Zbl 1036.92030 Medlock, Jan; Kot, Mark 131 2003 Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022 Allen, Linda J. S. 129 1994 Modeling and analyzing HIV transmission: The effect of contact patterns. Zbl 0686.92016 Jacquez, John A.; Simon, Carl P.; Koopman, James; Sattenspiel, Lisa; Perry, Timothy 129 1988 Speeds of invasion in a model with strong or weak Allee effects. Zbl 0978.92033 Wang, Mei-Hui; Kot, Mark 129 2001 Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Zbl 0946.92011 Mittler, John E.; Sulzer, Bernhard; Neumann, Avidan U.; Perelson, Alan S. 128 1998 Stochastic epidemic models: a survey. Zbl 1188.92031 Britton, Tom 127 2010 Discrete-time growth-dispersal models. Zbl 0595.92011 Kot, Mark; Schaffer, William M. 125 1986 Mathematical analysis of some three-species food-chain models. Zbl 0363.92022 Freedman, H. I.; Waltman, Paul 123 1977 Comparison of phylogenetic trees. Zbl 0451.92006 Robinson, D. F.; Foulds, L. R. 121 1981 The dynamics of an infectious disease in a population with birth pulses. Zbl 0928.92027 Roberts, M. G.; Kao, R. R. 120 1998 Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024 Allen, Linda J. S.; Burgin, Amy M. 120 2000 Backward bifurcation in epidemic control. Zbl 0904.92031 Hadeler, K. P.; van den Driessche, P. 116 1997 Predator-prey dynamics in models of prey dispersal in two-patch environments. Zbl 0793.92014 Kuang, Yang; Takeuchi, Yasuhiro 116 1994 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011 Cooke, Kenneth L.; Yorke, James A. 114 1973 Influence of stochastic perturbation on prey-predator systems. Zbl 1124.92055 Rudnicki, Ryszard; Pichór, Katarzyna 114 2007 The stage-structured predator-prey model and optimal harvesting policy. Zbl 0961.92037 Zhang, Xinan; Chen, Lansun; Neumann, Avidan U. 113 2000 Global stability of an SIR epidemic model with information dependent vaccination. Zbl 1152.92019 Buonomo, Bruno; d’Onofrio, Alberto; Lacitignola, Deborah 113 2008 Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160 Yang, Yu; Zou, Lan; Ruan, Shigui 109 2015 On global stability of a predator-prey system. Zbl 0383.92014 Hsu, S. B. 109 1978 A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data. Zbl 1241.92042 Pawelek, Kasia A.; Liu, Shengqiang; Pahlevani, Faranak; Rong, Libin 109 2012 Global stability for cholera epidemic models. Zbl 1217.92068 Tian, Jianjun Paul; Wang, Jin 107 2011 Propagation of HBV with spatial dependence. Zbl 1129.92052 Wang, Kaifa; Wang, Wendi 107 2007 Effect of media-induced social distancing on disease transmission in a two patch setting. Zbl 1211.92051 Sun, Chengjun; Yang, Wei; Arino, Julien; Khan, Kamran 104 2011 Analysis of logistic growth models. Zbl 0993.92028 Tsoularis, A.; Wallace, J. 104 2002 Periodicity in an epidemic model with a generalized non-linear incidence. Zbl 1073.92040 Alexander, M. E.; Moghadas, S. M. 102 2004 Models for transmission of disease with immigration of infectives. Zbl 0995.92041 Brauer, Fred; van den Driessche, P. 102 2001 System identifiability based on the power series expansion of the solution. Zbl 0393.92008 Pohjanpalo, H. 100 1978 Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006 Hethcote, Herbert W.; van Ark, James W. 98 1987 A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033 Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 97 2003 Heroin epidemics, treatment and ODE modelling. Zbl 1116.92062 White, Emma; Comiskey, Catherine 96 2007 A core group model for disease transmission. Zbl 0832.92021 Hadeler, K. P.; Castillo-Chavez, C. 94 1995 Role of optimal control theory in cancer chemotherapy. Zbl 0702.92007 Swan, George W. 94 1990 Remarks on food chain dynamics. Zbl 0844.92025 Kuznetsov, Yu. A.; Rinaldi, S. 93 1996 Oscillatory viral dynamics in a delayed HIV pathogenesis model. Zbl 1168.92031 Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane 93 2009 Heterogeneity in disease-transmission modeling. Zbl 0454.92020 Nold, Annett 92 1980 A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012 Cooke, Kenneth L.; Kaplan, James L. 90 1976 Movement toward better environments and the evolution of rapid diffusion. Zbl 1105.92036 Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan 90 2006 Optimal harvesting policy for single population with periodic coefficients. Zbl 0940.92030 Fan, Meng; Wang, Ke 89 1998 Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect. Zbl 1126.92062 van Voorn, George A. K.; Hemerik, Lia; Boer, Martin P.; Kooi, Bob W. 89 2007 Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Zbl 1086.92022 Ciupe, M. S.; Bivort, B. L.; Bortz, D. M.; Nelson, P. W. 87 2006 The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023 Byrne, H. M. 86 1997 Persistence in a model of three competitive populations. Zbl 0584.92018 Freedman, H. I.; Waltman, Paul 86 1985 A simplified mathematical model of tumor growth. Zbl 0601.92007 Adam, John A. 86 1986 Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024 Hethcote, Herbert W.; Thieme, Horst R. 85 1985 Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025 Gurtin, Morton E.; MacCamy, Richard C. 84 1979 A mathematical model for the global spread of influenza. Zbl 0567.92017 Rvachev, Leonid A.; Longini, Ira M. jun. 83 1985 Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments. Zbl 0964.34059 Fan, Meng; Wang, Ke; Jiang, Daqing 83 1999 Avian-human influenza epidemic model. Zbl 1114.92058 Iwami, Shingo; Takeuchi, Yasuhiro; Liu, Xianning 83 2007 Chemotherapy for tumors: An analysis of the dynamics and a study of quadratic and linear optimal controls. Zbl 1122.49020 de Pillis, L. G.; Gu, W.; Fister, K. R.; Head, T.; Maples, K.; Murugan, A.; Neal, T.; Yoshida, K. 83 2007 Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel coronavirus. Zbl 1448.92135 Ngonghala, Calistus N.; Iboi, Enahoro; Eikenberry, Steffen; Scotch, Matthew; MacIntyre, Chandini Raina; Bonds, Matthew H.; Gumel, 1448 B. 82 2020 On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Zbl 0987.92027 Carletti, M. 82 2002 Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023 Freedman, H. I. 80 1976 A structured epidemic model incorporating geographic mobility among regions. Zbl 0833.92020 Sattenspiel, Lisa; Dietz, Klaus 80 1995 The impact of information transmission on epidemic outbreaks. Zbl 1188.92033 Kiss, Istvan Z.; Cassell, Jackie; Recker, Mario; Simon, Péter L. 80 2010 Global dynamics of cholera models with differential infectivity. Zbl 1244.92040 Shuai, Zhisheng; van den Driessche, P. 80 2011 Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Zbl 1134.92026 Sharomi, O.; Podder, C. N.; Gumel, A. B.; Elbasha, E. H.; Watmough, James 80 2007 An SIS patch model with variable transmission coefficients. Zbl 1218.92064 Gao, Daozhou; Ruan, Shigui 79 2011 On the critical behavior of the general epidemic process and dynamical percolation. Zbl 0531.92027 Grassberger, P. 79 1983 Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025 Hyman, James M.; Stanley, E. Ann 79 1988 Some threshold results for models of myelinated nerves. Zbl 0454.92009 Bell, Jonathan 79 1981 Models for integrated pest control and their biological implications. Zbl 1156.92046 Tang, Sanyi; Cheke, Robert A. 78 2008 Vaccination models and optimal control strategies to dengue. Zbl 1282.92022 Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M. 77 2014 Optimal harvesting of prey-predator system with interval biological parameters: a bioeconomic model. Zbl 1402.92362 Pal, D.; Mahaptra, G. S.; Samanta, G. P. 77 2013 Persistence and extinction of a population in a polluted environment. Zbl 0714.92027 Ma, Zhien; Cui, Guirong; Wang, Wendi 77 1990 A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322 Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D. 77 2007 Mycoloop: modeling phytoplankton-chytrid-zooplankton interactions in aquatic food webs. Zbl 1539.92178 Chen, Ming; Gao, Honghui; Zhang, Jimin 2 2024 Dynamic behaviors of a stochastic virus infection model with Beddington-DeAngelis incidence function, eclipse-stage and Ornstein-Uhlenbeck process. Zbl 1539.92158 Liu, Yuncong; Wang, Yan; Jiang, Daqing 2 2024 Quantifying collective motion patterns in mesenchymal cell populations using topological data analysis and agent-based modeling. Zbl 1539.92024 Nguyen, Kyle C.; Jameson, Carter D.; Baldwin, Scott A.; Nardini, John T.; Smith, Ralph C.; Haugh, Jason M.; Flores, Kevin B. 2 2024 Overcoming the impossibility of age-balanced harvest. Zbl 1534.91089 Filar, Jerzy A.; Holden, Matthew H.; Mendiolar, Manuela; Streipert, Sabrina H. 1 2024 A yeast cell cycle pulse generator model shows consistency with multiple oscillatory and checkpoint mutant datasets. Zbl 1542.92051 Fox, Julian; Cummins, Breschine; Moseley, Robert C.; Gameiro, Marcio; Haase, Steven B. 1 2024 A mathematical model for the within-host (re)infection dynamics of SARS-CoV-2. Zbl 1545.92027 Schuh, Lea; Markov, Peter V.; Veliov, Vladimir M.; Stilianakis, Nikolaos I. 1 2024 Mathematical generation of data-driven hippocampal CA1 pyramidal neurons and interneurons copies via A-GLIF models for large-scale networks covering the experimental variability range. Zbl 1545.92008 Marasco, A.; Tribuzi, C.; Iuorio, A.; Migliore, M. 1 2024 Dynamical analysis of a diffusive population-toxicant model with toxicant-taxis in polluted aquatic environments. Zbl 1543.35253 Xing, Jie; Huang, Qihua; Nie, Hua 1 2024 Controlling smoking: a smoking epidemic model with different smoking degrees in deterministic and stochastic environments. Zbl 1537.92149 Zhang, Shengqiang; Meng, Yanling; Chakraborty, Amit Kumar; Wang, Hao 1 2024 A stochastic framework for evaluating CAR T cell therapy efficacy and variability. Zbl 1539.92065 Hoang, Chau; Phan, Tuan Anh; Turtle, Cameron J.; Tian, Jianjun Paul 1 2024 The impact of radio-chemotherapy on tumour cells interaction with optimal control and sensitivity analysis. Zbl 1539.92066 Kumar, Arjun; Dubey, Uma S.; Dubey, Balram 1 2024 Phenotypic switching mechanisms determine the structure of cell migration into extracellular matrix under the ‘go-or-grow’ hypothesis. Zbl 1546.92026 Crossley, Rebecca M.; Painter, Kevin J.; Lorenzi, Tommaso; Maini, Philip K.; Baker, Ruth E. 1 2024 A birth-death model to understand bacterial antimicrobial heteroresistance from time-kill curves. Zbl 07938604 Martínez-López, Nerea; Vilas, Carlos; García, Míriam R. 1 2024 Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion. Zbl 1530.92295 Feng, Tao; Milne, Russell; Wang, Hao 7 2023 Great fish war with moratorium. Zbl 1506.91122 Dahmouni, Ilyass; Parilina, Elena M.; Zaccour, Georges 5 2023 Stochastic modeling of SIS epidemics with logarithmic Ornstein-Uhlenbeck process and generalized nonlinear incidence. Zbl 1542.92176 Shi, Zhenfeng; Jiang, Daqing 4 2023 Towards a new combination therapy with vectored immunoprophylaxis for HIV: modeling “shock and kill” strategy. Zbl 07647180 Deng, Qi; Guo, Ting; Qiu, Zhipeng; Chen, Yuming 3 2023 Patterning of nonlocal transport models in biology: the impact of spatial dimension. Zbl 1534.92013 Jewell, Thomas Jun; Krause, Andrew L.; Maini, Philip K.; Gaffney, Eamonn A. 3 2023 A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages. Zbl 1519.92039 Chambers, Keith L.; Myerscough, Mary R.; Byrne, Helen M. 3 2023 A model of a fishery with fish storage and variable price involving delay equations. Zbl 1520.91278 Moussaoui, Ali; Ducrot, Arnaud; Moulai-Khatir, Anes; Auger, Pierre 2 2023 Rate-limiting recovery processes in neurotransmission under sustained stimulation. Zbl 1520.92016 Ernst, Ariane; Unger, Nathalie; Schütte, Christof; Walter, Alexander M.; Winkelmann, Stefanie 2 2023 \(\mathrm{IP}_3\mathrm{R}\) activity increases propensity of RyR-mediated sparks by elevating dyadic \([\mathrm{Ca}^{2+}]\). Zbl 1506.92040 Chung, Joshua; Tilūnaitė, Agnė; Ladd, David; Hunt, Hilary; Soeller, Christian; Crampin, Edmund J.; Johnston, Stuart T.; Roderick, H. Llewelyn; Rajagopal, Vijay 2 2023 An augmented phase plane approach for discrete planar maps: introducing next-iterate operators. Zbl 1507.37063 Streipert, Sabrina H.; Wolkowicz, Gail S. K. 2 2023 Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics. Zbl 1506.92079 Simpson, Matthew J.; Walker, Shannon A.; Studerus, Emma N.; McCue, Scott W.; Murphy, Ryan J.; Maclaren, Oliver J. 2 2023 Deconstructing the integrated oscillator model for pancreatic \(\beta \)-cells. Zbl 1527.92016 Bertram, Richard; Marinelli, Isabella; Fletcher, Patrick A.; Satin, Leslie S.; Sherman, Arthur S. 2 2023 On biological networks capable of robust adaptation in the presence of uncertainties: a linear systems-theoretic approach. Zbl 1519.92078 Bhattacharya, Priyan; Raman, Karthik; Tangirala, Arun K. 2 2023 A mathematical model of protein subunits COVID-19 vaccines. Zbl 1519.92119 Gholami, Samaneh; Korosec, Chapin S.; Farhang-Sardroodi, Suzan; Dick, David W.; Craig, Morgan; Ghaemi, Mohammad Sajjad; Ooi, Hsu Kiang; Heffernan, Jane M. 2 2023 NREM-REM alternation complicates transitions from napping to non-napping behavior in a three-state model of sleep-wake regulation. Zbl 1506.92006 Athanasouli, Christina; Kalmbach, Kelsey; Booth, Victoria; Diniz Behn, Cecilia G. 1 2023 The impact of temperature and decay in insecticide-treated net efficacy on malaria prevalence and control. Zbl 1506.92098 Ngonghala, Calistus N. 1 2023 Modeling hypoxia-related inflammation scenarios. Zbl 1506.92012 Ferrante, P.; Preziosi, L.; Scianna, M. 1 2023 Renewal equations for delayed population behaviour adaptation coupled with disease transmission dynamics: a mechanism for multiple waves of emerging infections. Zbl 1530.92290 Zhang, Xue; Scarabel, Francesca; Murty, Kumar; Wu, Jianhong 1 2023 Age structure, replicator equation, and the prisoner’s dilemma. Zbl 1530.92153 John, Sona; Müller, Johannes 1 2023 Investigating tumor-host response dynamics in preclinical immunotherapy experiments using a stepwise mathematical modeling strategy. Zbl 1534.92034 Jarrett, Angela M.; Song, Patrick N.; Reeves, Kirsten; Lima, Ernesto A. B. F.; Larimer, Benjamin; Yankeelov, Thomas E.; Sorace, Anna G. 1 2023 Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation. Zbl 1519.92056 Albright, Amanda; Fry, Brendan C.; Verticchio, Alice; Siesky, Brent; Harris, Alon; Arciero, Julia 1 2023 Optimal classification and generalized prevalence estimates for diagnostic settings with more than two classes. Zbl 1519.92102 Luke, Rayanne A.; Kearsley, Anthony J.; Patrone, Paul N. 1 2023 Influence of telomerase activity and initial distribution on human follicular aging: moving from a discrete to a continuum model. Zbl 1533.92068 Portillo, A. M.; Varela, E.; García-Velasco, J. A. 1 2023 Epidemic spread on patch networks with community structure. Zbl 1519.92274 Lieberthal, Brandon; Soliman, Aiman; Wang, Shaowen; De Urioste-Stone, Sandra; Gardner, Allison M. 1 2023 Frontiers of mathematical biology: a workshop honouring Professor Edmund Crampin. Zbl 07723626 1 2023 Applying a multi-strain dengue model to epidemics data. Zbl 1519.92246 de Araújo, Robert G. S.; Jorge, Daniel C. P.; Dorn, Rejane C.; Cruz-Pacheco, Gustavo; Esteva, M. Lourdes M.; Pinho, Suani T. R. 1 2023 Mathematical insights into the role of dopamine signaling in circadian entrainment. Zbl 1519.92013 Kim, Ruby; Nijhout, H. Frederik; Reed, Michael C. 1 2023 Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines. Zbl 1518.92043 Han, Lifeng; Messan, Marisabel Rodriguez; Yogurtcu, Osman N.; Nukala, Ujwani; Yang, Hong 1 2023 Imperfect vaccine can yield multiple Nash equilibria in vaccination games. Zbl 1518.92083 Augsburger, Ian B.; Galanthay, Grace K.; Tarosky, Jacob H.; Rychtář, Jan; Taylor, Dewey 1 2023 Critical assessment of the impact of vaccine-type and immunity on the burden of COVID-19. Zbl 1519.92125 Taboe, Hemaho B.; Asare-Baah, Michael; Iboi, Enahoro A.; Ngonghala, Calistus N. 1 2023 Coupling dynamics of 2D notch-delta signalling. Zbl 1522.92019 Berkemeier, Francisco; Page, Karen M. 1 2023 Demand-induced regime shift in fishery: a mathematical perspective. Zbl 1519.91182 Bairagi, Nandadulal; Bhattacharya, Santanu; Sarkar, Biswajit 1 2023 Discrete-time models for interactive wild and sterile mosquitoes with general time steps. Zbl 1489.37111 Yu, Jianshe; Li, Jia 20 2022 Impacts of demographic and environmental stochasticity on population dynamics with cooperative effects. Zbl 1505.92151 Feng, Tao; Zhou, Hongjuan; Qiu, Zhipeng; Kang, Yun 11 2022 On the anti-quasi-steady-state conditions of enzyme kinetics. Zbl 1492.92031 Eilertsen, Justin; Schnell, Santiago; Walcher, Sebastian 6 2022 Sterile insect technique with accidental releases of sterile females: impact on mosquito-borne diseases control when viruses are circulating. Zbl 1486.92221 Dumont, Y.; Yatat-Djeumen, I. V. 5 2022 Mathematical modeling for the combination treatment of IFN-\(\gamma\) and anti-PD-1 in cancer immunotherapy. Zbl 1505.92103 Liao, Kang-Ling; Watt, Kenton D. 4 2022 Variance of filtered signals: characterization for linear reaction networks and application to neurotransmission dynamics. Zbl 1486.92024 Ernst, Ariane; Schütte, Christof; Sigrist, Stephan J.; Winkelmann, Stefanie 4 2022 Optimal decision theory for diagnostic testing: minimizing indeterminate classes with applications to saliva-based SARS-CoV-2 antibody assays. Zbl 1500.92041 Patrone, Paul N.; Bedekar, Prajakta; Pisanic, Nora; Manabe, Yukari C.; Thomas, David L.; Heaney, Christopher D.; Kearsley, Anthony J. 4 2022 Robust control strategy by the sterile insect technique for reducing epidemiological risk in presence of vector migration. Zbl 1497.92356 Bliman, Pierre-Alexandre; Dumont, Yves 4 2022 Modelling realistic 3D deformations of simple epithelia in dynamic homeostasis. Zbl 1500.92016 Germano, Domenic P. J.; Johnston, Stuart T.; Crampin, Edmund J.; Osborne, James M. 3 2022 Revisiting moment-closure methods with heterogeneous multiscale population models. Zbl 1497.92207 Lunz, Davin; Bonnans, J. Frédéric; Ruess, Jakob 3 2022 Modeling the effect of gut microbiome on therapeutic efficacy of immune checkpoint inhibitors against cancer. Zbl 1497.92109 Chen, Yu; Lai, Xiulan 3 2022 A unifying framework for continuous tumour growth modelling of breast cancer screening data. Zbl 1505.92047 Isheden, Gabriel; Humphreys, Keith 2 2022 On predicting heterogeneity in nanoparticle dosage. Zbl 1505.92097 Dowling, Celia V.; Cevaal, Paula M.; Faria, Matthew; Johnston, Stuart T. 2 2022 Variant-specific interventions to slow down replacement and prevent outbreaks. Zbl 1486.92254 Majeed, Bushra; Tosato, Marco; Wu, Jianhong 2 2022 Optimal control of the SIR model with constrained policy, with an application to COVID-19. Zbl 1485.92121 Ding, Yujia; Schellhorn, Henry 2 2022 Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle. Zbl 1486.92012 Kim, Ruby; Witelski, Thomas P. 2 2022 Sequential allocation of vaccine to control an infectious disease. Zbl 1500.92050 Rao, Isabelle J.; Brandeau, Margaret L. 2 2022 An epidemic model for COVID-19 transmission in Argentina: exploration of the alternating quarantine and massive testing strategies. Zbl 1490.92117 Vassallo, Lautaro; Perez, Ignacio A.; Alvarez-Zuzek, Lucila G.; Amaya, Julián; Torres, Marcos F.; Valdez, Lucas D.; La Rocca, Cristian E.; Braunstein, Lidia A. 2 2022 Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: analytical distributions. Zbl 1492.92026 Filatova, Tatiana; Popović, Nikola; Grima, Ramon 2 2022 Life-history traits and the replicator equation. Zbl 1492.92051 Müller, Johannes; Tellier, Aurélien 2 2022 Uncovering cross-bridge properties that underlie the cardiac active complex modulus using model linearisation techniques. Zbl 1505.92041 Musgrave, Julia H.; Han, June-Chiew; Ward, Marie-Louise; Taberner, Andrew J.; Loiselle, Denis S.; Tran, Kenneth 1 2022 Numerical investigations of the bulk-surface wave pinning model. Zbl 1504.35580 Cusseddu, Davide; Madzvamuse, Anotida 1 2022 Open problems in mathematical biology. Zbl 1510.92009 Vittadello, Sean T.; Stumpf, Michael P. H. 1 2022 Epidemic local final size in a metapopulation network as indicator of geographical priority for control strategies in SIR type diseases. Zbl 1486.92226 Giménez-Mujica, U. J.; Anzo-Hernández, A.; Velázquez-Castro, J. 1 2022 Mathematical modelling of atrial and ventricular pressure-volume dynamics and their change with heart rate. Zbl 1486.92053 Noreen, Shumaila; Ben-Tal, Alona; Elstad, Maja; Sweatman, Winston L.; Ramchandra, Rohit; Paton, Julian 1 2022 Autocatalytic recombination systems: a reaction network perspective. Zbl 1486.92061 Craciun, Gheorghe; Deshpande, Abhishek; Joshi, Badal; Yu, Polly Y. 1 2022 Different costs of therapeutic resistance in cancer: short- and long-term impact of population heterogeneity. Zbl 1497.92120 Kareva, Irina 1 2022 Network thermodynamics of biological systems: a bond graph approach. Zbl 1500.92031 Gawthrop, Peter J.; Pan, Michael 1 2022 SBML to bond graphs: from conversion to composition. Zbl 1500.92036 Shahidi, Niloofar; Pan, Michael; Tran, Kenneth; Crampin, Edmund J.; Nickerson, David P. 1 2022 A hybrid stochastic model and its Bayesian identification for infectious disease screening in a university campus with application to massive COVID-19 screening at the university of Liège. Zbl 1492.92080 Arnst, M.; Louppe, G.; Van Hulle, R.; Gillet, L.; Bureau, F.; Denoël, V. 1 2022 Probabilistic predictions of SIS epidemics on networks based on population-level observations. Zbl 1497.92325 Zerenner, T.; Di Lauro, F.; Dashti, M.; Berthouze, L.; Kiss, I. Z. 1 2022 Impact of enzyme turnover on the dynamics of the Michaelis-Menten model. Zbl 1496.92030 Peletier, Lambertus A.; Gabrielsson, Johan 1 2022 Mathematical modelling of the mosquito Aedes polynesiensis in a heterogeneous environment. Zbl 1492.92130 Heath, Katherine; Bonsall, Michael B.; Marie, Jérôme; Bossin, Hervé C. 1 2022 Data-driven models for replication kinetics of Orthohantavirus infections. Zbl 1492.92079 Adams, Alison; Murphy, Quiyana M.; Dougherty, Owen P.; Sawyer, Aubrey M.; Bai, Fan; Edholm, Christina J.; Williams, Evan P.; Allen, Linda J. S.; Jonsson, Colleen B. 1 2022 COVID-19 optimal vaccination policies: a modeling study on efficacy, natural and vaccine-induced immunity responses. Zbl 1475.92100 Acuña-Zegarra, Manuel Adrian; Díaz-Infante, Saúl; Baca-Carrasco, David; Olmos-Liceaga, Daniel 15 2021 The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population. Zbl 1460.92214 Nipa, Kaniz Fatema; Jang, Sophia R.-J.; Allen, Linda J. S. 14 2021 A note on tools for prediction under uncertainty and identifiability of SIR-like dynamical systems for epidemiology. Zbl 1475.92186 Piazzola, Chiara; Tamellini, Lorenzo; Tempone, Raúl 12 2021 Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico. Zbl 1475.92152 Cuevas-Maraver, J.; Kevrekidis, P. G.; Chen, Q. Y.; Kevrekidis, G. A.; Villalobos-Daniel, Víctor; Rapti, Z.; Drossinos, Y. 10 2021 Optimal control of the SIR model in the presence of transmission and treatment uncertainty. Zbl 1474.92102 Gatto, Nicole M.; Schellhorn, Henry 8 2021 Optimal allocation of limited vaccine to control an infectious disease: simple analytical conditions. Zbl 1475.92103 Rao, Isabelle J.; Brandeau, Margaret L. 8 2021 Cell orientation under stretch: stability of a linear viscoelastic model. Zbl 1477.74076 Lucci, Giulio; Giverso, Chiara; Preziosi, Luigi 8 2021 The role of viral infectivity in oncolytic virotherapy outcomes: a mathematical study. Zbl 1475.92087 Pooladvand, Pantea; Yun, Chae-Ok; Yoon, A.-Rum; Kim, Peter S.; Frascoli, Federico 6 2021 To Sobol or not to Sobol? The effects of sampling schemes in systems biology applications. Zbl 1475.92078 Renardy, Marissa; Joslyn, Louis R.; Millar, Jess A.; Kirschner, Denise E. 6 2021 Effect of daily human movement on some characteristics of dengue dynamics. Zbl 1475.92194 Tocto-Erazo, Mayra R.; Olmos-Liceaga, Daniel; Montoya-Laos, José A. 4 2021 His and her mathematical models of physiological systems. Zbl 1475.92043 Layton, Anita T. 4 2021 Immunity after COVID-19: protection or sensitization? Zbl 1460.92118 Danchin, Antoine; Turinici, Gabriel 4 2021 Defining phylogenetic networks using ancestral profiles. Zbl 1475.92114 Bai, Allan; Erdős, Péter L.; Semple, Charles; Steel, Mike 3 2021 Evolution of mathematical models of cardiomyocyte electrophysiology. Zbl 1475.92041 Amuzescu, Bogdan; Airini, Razvan; Epureanu, Florin Bogdan; Mann, Stefan A.; Knott, Thomas; Radu, Beatrice Mihaela 3 2021 Stochastic epidemic models inference and diagnosis with Poisson random measure data augmentation. Zbl 1475.92183 Nguyen-Van-Yen, Benjamin; Del Moral, Pierre; Cazelles, Bernard 3 2021 Optimal allocation of limited vaccine to minimize the effective reproduction number. Zbl 1475.92104 Rao, Isabelle J.; Brandeau, Margaret L. 3 2021 Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance. Zbl 1475.92106 Roberts, M. G.; Burgess, S.; Toombs-Ruane, L. J.; Benschop, J.; Marshall, J. C.; French, N. P. 3 2021 Spatial modeling and dynamics of organic matter biodegradation in the absence or presence of bacterivorous grazing. Zbl 1460.92231 Chang, Xiaoyuan; Shi, Junping; Wang, Hao 3 2021 Squaring within the Colless index yields a better balance index. Zbl 1457.92123 Bartoszek, Krzysztof; Coronado, Tomás M.; Mir, Arnau; Rosselló, Francesc 3 2021 Interpreting SARS-CoV-2 seroprevalence, deaths, and fatality rate – making a case for standardized reporting to improve communication. Zbl 1475.92150 Cavataio, Joseph; Schnell, Santiago 2 2021 On the role of vesicle transport in neurite growth: modeling and experiments. Zbl 1475.92030 Humpert, Ina; Di Meo, Danila; Püschel, Andreas W.; Pietschmann, Jan-Frederik 2 2021 ...and 1344 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 29,238 Authors 188 Chen, Lansun 182 Jiang, Daqing 172 Teng, Zhi-dong 133 Jin, Zhen 111 Tang, Sanyi 107 Ruan, Shigui 105 Xu, Rui 103 Wu, Jianhong 93 Chattopadhyay, Joydev 93 Song, Xinyu 89 Xiao, Yanni 85 Li, Xuezhi 84 Takeuchi, Yasuhiro 81 Wang, Hao 79 Hayat, Tasawar 78 Elaiw, Ahmed M. 77 Huo, Hai-Feng 76 Gumel, Abba B. 75 Martcheva, Maia 75 Meng, Xinzhu 73 Wang, Ke 70 Zhao, Xiao-Qiang 68 Liu, Qun 68 van den Driessche, Pauline 68 Yuan, Sanling 66 Banerjee, Malay 66 Chen, Yuming 66 Samanta, Guru Prasad 65 Zhang, Tonghua 64 Kar, Tapan Kumar 64 Wang, Wendi 63 Cui, Jingan 63 Feng, Zhilan 63 Freedman, Herbert Irving 63 Qiu, Zhipeng 63 Wang, Jinliang 63 Zhang, Qimin 61 Misra, Arvind Kumar 61 Rong, Libin 59 Al-saedi, Ahmed Eid Salem 58 Allen, Linda J. S. 58 Kang, Yun 58 Liu, Meng 58 Ma, Wanbiao 58 Venturino, Ezio 57 Zou, Xingfu 56 Liu, Shengqiang 56 Yang, Junyuan 56 Zhu, Huaiping 55 Kumar Upadhyay, Ranjit 55 Webb, Glenn Francis 54 Kuang, Yang 53 Khan, Muhammad Altaf 53 Li, Jia 52 d’Onofrio, Alberto 52 Sun, Guiquan 52 Wang, Weiming 52 Wang, Xia 50 Castillo-Chavez, Carlos 49 Chaplain, Mark A. J. 49 Wei, Junjie 48 Ball, Frank G. 48 Cheke, Robert A. 48 Gao, Shujing 48 Liu, Xianning 48 Wang, Jin 47 Zhang, Long 46 Chen, Fengde 46 Lenhart, Suzanne M. 46 Li, Wan-Tong 46 Ma, Zhien 45 Byrne, Helen Mary 45 Cao, Jinde 45 Lewis, Mark Alun 45 Liu, Zhijun 45 Yakubu, Abdul-Aziz 45 Zhang, Tailei 44 Cai, Liming 44 Kuniya, Toshikazu 44 Lin, Zhigui 43 Lou, Yuan 43 Samanta, Sudip 42 Banks, Harvey Thomas 42 Bowong, Samuel 42 Cai, Yongli 42 Gakkhar, Sunita 42 Maini, Philip Kumar 41 Jiao, Jianjun 41 Li, Jianquan 41 Zhao, Hongyong 40 Mode, Charles J. 40 Perelson, Alan S. 40 Steel, Michael Anthony 40 Wang, Feng-Bin 40 Xu, Shihe 39 Băleanu, Dumitru I. 39 Buonomo, Bruno 39 Liu, Bing 39 Pei, Yongzhen 39 Torres, Delfim Fernando Marado ...and 29,138 more Authors all top 5 Cited in 928 Journals 2,662 Mathematical Biosciences 1,403 Journal of Theoretical Biology 1,143 Journal of Mathematical Biology 1,106 Bulletin of Mathematical Biology 834 Applied Mathematics and Computation 565 Mathematical Biosciences and Engineering 544 Journal of Mathematical Analysis and Applications 531 Chaos, Solitons and Fractals 517 Nonlinear Analysis. Real World Applications 504 Mathematical Methods in the Applied Sciences 496 International Journal of Biomathematics 440 Discrete and Continuous Dynamical Systems. Series B 439 Physica A 434 Theoretical Population Biology 388 Journal of Differential Equations 386 Communications in Nonlinear Science and Numerical Simulation 375 Advances in Difference Equations 375 Journal of Biological Dynamics 373 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 319 Applied Mathematical Modelling 315 Mathematical and Computer Modelling 272 Journal of Biological Systems 259 Discrete Dynamics in Nature and Society 249 Mathematics and Computers in Simulation 245 Journal of Applied Mathematics and Computing 234 Computers & Mathematics with Applications 219 Chaos 192 Nonlinear Dynamics 180 Journal of Computational and Applied Mathematics 172 Abstract and Applied Analysis 169 Applied Mathematics Letters 168 Physica D 145 Biological Cybernetics 142 Computational & Mathematical Methods in Medicine 138 SIAM Journal on Applied Mathematics 137 Journal of Difference Equations and Applications 132 Journal of Applied Analysis and Computation 122 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 122 Mathematical Modelling of Natural Phenomena 118 Journal of Applied Mathematics 116 Automatica 110 Journal of the Franklin Institute 110 Journal of Dynamics and Differential Equations 107 Computational and Applied Mathematics 101 Applicable Analysis 94 Journal of Mathematical Chemistry 94 Differential Equations and Dynamical Systems 93 SIAM Journal on Applied Dynamical Systems 85 Complexity 85 Nonlinear Analysis. Theory, Methods & Applications 82 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 80 International Journal of Applied and Computational Mathematics 79 Mathematical Problems in Engineering 79 Mathematical Population Studies 75 ZAMP. Zeitschrift für angewandte Mathematik und Physik 75 Qualitative Theory of Dynamical Systems 74 Stochastic Analysis and Applications 71 Journal of Nonlinear Science 66 International Journal of Systems Science 66 Discrete and Continuous Dynamical Systems. Series S 60 Acta Applicandae Mathematicae 60 Stochastic Processes and their Applications 59 Communications in Statistics. Theory and Methods 59 European Journal of Operational Research 59 Communications on Pure and Applied Analysis 59 Dynamic Games and Applications 57 Discrete and Continuous Dynamical Systems 57 Nonlinear Analysis. Modelling and Control 56 Journal of Statistical Physics 55 Journal of Optimization Theory and Applications 54 Journal of Computational Physics 54 Journal of Applied Probability 54 International Journal of Computer Mathematics 53 Computational Statistics and Data Analysis 52 The Annals of Applied Probability 51 Natural Resource Modeling 49 Advances in Applied Probability 48 Physics Letters. A 48 Acta Mathematicae Applicatae Sinica. English Series 48 AIMS Mathematics 47 International Journal of Control 47 Optimal Control Applications & Methods 47 Nonlinear Analysis. Hybrid Systems 46 SIAM Journal on Mathematical Analysis 46 Journal of Statistical Mechanics: Theory and Experiment 45 Journal of Statistical Planning and Inference 44 Computer Methods in Applied Mechanics and Engineering 44 Nonlinearity 44 Rocky Mountain Journal of Mathematics 44 Ricerche di Matematica 43 Discrete Applied Mathematics 43 Biometrics 43 Studies in Applied Mathematics 39 Journal of Economic Theory 39 Statistics & Probability Letters 39 Applied Numerical Mathematics 38 Theoretical Computer Science 38 Boundary Value Problems 38 Mathematics in Applied Sciences and Engineering 37 Computational and Mathematical Biophysics ...and 828 more Journals all top 5 Cited in 61 Fields 21,274 Biology and other natural sciences (92-XX) 7,997 Ordinary differential equations (34-XX) 4,455 Partial differential equations (35-XX) 2,958 Dynamical systems and ergodic theory (37-XX) 2,817 Probability theory and stochastic processes (60-XX) 1,958 Numerical analysis (65-XX) 1,898 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,772 Systems theory; control (93-XX) 1,438 Statistics (62-XX) 1,205 Calculus of variations and optimal control; optimization (49-XX) 646 Computer science (68-XX) 635 Difference and functional equations (39-XX) 582 Combinatorics (05-XX) 550 Integral equations (45-XX) 504 Operations research, mathematical programming (90-XX) 485 Fluid mechanics (76-XX) 399 Statistical mechanics, structure of matter (82-XX) 394 Operator theory (47-XX) 227 Mechanics of deformable solids (74-XX) 214 Real functions (26-XX) 158 Linear and multilinear algebra; matrix theory (15-XX) 148 Mechanics of particles and systems (70-XX) 134 Information and communication theory, circuits (94-XX) 132 Classical thermodynamics, heat transfer (80-XX) 68 Optics, electromagnetic theory (78-XX) 58 Global analysis, analysis on manifolds (58-XX) 50 Approximations and expansions (41-XX) 46 Functional analysis (46-XX) 43 General and overarching topics; collections (00-XX) 41 Geophysics (86-XX) 37 Algebraic geometry (14-XX) 37 Integral transforms, operational calculus (44-XX) 35 Commutative algebra (13-XX) 35 Measure and integration (28-XX) 31 Mathematical logic and foundations (03-XX) 30 History and biography (01-XX) 29 Quantum theory (81-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 25 Convex and discrete geometry (52-XX) 24 General topology (54-XX) 23 Number theory (11-XX) 22 Nonassociative rings and algebras (17-XX) 22 Special functions (33-XX) 21 Group theory and generalizations (20-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Differential geometry (53-XX) 16 Mathematics education (97-XX) 15 Field theory and polynomials (12-XX) 12 Functions of a complex variable (30-XX) 9 Topological groups, Lie groups (22-XX) 9 Algebraic topology (55-XX) 8 Manifolds and cell complexes (57-XX) 8 Astronomy and astrophysics (85-XX) 7 Geometry (51-XX) 6 Potential theory (31-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 4 Category theory; homological algebra (18-XX) 3 General algebraic systems (08-XX) 3 Associative rings and algebras (16-XX) 2 Relativity and gravitational theory (83-XX) Citations by Year