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: 4,472 Publications (since 1967) References Indexed: 4,388 Publications with 129,556 References. all top 5 Latest Issues 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) 279 (2016) 278 (2016) 277 (2016) 276 (2016) 275 (2016) 274 (2016) 273 (2016) 272 (2016) 271 (2016) 270, Part B (2015) 270, Part A (2015) 269 (2015) ...and 409 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 14 Allen, Linda J. S. 14 Dietz, Klaus 14 King, John Robert 14 Pickard, William F. 14 Ruan, Shigui 13 Godfrey, Keith R. 13 Gumel, Abba B. 13 Kuang, Yang 13 Takeuchi, Yasuhiro 13 Zheng, Qi 12 Chase, J. Geoffrey 12 Eisenfeld, Jerome 12 Hanin, Leonid G. 12 Kooi, Bob W. 12 Layton, Anita T. 11 Kuznetsov, Andrey V. 11 Martcheva, Maia 11 Müller, Johannes 11 Savageau, Michael A. 11 Steel, Michael Anthony 11 Vasudevan, Ramabhadra 11 Waltman, Paul Elvis 10 Britton, Tom 10 DeAngelis, Donald L. 10 Greenhalgh, David 10 Hadeler, Karl-Peter 10 Johnston, Peter Rex 10 Maini, Philip Kumar 10 May, Robert McCredie 10 Moolgavkar, Suresh H. 10 Sorribas, Albert 10 Tan, Wai-Yuan 10 Tveito, Aslak 10 Ueno, Sueo 10 Wu, Jianhong 10 Yakubu, Abdul-Aziz 10 Zhu, Huaiping 9 Demetrius, Lloyd A. 9 Engen, Steinar 9 Evans, Neil D. 9 Gyllenberg, Mats 9 Kopp-Schneider, Annette 9 Levin, Simon Asher 9 MacDonald, Norman 9 Milner, Fabio Augusto 9 Shiraishi, Fumihide 8 Auger, Pierre M. 8 Brandeau, Margaret L. 8 Byrne, Helen Mary 8 Chattopadhyay, Joydev 8 Chiang, Chin Long 8 Cosner, Chris 8 Diekmann, Odo 8 Fan, Meng 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 Pakes, Anthony G. 8 Pavarino, Luca Franco 8 Pavlou, Stavros 8 Rosen, Gerald 8 Ross, Joshua V. 8 Taccardi, Bruno 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 7 Docherty, Paul D. 7 Esteva, Lourdes 7 Guerri, Luciano 7 Hyman, James M. 7 Jean, Roger V. 7 Komarova, Natalia L. ...and 6,546 more Authors all top 5 Fields 4,192 Biology and other natural sciences (92-XX) 582 Probability theory and stochastic processes (60-XX) 554 Ordinary differential equations (34-XX) 402 Statistics (62-XX) 386 Systems theory; control (93-XX) 348 Numerical analysis (65-XX) 301 Partial differential equations (35-XX) 270 Dynamical systems and ergodic theory (37-XX) 198 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Calculus of variations and optimal control; optimization (49-XX) 86 Computer science (68-XX) 82 Fluid mechanics (76-XX) 78 Combinatorics (05-XX) 71 Integral equations (45-XX) 69 Operations research, mathematical programming (90-XX) 54 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) 18 General and overarching topics; collections (00-XX) 15 Operator theory (47-XX) 12 History and biography (01-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Mathematical logic and foundations (03-XX) 7 Approximations and expansions (41-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 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Measure and integration (28-XX) 1 Special functions (33-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 3,406 Publications have been cited 45,175 times in 24,411 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 3,039 2002 Evolutionarily stable strategies and game dynamics. Zbl 0395.90118 Taylor, Peter D.; Jonker, Leo B. 571 1978 A generalization of the Kermack-McKendrick deterministic epidemic model. Zbl 0398.92026 Capasso, Vincenzo; Serio, Gabriella 545 1978 Dynamics of HIV infection of CD4\(^ +\) T cells. Zbl 0796.92016 Perelson, Alan S.; Kirschner, Denise E.; de Boer, Rob 367 1993 A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009 Culshaw, Rebecca V.; Ruan, Shigui 320 2000 A time-delay model of single-species growth with stage structure. Zbl 0719.92017 Aiello, Walter G.; Freedman, H. I. 316 1990 A deterministic model for gonorrhea in a nonhomogeneous population. Zbl 0344.92016 Lajmanovich, Ana; Yorke, James A. 309 1976 Qualitative analyses of communicable disease models. Zbl 0326.92017 Hethcote, Herbert W. 263 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 250 1999 Modeling and analysis of a predator-prey model with disease in the prey. Zbl 0978.92031 Xiao, Yanni; Chen, Lansun 246 2001 Persistence in models of three interacting predator-prey populations. Zbl 0534.92026 Freedman, H. I.; Waltman, Paul 246 1984 Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042 Xiao, Dongmei; Ruan, Shigui 246 2007 On the diffusion of biological populations. Zbl 0362.92007 Gurtin, Morton E.; MacCamy, Richard C. 228 1977 Global stability for the SEIR model in epidemiology. Zbl 0821.92022 Li, Michael Y.; Muldowney, James S. 224 1995 Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035 Nelson, Patrick W.; Perelson, Alan S. 200 2002 A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017 Nelson, Patrick W.; Murray, James D.; Perelson, Alan S. 187 2000 Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011 Byrne, H. M.; Chaplain, M. A. J. 180 1995 Uniqueness of limit cycles in Gause-type models of predator-prey systems. Zbl 0642.92016 Kuang, Yang; Freedman, H. I. 178 1988 A simple vaccination model with multiple endemic states. Zbl 0954.92023 Kribs-Zaleta, Christopher M.; Velasco-Hernández, Jorge X. 175 2000 An epidemic model in a patchy environment. Zbl 1048.92030 Wang, Wendi; Zhao, Xiao-Qiang 173 2004 Analysis of a dengue disease transmission model. Zbl 0930.92020 Esteva, Lourdes; Vargas, Cristobal 170 1998 Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043 Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A. 170 2005 Backward bifurcation of an epidemic model with treatment. Zbl 1093.92054 Wang, Wendi 167 2006 Stability properties of pulse vaccination strategy in SEIR epidemic model. Zbl 0991.92025 d’Onofrio, Alberto 162 2002 Permanence and the dynamics of biological systems. Zbl 0783.92002 Hutson, Vivian; Schmitt, Klaus 162 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. 161 2006 Nonlinear aspects of chemotaxis. Zbl 0481.92010 Childress, S.; Percus, J. K. 159 1981 Biological growth and spread modeled by systems of recursions. I: Mathematical theory. Zbl 0706.92014 Lui, Roger 155 1989 Optimal harvesting and stability for two-species competitive system with stage structure. Zbl 1028.34049 Song, Xinyu; Chen, Lansun 152 2001 Uniform persistence and permanence for non-autonomous semiflows in population biology. Zbl 0970.37061 Thieme, Horst R. 150 2000 Backward bifurcations in dengue transmission dynamics. Zbl 1156.92036 Garba, S. M.; Gumel, A. B.; Bakar, M. R. Abu 146 2008 Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010 Byrne, H. M.; Chaplain, M. A. J. 140 1996 The differential infectivity and staged progression models for the transmission of HIV. Zbl 0942.92030 Hyman, James M.; Li, Jia; Stanley, E. Ann 138 1999 Global stability and persistence of simple food chains. Zbl 0572.92025 Freedman, H. I.; So, J. W.-H. 133 1985 Effects of quarantine in six endemic models for infectious diseases. Zbl 1019.92030 Hethcote, Herbert; Zhien, Ma; Shengbing, Liao 129 2002 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 126 1988 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. 119 1998 Discrete-time growth-dispersal models. Zbl 0595.92011 Kot, Mark; Schaffer, William M. 119 1986 Comparison of phylogenetic trees. Zbl 0451.92006 Robinson, D. F.; Foulds, L. R. 118 1981 Spreading disease: Integro-differential equations old and new. Zbl 1036.92030 Medlock, Jan; Kot, Mark 118 2003 Stochastic epidemic models: a survey. Zbl 1188.92031 Britton, Tom 117 2010 The dynamics of an infectious disease in a population with birth pulses. Zbl 0928.92027 Roberts, M. G.; Kao, R. R. 116 1998 Mathematical analysis of some three-species food-chain models. Zbl 0363.92022 Freedman, H. I.; Waltman, Paul 116 1977 Speeds of invasion in a model with strong or weak Allee effects. Zbl 0978.92033 Wang, Mei-Hui; Kot, Mark 116 2001 Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022 Allen, Linda J. S. 112 1994 Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024 Allen, Linda J. S.; Burgin, Amy M. 110 2000 Backward bifurcation in epidemic control. Zbl 0904.92031 Hadeler, K. P.; van den Driessche, P. 109 1997 Predator-prey dynamics in models of prey dispersal in two-patch environments. Zbl 0793.92014 Kuang, Yang; Takeuchi, Yasuhiro 108 1994 Some equations modelling growth processes and gonorrhea epidemics. Zbl 0251.92011 Cooke, Kenneth L.; Yorke, James A. 106 1973 The stage-structured predator-prey model and optimal harvesting policy. Zbl 0961.92037 Zhang, Xinan; Chen, Lansun; Neumann, Avidan U. 106 2000 On global stability of a predator-prey system. Zbl 0383.92014 Hsu, S. B. 104 1978 Global stability of an SIR epidemic model with information dependent vaccination. Zbl 1152.92019 Buonomo, Bruno; d’Onofrio, Alberto; Lacitignola, Deborah 103 2008 Global stability for cholera epidemic models. Zbl 1217.92068 Tian, Jianjun Paul; Wang, Jin 102 2011 Models for transmission of disease with immigration of infectives. Zbl 0995.92041 Brauer, Fred; van den Driessche, P. 99 2001 Influence of stochastic perturbation on prey-predator systems. Zbl 1124.92055 Rudnicki, Ryszard; Pichór, Katarzyna 99 2007 Propagation of HBV with spatial dependence. Zbl 1129.92052 Wang, Kaifa; Wang, Wendi 97 2007 System identifiability based on the power series expansion of the solution. Zbl 0393.92008 Pohjanpalo, H. 95 1978 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 95 2011 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 94 2015 Periodicity in an epidemic model with a generalized non-linear incidence. Zbl 1073.92040 Alexander, M. E.; Moghadas, S. M. 94 2004 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 94 2012 Analysis of logistic growth models. Zbl 0993.92028 Tsoularis, A.; Wallace, J. 93 2002 Heterogeneity in disease-transmission modeling. Zbl 0454.92020 Nold, Annett 91 1980 Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs. Zbl 0619.92006 Hethcote, Herbert W.; van Ark, James W. 91 1987 A ratio-dependent food chain model and its applications to biological control. Zbl 1036.92033 Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 89 2003 Heroin epidemics, treatment and ODE modelling. Zbl 1116.92062 White, Emma; Comiskey, Catherine 89 2007 A periodicity threshold theorem for epidemics and population growth. Zbl 0341.92012 Cooke, Kenneth L.; Kaplan, James L. 87 1976 Remarks on food chain dynamics. Zbl 0844.92025 Kuznetsov, Yu. A.; Rinaldi, S. 87 1996 Optimal harvesting policy for single population with periodic coefficients. Zbl 0940.92030 Fan, Meng; Wang, Ke 86 1998 A core group model for disease transmission. Zbl 0832.92021 Hadeler, K. P.; Castillo-Chavez, C. 86 1995 Role of optimal control theory in cancer chemotherapy. Zbl 0702.92007 Swan, George W. 85 1990 The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023 Byrne, H. M. 85 1997 Oscillatory viral dynamics in a delayed HIV pathogenesis model. Zbl 1168.92031 Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane 85 2009 Persistence in a model of three competitive populations. Zbl 0584.92018 Freedman, H. I.; Waltman, Paul 84 1985 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. 83 2007 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 80 1999 Stability of the endemic equilibrium in epidemic models with subpopulations. Zbl 0582.92024 Hethcote, Herbert W.; Thieme, Horst R. 80 1985 Movement toward better environments and the evolution of rapid diffusion. Zbl 1105.92036 Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan 80 2006 A simplified mathematical model of tumor growth. Zbl 0601.92007 Adam, John A. 79 1986 Some threshold results for models of myelinated nerves. Zbl 0454.92009 Bell, Jonathan 78 1981 Graphical stability, enrichment, and pest control by a natural enemy. Zbl 0373.92023 Freedman, H. I. 78 1976 On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Zbl 0987.92027 Carletti, M. 78 2002 Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025 Gurtin, Morton E.; MacCamy, Richard C. 77 1979 Using mathematical models to understand the AIDS epidemic. Zbl 0727.92025 Hyman, James M.; Stanley, E. Ann 77 1988 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. 77 2006 A mathematical model for the global spread of influenza. Zbl 0567.92017 Rvachev, Leonid A.; Longini, Ira M. jun. 77 1985 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 76 2007 Global dynamics of cholera models with differential infectivity. Zbl 1244.92040 Shuai, Zhisheng; van den Driessche, P. 74 2011 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. 73 2007 Models for integrated pest control and their biological implications. Zbl 1156.92046 Tang, Sanyi; Cheke, Robert A. 72 2008 An SIS patch model with variable transmission coefficients. Zbl 1218.92064 Gao, Daozhou; Ruan, Shigui 72 2011 A Petri net approach to the study of persistence in chemical reaction networks. Zbl 1133.92322 Angeli, David; De Leenheer, Patrick; Sontag, Eduardo D. 72 2007 Destabilizing effect of cannibalism on a structured predator-prey system. Zbl 0943.92030 Magnússon, Kjartan G. 70 1999 Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022 Cui, Shangbin; Friedman, Avner 70 2000 Persistence and extinction of a population in a polluted environment. Zbl 0714.92027 Ma, Zhien; Cui, Guirong; Wang, Wendi 70 1990 A structured epidemic model incorporating geographic mobility among regions. Zbl 0833.92020 Sattenspiel, Lisa; Dietz, Klaus 70 1995 A criterion for permanent coexistence of species, with an application to a two-prey one-predator system. Zbl 0524.92023 Hutson, V.; Vickers, G. T. 70 1983 Avian-human influenza epidemic model. Zbl 1114.92058 Iwami, Shingo; Takeuchi, Yasuhiro; Liu, Xianning 70 2007 A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis. Zbl 0986.92016 Levine, Howard A.; Sleeman, Brian D.; Nilsen-Hamilton, Marit 69 2000 Optimal harvesting from a population in a stochastic crowded environment. Zbl 0885.60052 Lungu, E. M.; Øksendal, B. 69 1997 Great fish war with moratorium. Zbl 1506.91122 Dahmouni, Ilyass; Parilina, Elena M.; Zaccour, Georges 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 \(\mathrm{IP}_3\mathrm{R}\) activity increases propensity of RyR-mediated sparks by elevating dyadic \([\mathrm{Ca}^{2+}]\). 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Zbl 07805063 Jewell, Thomas Jun; Krause, Andrew L.; Maini, Philip K.; Gaffney, Eamonn A. 1 2023 Discrete-time models for interactive wild and sterile mosquitoes with general time steps. Zbl 1489.37111 Yu, Jianshe; Li, Jia 11 2022 Impacts of demographic and environmental stochasticity on population dynamics with cooperative effects. Zbl 1505.92151 Feng, Tao; Zhou, Hongjuan; Qiu, Zhipeng; Kang, Yun 5 2022 Revisiting moment-closure methods with heterogeneous multiscale population models. Zbl 1497.92207 Lunz, Davin; Bonnans, J. Frédéric; Ruess, Jakob 3 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. 3 2022 Optimal decision theory for diagnostic testing: minimizing indeterminate classes with applications to saliva-based SARS-CoV-2 antibody assays. 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Zbl 1505.92097 Dowling, Celia V.; Cevaal, Paula M.; Faria, Matthew; Johnston, Stuart T. 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 Modeling the effect of gut microbiome on therapeutic efficacy of immune checkpoint inhibitors against cancer. Zbl 1497.92109 Chen, Yu; Lai, Xiulan 1 2022 Optimal control of the SIR model with constrained policy, with an application to COVID-19. Zbl 1485.92121 Ding, Yujia; Schellhorn, Henry 1 2022 Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle. Zbl 1486.92012 Kim, Ruby; Witelski, Thomas P. 1 2022 Autocatalytic recombination systems: a reaction network perspective. Zbl 1486.92061 Craciun, Gheorghe; Deshpande, Abhishek; Joshi, Badal; Yu, Polly Y. 1 2022 Sequential allocation of vaccine to control an infectious disease. Zbl 1500.92050 Rao, Isabelle J.; Brandeau, Margaret L. 1 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. 1 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. 1 2022 Modulation of nuclear and cytoplasmic mRNA fluctuations by time-dependent stimuli: analytical distributions. Zbl 1492.92026 Filatova, Tatiana; Popović, Nikola; Grima, Ramon 1 2022 Life-history traits and the replicator equation. Zbl 1492.92051 Müller, Johannes; Tellier, Aurélien 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 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. 11 2021 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 9 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 7 2021 Optimal control of the SIR model in the presence of transmission and treatment uncertainty. Zbl 1474.92102 Gatto, Nicole M.; Schellhorn, Henry 7 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. 7 2021 Cell orientation under stretch: stability of a linear viscoelastic model. Zbl 1477.74076 Lucci, Giulio; Giverso, Chiara; Preziosi, Luigi 5 2021 Optimal allocation of limited vaccine to control an infectious disease: simple analytical conditions. Zbl 1475.92103 Rao, Isabelle J.; Brandeau, Margaret L. 4 2021 Immunity after COVID-19: protection or sensitization? Zbl 1460.92118 Danchin, Antoine; Turinici, Gabriel 4 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. 3 2021 Defining phylogenetic networks using ancestral profiles. Zbl 1475.92114 Bai, Allan; Erdős, Péter L.; Semple, Charles; Steel, Mike 3 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 3 2021 His and her mathematical models of physiological systems. Zbl 1475.92043 Layton, Anita T. 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 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 2 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 2 2021 Predicting the results of competition between two breast cancer lines grown in 3-D spheroid culture. Zbl 1475.92053 Rodriguez Messan, Marisabel; Damaghi, Mehdi; Freischel, Audrey; Miao, Yan; Brown, Joel; Gillies, Robert; Wallace, Dorothy 2 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. 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 Optimal allocation of limited vaccine to minimize the effective reproduction number. Zbl 1475.92104 Rao, Isabelle J.; Brandeau, Margaret L. 2 2021 Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models. Zbl 1475.92182 Mitchell, Leah; Arnold, Andrea 2 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. 2 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 2 2021 Squaring within the Colless index yields a better balance index. Zbl 1457.92123 Bartoszek, Krzysztof; Coronado, Tomás M.; Mir, Arnau; Rosselló, Francesc 2 2021 Retrospective analysis of interventions to epidemics using dynamic simulation of population behavior. Zbl 1480.92211 Osborn, Jenna; Berman, Shayna; Bender-Bier, Sara; D’Souza, Gavin; Myers, Matthew 2 2021 Determining the effects of wind-aided midge movement on the outbreak and coexistence of multiple bluetongue virus serotypes in patchy environments. Zbl 1480.92209 Mugabi, Francis; Duffy, Kevin J.; Mugisha, Joseph Y. T.; Collins, Obiora C. 2 2021 Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems. Zbl 1483.92073 Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y. 2 2021 Sensitivity analysis of the reaction occurrence and recurrence times in steady-state biochemical networks. Zbl 1475.92073 Frezzato, Diego 1 2021 Stochastic stem cell models with mutation: a comparison of asymmetric and symmetric divisions. Zbl 1475.92031 Wu, Zhijie; Wang, Yuman; Wang, Kun; Zhou, Da 1 2021 A two-compartment model of oxygen transport in skeletal muscle using continuously distributed capillaries. Zbl 1477.35278 Afas, Keith C.; Vijay, Raashi; Goldman, Daniel 1 2021 Measuring differences between phenomenological growth models applied to epidemiology. Zbl 1474.92096 Bürger, Raimund; Chowell, Gerardo; Lara-Díaz, Leidy Yissedt 1 2021 Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading. Zbl 1475.92198 Winkelmann, Stefanie; Zonker, Johannes; Schütte, Christof; Djurdjevac Conrad, Nataša 1 2021 Modeling the life cycle of the spotted lanternfly (Lycorma delicatula) with management implications. Zbl 1475.92216 Strömbom, Daniel; Pandey, Swati 1 2021 Modeling and dynamics of physiological and behavioral resistance of Asian citrus psyllid. Zbl 1475.92212 Gao, Shujing; Guo, Jing; Xu, Yan; Tu, Yunbo; Zhu, Huaiping 1 2021 Assessment of effective mitigation and prediction of the spread of SARS-CoV-2 in Germany using demographic information and spatial resolution. Zbl 1475.92174 Kühn, Martin J.; Abele, Daniel; Mitra, Tanmay; Koslow, Wadim; Abedi, Majid; Rack, Kathrin; Siggel, Martin; Khailaie, Sahamoddin; Klitz, Margrit; Binder, Sebastian; Spataro, Luca; Gilg, Jonas; Kleinert, Jan; Häberle, Matthias; Plötzke, Lena; Spinner, Christoph D.; Stecher, Melanie; Zhu, Xiao Xiang; Basermann, Achim; Meyer-Hermann, Michael 1 2021 The inverse correlation between robustness and sensitivity to autoregulation in two-component systems. Zbl 1480.92082 Righetti, Elena; Kahramanoğulları, Ozan 1 2021 A branching process model of evolutionary rescue. Zbl 1480.92141 Azevedo, Ricardo B. R.; Olofsson, Peter 1 2021 Estimating cellular redundancy in networks of genetic expression. Zbl 1480.92080 Mulas, Raffaella; Casey, Michael J. 1 2021 A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees. Zbl 1480.92149 King, Matthew C.; Rosenberg, Noah A. 1 2021 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. 62 2020 Modeling behavioral change and COVID-19 containment in Mexico: a trade-off between lockdown and compliance. Zbl 1448.92118 Acuña-Zegarra, Manuel Adrian; Santana-Cibrian, Mario; Velasco-Hernandez, Jorge X. 18 2020 Staggered release policies for COVID-19 control: costs and benefits of relaxing restrictions by age and risk. Zbl 1448.92143 Zhao, Henry; Feng, Zhilan 18 2020 Modeling the transmission dynamics of the COVID-19 pandemic in South Africa. Zbl 1453.92298 Garba, Salisu M.; Lubuma, Jean M.-S.; Tsanou, Berge 18 2020 Modeling the impact of mass influenza vaccination and public health interventions on COVID-19 epidemics with limited detection capability. Zbl 1448.92132 Li, Qian; Tang, Biao; Bragazzi, Nicola Luigi; Xiao, Yanni; Wu, Jianhong 17 2020 Modeling the viral dynamics of SARS-CoV-2 infection. Zbl 1453.92324 Wang, Sunpeng; Pan, Yang; Wang, Quanyi; Miao, Hongyu; Brown, Ashley N.; Rong, Libin 15 2020 Could masks curtail the post-lockdown resurgence of COVID-19 in the US? Zbl 1453.92193 Ngonghala, Calistus N.; Iboi, Enahoro A.; Gumel, Abba B. 15 2020 A data-driven network model for the emerging COVID-19 epidemics in Wuhan, Toronto and Italy. Zbl 1448.92357 Xue, Ling; Jing, Shuanglin; Miller, Joel C.; Sun, Wei; Li, Huafeng; Estrada-Franco, José Guillermo; Hyman, James M.; Zhu, Huaiping 13 2020 The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics. Zbl 1448.92093 Eilertsen, Justin; Schnell, Santiago 12 2020 Multiscale moving boundary modelling of cancer interactions with a fusogenic oncolytic virus: the impact of syncytia dynamics. Zbl 1437.92056 Alzahrani, Talal; Eftimie, Raluca; Trucu, Dumitru 10 2020 Four-tier response system and spatial propagation of COVID-19 in China by a network model. Zbl 1460.92196 Ge, Jing; He, Daihai; Lin, Zhigui; Zhu, Huaiping; Zhuang, Zian 7 2020 On the benefits of flattening the curve: a perspective. Zbl 1448.92290 Feng, Zhilan; Glasser, John W.; Hill, Andrew N. 7 2020 European and US lockdowns and second waves during the COVID-19 pandemic. Zbl 1460.92198 Glass, David H. 6 2020 Sensitivity analysis methods in the biomedical sciences. Zbl 1437.92063 Qian, George; Mahdi, Adam 5 2020 Inference on an heteroscedastic Gompertz tumor growth model. Zbl 1453.92127 Albano, G.; Giorno, V.; Román-Román, P.; Román-Román, S.; Serrano-Pérez, J. J.; Torres-Ruiz, F. 5 2020 Risk structured model of cholera infections in Cameroon. Zbl 1437.92113 Che, Eric Ngang; Kang, Yeona; Yakubu, Abdul-Aziz 4 2020 About biomass overyielding of mixed cultures in batch processes. Zbl 1435.92040 Rapaport, A.; Nidelet, T.; El Aida, S.; Harmand, J. 4 2020 Insecticide resistance and malaria control: a genetics-epidemiology modeling approach. Zbl 1448.92323 Mohammed-Awel, Jemal; Iboi, Enahoro A.; Gumel, Abba B. 4 2020 Effects of periodic intake of drugs of abuse (morphine) on HIV dynamics: mathematical model and analysis. Zbl 1448.92134 Mutua, Jones M.; Wang, Feng-Bin; Vaidya, Naveen K. 4 2020 Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference. Zbl 1450.34030 Antwi-Fordjour, Kwadwo; Parshad, Rana D.; Beauregard, Matthew A. 4 2020 Dynamics of a two-sex model for the population ecology of dengue mosquitoes in the presence of Wolbachia. Zbl 1453.92265 Taghikhani, Rahim; Sharomi, Oluwaseun; Gumel, Abba B. 4 2020 Simulating COVID-19 in a university environment. Zbl 1453.92301 Gressman, Philip T.; Peck, Jennifer R. 4 2020 Exact and approximate formulas for contact tracing on random trees. Zbl 1436.92015 Okolie, Augustine; Müller, Johannes 3 2020 Piecewise-constant optimal control strategies for controlling the outbreak of COVID-19 in the Irish population. Zbl 1460.92213 Náraigh, Lennon Ó.; Byrne, Áine 3 2020 Modelling and control of a banana soilborne pest in a multi-seasonal framework. Zbl 1435.92084 Tankam-Chedjou, Israël; Touzeau, Suzanne; Mailleret, Ludovic; Tewa, Jean Jules; Grognard, Frédéric 3 2020 Investigation into the role of macrophages heterogeneity on solid tumour aggregations. Zbl 1435.92015 Eftimie, R. 3 2020 A new approach to simulating stochastic delayed systems. Zbl 1448.92075 Fatehi, Farzad; Kyrychko, Yuliya N.; Blyuss, Konstantin B. 3 2020 Application of the Goodwin model to autoregulatory feedback for stochastic gene expression. Zbl 1450.35261 Kozdęba, Agnieszka; Tomski, Andrzej 3 2020 Modeling COVID-19 pandemic using Bayesian analysis with application to Slovene data. Zbl 1453.92310 Manevski, Damjan; Ružić Gorenjec, Nina; Kejžar, Nataša; Blagus, Rok 3 2020 Scratch assay microscopy: a reaction-diffusion equation approach for common instruments and data. Zbl 1460.92106 Gnerucci, Alessio; Faraoni, Paola; Sereni, Elettra; Ranaldi, Francesco 2 2020 Addition of flow reactions preserving multistationarity and bistability. Zbl 1437.92047 Cappelletti, Daniele; Feliu, Elisenda; Wiuf, Carsten 2 2020 Assessing the role of human mobility on malaria transmission. Zbl 1437.92132 Mukhtar, Abdulaziz Y. A.; Munyakazi, Justin B.; Ouifki, Rachid 2 2020 Modelling triatomine bug population and Trypanosoma rangeli transmission dynamics: co-feeding, pathogenic effect and linkage with chagas disease. Zbl 1448.92355 Wu, Xiaotian; Gao, Daozhou; Song, Zilong; Wu, Jianhong 2 2020 ...and 1357 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 26,813 Authors 186 Chen, Lansun 163 Teng, Zhi-dong 160 Jiang, Daqing 127 Jin, Zhen 103 Tang, Sanyi 102 Ruan, Shigui 97 Xu, Rui 96 Wu, Jianhong 91 Song, Xinyu 87 Chattopadhyay, Joydev 81 Xiao, Yanni 80 Li, Xuezhi 78 Takeuchi, Yasuhiro 73 Meng, Xinzhu 72 Elaiw, Ahmed M. 72 Gumel, Abba B. 72 Wang, Ke 70 Hayat, Tasawar 70 Huo, Hai-Feng 70 Zhao, Xiao-Qiang 69 Martcheva, Maia 67 van den Driessche, Pauline 64 Yuan, Sanling 63 Freedman, Herbert Irving 62 Liu, Qun 62 Wang, Wendi 61 Cui, Jingan 61 Feng, Zhilan 61 Kar, Tapan Kumar 60 Qiu, Zhipeng 58 Wang, Hao 57 Banerjee, Malay 57 Wang, Jinliang 57 Zhang, Tonghua 55 Allen, Linda J. 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