Journal of Mathematical Biology Short Title: J. Math. Biol. Publisher: Springer, Berlin/Heidelberg ISSN: 0303-6812; 1432-1416/e Online: https://link.springer.com/journal/285/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,652 Publications (since 1974) References Indexed: 3,102 Publications with 108,827 References. all top 5 Latest Issues 90, No. 2 (2025) 90, No. 1 (2025) 89, No. 6 (2024) 89, No. 5 (2024) 89, No. 4 (2024) 89, No. 3 (2024) 89, No. 2 (2024) 89, No. 1 (2024) 88, No. 6 (2024) 88, No. 5 (2024) 88, No. 4 (2024) 88, No. 3 (2024) 88, No. 2 (2024) 88, No. 1 (2024) 87, No. 6 (2023) 87, No. 5 (2023) 87, No. 4 (2023) 87, No. 3 (2023) 87, No. 2 (2023) 87, No. 1 (2023) 86, No. 6 (2023) 86, No. 5 (2023) 86, No. 4 (2023) 86, No. 3 (2023) 86, No. 2 (2023) 86, No. 1 (2023) 85, No. 6-7 (2022) 85, No. 5 (2022) 85, No. 4 (2022) 85, No. 3 (2022) 85, No. 2 (2022) 85, No. 1 (2022) 84, No. 7 (2022) 84, No. 6 (2022) 84, No. 5 (2022) 84, No. 4 (2022) 84, No. 3 (2022) 84, No. 1-2 (2022) 83, No. 6-7 (2021) 83, No. 5 (2021) 83, No. 4 (2021) 83, No. 3 (2021) 83, No. 2 (2021) 83, No. 1 (2021) 82, No. 7 (2021) 82, No. 6 (2021) 82, No. 5 (2021) 82, No. 4 (2021) 82, No. 3 (2021) 82, No. 1-2 (2021) 81, No. 6-7 (2020) 81, No. 4-5 (2020) 81, No. 3 (2020) 81, No. 2 (2020) 81, No. 1 (2020) 80, No. 7 (2020) 80, No. 6 (2020) 80, No. 5 (2020) 80, No. 4 (2020) 80, No. 3 (2020) 80, No. 1-2 (2020) 79, No. 6-7 (2019) 79, No. 5 (2019) 79, No. 4 (2019) 79, No. 3 (2019) 79, No. 2 (2019) 79, No. 1 (2019) 78, No. 7 (2019) 78, No. 6 (2019) 78, No. 5 (2019) 78, No. 4 (2019) 78, No. 3 (2019) 78, No. 1-2 (2019) 77, No. 6-7 (2018) 77, No. 5 (2018) 77, No. 4 (2018) 77, No. 3 (2018) 77, No. 2 (2018) 77, No. 1 (2018) 76, No. 7 (2018) 76, No. 6 (2018) 76, No. 5 (2018) 76, No. 4 (2018) 76, No. 3 (2018) 76, No. 1-2 (2018) 75, No. 6-7 (2017) 75, No. 5 (2017) 75, No. 4 (2017) 75, No. 3 (2017) 75, No. 2 (2017) 75, No. 1 (2017) 74, No. 7 (2017) 74, No. 6 (2017) 74, No. 5 (2017) 74, No. 4 (2017) 74, No. 3 (2017) 74, No. 1-2 (2017) 73, No. 6-7 (2016) 73, No. 5 (2016) 73, No. 4 (2016) ...and 323 more Volumes all top 5 Authors 31 Maini, Philip Kumar 30 Diekmann, Odo 29 Metz, Johan A. Jacob 28 van den Driessche, Pauline 26 Byrne, Helen Mary 25 Wang, Hao 24 Gyllenberg, Mats 24 Lewis, Mark Alun 21 King, John Robert 21 Mackey, Michael Charles 21 Othmer, Hans G. 20 Ruan, Shigui 20 Smith, Hal Leslie 20 Thieme, Horst R. 18 Cushing, Jim M. 17 Hadeler, Karl-Peter 17 Stadler, Peter F. 16 Levin, Simon Asher 16 Nagylaki, Thomas 15 Bacaër, Nicolas 15 Hillen, Thomas 15 Huber, Katharina T. 15 Lutscher, Frithjof 15 Murray, James Dickson 14 Chaplain, Mark A. J. 14 Edelstein-Keshet, Leah 14 Hastings, Alan Matthew 14 Lou, Yuan 14 Moulton, Vincent L. 14 Steel, Michael Anthony 14 Wolkowicz, Gail S. K. 13 Broom, Mark 13 Cosner, Chris 13 Gourley, Stephen A. 13 Griffiths, Robert C. 13 Hofbauer, Josef 13 Hsu, Szebi 13 Keener, James P. 13 Liberman, Uri 13 Perelson, Alan S. 13 Sherratt, Jonathan A. 12 Geritz, Stefan A. H. 12 Hellmuth, Marc 12 Hethcote, Herbert W. 12 Lessard, Sabin 12 Li, Bingtuan 12 Mimura, Masayasu 12 Schreiber, Sebastian J. 12 Semple, Charles 11 Ermentrout, George Bard 11 Kuang, Yang 11 Méléard, Sylvie 11 Pugliese, Andrea 11 Shi, Junping 10 Baake, Ellen 10 Bürger, Reinhard 10 Cantrell, Robert Stephen 10 Feng, Zhilan 10 Hening, Alexandru 10 Notohara, Morihiro 10 Painter, Kevin J. 10 Roberts, Michael George 10 Sleeman, Brian David 10 Webb, Glenn Francis 10 Weinberger, Hans Felix 10 Wu, Jianhong 10 Zhao, Xiao-Qiang 10 Zou, Xingfu 9 Ball, Frank G. 9 Cressman, Ross 9 Dieckmann, Ulf 9 Jin, Zhen 9 Kisdi, Éva 9 Kiss, István Z. 9 Lui, Roger 9 Oster, George F. 9 Sumner, Jeremy G. 8 Alt, Wolfgang 8 Calsina, Àngel 8 Castillo-Chavez, Carlos 8 Clote, Peter G. 8 Cooke, Kenneth L. 8 De Leenheer, Patrick 8 Francis, Andrew R. 8 Friedman, Avner 8 Hallam, Thomas G. 8 Heesterbeek, J. A. P. 8 Lam, King-Yeung 8 Ma, Junling 8 Preziosi, Luigi 8 Shu, Hongying 8 Tuljapurkar, Shripad D. 8 Vermolen, Fred J. 8 Wang, Lin 7 Allen, Linda J. S. 7 Banks, Harvey Thomas 7 Beretta, Edoardo 7 Brauer, Fred 7 Busenberg, Stavros N. 7 Capasso, Vincenzo ...and 5,128 more Authors all top 5 Fields 3,562 Biology and other natural sciences (92-XX) 798 Partial differential equations (35-XX) 779 Ordinary differential equations (34-XX) 666 Probability theory and stochastic processes (60-XX) 433 Dynamical systems and ergodic theory (37-XX) 280 Numerical analysis (65-XX) 179 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 170 Combinatorics (05-XX) 151 Systems theory; control (93-XX) 140 Statistics (62-XX) 130 Integral equations (45-XX) 102 Difference and functional equations (39-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 63 Fluid mechanics (76-XX) 58 Operations research, mathematical programming (90-XX) 57 Operator theory (47-XX) 47 Statistical mechanics, structure of matter (82-XX) 43 Mechanics of deformable solids (74-XX) 42 Computer science (68-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 21 Information and communication theory, circuits (94-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Nonassociative rings and algebras (17-XX) 14 Group theory and generalizations (20-XX) 11 History and biography (01-XX) 10 Real functions (26-XX) 10 Approximations and expansions (41-XX) 10 Functional analysis (46-XX) 10 Optics, electromagnetic theory (78-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 Convex and discrete geometry (52-XX) 8 Manifolds and cell complexes (57-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 General topology (54-XX) 5 Algebraic topology (55-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 4 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,028 Publications have been cited 54,055 times in 29,680 Documents Cited by ▼ Year ▼ On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations. Zbl 0726.92018 Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 1,591 1990 A user’s guide to PDE models for chemotaxis. Zbl 1161.92003 Hillen, T.; Painter, K. J. 996 2009 Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023 Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh 429 1986 Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039 Thieme, Horst R. 407 1992 Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014 Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A. 358 1987 Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032 Kuang, Yang; Beretta, Edoardo 337 1998 Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012 Kirschner, Denise; Panetta, John Carl 330 1998 The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013 Dieckmann, Ulf; Law, Richard 297 1996 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036 Weinberger, Hans F. 277 2002 Models of dispersal in biological systems. Zbl 0713.92018 Othmer, Hans G.; Dunbar, S. R.; Alt, W. 273 1988 The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021 Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark 257 1998 The evolution of dispersal. Zbl 1052.92042 Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T. 257 2003 Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020 Diekmann, O. 238 1978 The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056 Bacaër, Nicolas; Guernaoui, Souad 237 2006 A non-local model for a swarm. Zbl 0940.92032 Mogilner, Alexander; Edelstein-Keshet, Leah 234 1999 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040 Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 231 2002 A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057 Lou, Yijun; Zhao, Xiao-Qiang 227 2011 Predator-prey populations with parasitic infection. Zbl 0716.92021 Hadeler, K. P.; Freedman, H. I. 225 1989 Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035 Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 224 2001 Local vs. non-local interactions in population dynamics. Zbl 0714.92012 Furter, J.; Grinfeld, M. 222 1989 Modelling the fear effect in predator-prey interactions. Zbl 1358.34058 Wang, Xiaoying; Zanette, Liana; Zou, Xingfu 219 2016 Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033 Tang, Sanyi; Chen, Lansun 200 2002 Some epidemiological models with nonlinear incidence. Zbl 0722.92015 Hethcote, H. W.; van den Driessche, P. 195 1991 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031 Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 194 2002 A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043 Gourley, Stephen A.; Kuang, Yang 190 2004 A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011 Culshaw, Rebecca V.; Webb, Glenn 182 2003 Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012 Mena-Lorca, Jaime; Hethcote, Herbert W. 181 1992 Predator-prey system with strong Allee effect in prey. Zbl 1232.92076 Wang, Jinfeng; Shi, Junping; Wei, Junjie 177 2011 Optimal control of the chemotherapy of HIV. Zbl 0876.92016 Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve 173 1997 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047 Berestycki, Henri; Hamel, François; Roques, Lionel 172 2005 Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018 Friedman, Avner; Reitich, Fernando 172 1999 Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031 Xiao, Dongmei; Ruan, Shigui 171 2001 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016 Cooke, K.; van den Driessche, P.; Zou, X. 170 1999 Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022 Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos 163 1998 Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025 Feng, Zhilan; Velasco-Hernández, Jorge X. 163 1997 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019 Beretta, Edoardo; Takeuchi, Yasuhiro 162 1995 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019 Cooke, K. L.; van den Driessche, P. 157 1996 The dynamics of density dependent population models. Zbl 0379.92016 Guckenheimer, J.; Oster, G.; Ipaktchi, A. 156 1977 A simplified neuron model as a principal component analyzer. Zbl 0488.92012 Oja, Erkki 156 1982 A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029 van den Driessche, P.; Watmough, James 155 2000 State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067 Tang, Sanyi; Cheke, Robert A. 149 2005 Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024 Dunbar, Steven R. 148 1983 Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001 Alt, Wolfgang 146 1980 Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019 Hallam, T. G.; Clark, C. E.; Jordan, G. S. 141 1983 Evolution of dispersal in open advective environments. Zbl 1307.35144 Lou, Yuan; Lutscher, Frithjof 140 2014 Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050 Stinner, C.; Tello, J. I.; Winkler, M. 140 2014 Geometric singular perturbation theory in biological practice. Zbl 1311.34133 Hek, Geertje 134 2010 A competitive exclusion principle for pathogen virulence. Zbl 0715.92027 Bremermann, H. J.; Thieme, H. R. 133 1989 Predator-prey models with delay and prey harvesting. Zbl 1008.34066 Martin, Annik; Ruan, Shigui 132 2001 Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009 Hadeler, K. P.; Rothe, F. 131 1975 SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036 Volz, Erik 130 2008 Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006 Ruuth, Steven J. 129 1995 To treat or not to treat: The case of tuberculosis. Zbl 0895.92024 Castillo-Chavez, Carlos; Feng, Zhilan 128 1997 Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021 Busenberg, S.; van den Driessche, P. 127 1990 Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028 Gourley, S. A. 125 2000 Chaos in three species food chains. Zbl 0823.92030 Klebanoff, Aaron; Hastings, Alan 122 1994 Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039 Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M. 122 2009 A selection-migration model in population genetics. Zbl 0325.92009 Fleming, W. H. 121 1975 The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018 Cantrell, R. S.; Cosner, C. 120 1991 Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015 De Mottoni, Piero; Schiaffino, Andrea 119 1981 Competition for fluctuating nutrient. Zbl 0525.92024 Hale, J. K.; Somolinos, A. S. 116 1983 A delay differential equation model for tumor growth. Zbl 1023.92014 Villasana, Minaya; Radunskaya, Ami 112 2003 Isochrons and phaseless sets. Zbl 0345.92001 Guckenheimer, J. 112 1975 The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035 Hutson, V.; Mischaikow, K.; Poláčik, P. 111 2001 On the stability of the cell size distribution. Zbl 0543.92021 Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 110 1984 A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013 Cohen, Donald S.; Murray, James D. 110 1981 A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018 Gourley, S. A.; Britton, N. F. 109 1996 Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. Zbl 0468.92016 Capasso, V.; Maddalena, L. 109 1981 Nonlinear simulation of tumor growth. Zbl 1023.92013 Cristini, Vittorio; Lowengrub, John; Nie, Qing 108 2003 Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125 Freedman, H. I.; Shukla, J. B. 108 1991 Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010 Mimura, Masayasu; Kawasaki, Kohkichi 108 1980 Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019 Hofbauer, J.; Hutson, V.; Jansen, W. 107 1987 Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067 Liu, Meng; Bai, Chuanzhi 107 2016 Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009 Herrero, Miguel A.; Velázquez, Juan J. L. 106 1996 Optimal HIV treatment by maximising immune response. Zbl 1057.92035 Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J. 105 2004 The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021 Collings, John B. 103 1997 Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028 Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M. 103 1989 On the differential equations of species in competition. Zbl 0344.92009 Smale, S. 102 1976 On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019 Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J. 99 2001 Persistence in population models with demographic fluctuations. Zbl 0606.92022 Hallam, Thomas G.; Zhien, Ma 99 1986 Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122 Beltrami, Edward; Carroll, T. O. 98 1994 Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040 Chen, Xinfu; Hambrock, Richard; Lou, Yuan 97 2008 Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055 Shi, Junping; Shivaji, Ratnasingham 97 2006 Spatial patterning of the spruce budworm. Zbl 0412.92020 Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 97 1979 Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003 Chaplain, M. A. J.; Ganesh, M.; Graham, I. G. 96 2001 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046 Martcheva, Maia; Thieme, Horst R. 96 2003 Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004 Ermentrout, G. B.; Kopell, N. 96 1991 Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019 Inaba, H. 96 1990 Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028 Imhof, Lorens A.; Nowak, Martin A. 96 2006 Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020 Schwartz, Ira B.; Smith, H. L. 95 1983 Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026 Huang, Jianhua; Lu, Gang; Ruan, Shigui 94 2003 Persistence in fluctuating environments. Zbl 1232.92075 Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S. 94 2011 A model for the spatial spread of an epidemic. Zbl 0373.92031 Thieme, H. R. 94 1977 Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043 Berezovskaya, F.; Karev, G.; Arditi, R. 93 2001 Disease transmission models with density-dependent demographics. Zbl 0774.92018 Gao, Linda Q.; Hethcote, Herbert W. 93 1992 Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020 Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G. 92 2004 The threshold of survival for system of two species in polluted environment. Zbl 0745.92028 Liu, Huaping; Ma, Zhien 92 1991 An adaptive model for synchrony in the firefly Pteroptyx malaccae. Zbl 0719.92009 Ermentrout, B. 92 1991 Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017 Brokate, Martin 91 1985 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014 Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 91 2005 Mutations make pandemics worse or better: modeling SARS-CoV-2 variants and imperfect vaccination. Zbl 1533.92196 Bugalia, Sarita; Tripathi, Jai Prakash; Wang, Hao 3 2024 Global stability and parameter analysis reinforce therapeutic targets of PD-L1-PD-1 and MDSCs for glioblastoma. Zbl 1530.92081 Anderson, Hannah G.; Takacs, Gregory P.; Harris, Duane C.; Kuang, Yang; Harrison, Jeffrey K.; Stepien, Tracy L. 3 2024 Quantifying the difference between phylogenetic diversity and diversity indices. Zbl 1533.92148 Bordewich, Magnus; Semple, Charles 2 2024 Calibration of agent based models for monophasic and biphasic tumour growth using approximate Bayesian computation. Zbl 1533.92053 Wang, Xiaoyu; Jenner, Adrianne L.; Salomone, Robert; Warne, David J.; Drovandi, Christopher 2 2024 Anomalous networks under the multispecies coalescent: theory and prevalence. Zbl 1533.92146 Ané, Cécile; Fogg, John; Allman, Elizabeth S.; Baños, Hector; Rhodes, John A. 2 2024 Final epidemic size of a two-community SIR model with asymmetric coupling. Zbl 1533.92204 Han, Zhimin; Wang, Yi; Gao, Shan; Sun, Guiquan; Wang, Hao 2 2024 The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche. Zbl 1547.35693 Dipierro, Serena; Proietti Lippi, Edoardo; Valdinoci, Enrico 2 2024 Phytoplankton-chytrid-zooplankton dynamics via a reaction-diffusion-advection mycoloop model. Zbl 07873586 Zhang, Jimin; Han, Xu; Wang, Hao 1 2024 Homeostasis in networks with multiple inputs. Zbl 1544.92070 Madeira, João Luiz de Oliveira; Antoneli, Fernando 1 2024 Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections. Zbl 1536.35178 Li, Zhimin; Zhao, Xiao-Qiang 1 2024 Modelling non-local cell-cell adhesion: a multiscale approach. Zbl 1540.35417 Zhigun, Anna; Rajendran, Mabel Lizzy 1 2024 Structural stability of invasion graphs for Lotka-Volterra systems. Zbl 1546.34104 Almaraz, Pablo; Kalita, Piotr; Langa, José A.; Soler-Toscano, Fernando 1 2024 Optimal vaccination ages for emerging infectious diseases under limited vaccine supply. Zbl 1530.92119 Ai, Mingxia; Wang, Wendi 1 2024 A stochastic lipid structured model for macrophage dynamics in atherosclerotic plaques. Zbl 1529.92011 Eisenbaum, Nathalie; Meunier, Nicolas 1 2024 The role of natural recovery category in malaria dynamics under saturated treatment. Zbl 1535.35016 Wang, Jing; Zhao, Hongyong; Wang, Hao 1 2024 Three-stage modeling of HIV infection and implications for antiretroviral therapy. Zbl 1533.92120 Clarke, Cameron; Pankavich, Stephen 1 2024 A mathematical model for axonal transport of large cargo vesicles. Zbl 1530.92028 Rahman, Nizhum; Oelz, Dietmar B. 1 2024 Threshold behavior and exponential ergodicity of an SIR epidemic model: the impact of random jamming and hospital capacity. Zbl 1549.92083 Lan, Guijie; Yuan, Sanling; Song, Baojun 1 2024 A time independent least squares algorithm for parameter identification of Turing patterns in reaction-diffusion systems. Zbl 1530.35127 Chang, Lili; Wang, Xinyu; Sun, Guiquan; Wang, Zhen; Jin, Zhen 1 2024 Exploring dynamics of plant-herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response. Zbl 1530.92192 Shabbir, Muhammad Sajjad; Din, Qamar; De la Sen, Manuel; Gómez-Aguilar, J. F. 1 2024 Coexistence in two-species competition with delayed maturation. Zbl 1532.34085 El-Hachem, Maud; Beeton, Nicholas J. 1 2024 Vector-borne disease models with Lagrangian approach. Zbl 1534.92073 Gao, Daozhou; Cao, Linlin 1 2024 Stochastic transmission in epidemiological models. Zbl 1533.92186 Albani, Vinicius V. L.; Zubelli, Jorge P. 1 2024 The robustness of phylogenetic diversity indices to extinctions. Zbl 1540.92087 Manson, Kerry 1 2024 The persistence of bipartite ecological communities with Lotka-Volterra dynamics. Zbl 1546.92165 Dopson, Matt; Emary, Clive 1 2024 Vector-borne disease outbreak control via instant releases. Zbl 07952143 Almeida, Luis; Bellver-Arnau, Jesús; Privat, Yannick; Rebelo, Carlota 1 2024 A West Nile virus nonlocal model with free boundaries and seasonal succession. Zbl 1506.35283 Pu, Liqiong; Lin, Zhigui; Lou, Yuan 13 2023 Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping. Zbl 1512.35004 Wang, Hao; Salmaniw, Yurij 13 2023 Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment. Zbl 1509.35327 Zhao, Hongyong; Wang, Kai; Wang, Hao 9 2023 Human mobility and disease prevalence. Zbl 1519.92279 Lou, Yuan; Salako, Rachidi B.; Song, Pengfei 9 2023 Impact of population size and movement on the persistence of a two-strain infectious disease. Zbl 1511.92088 Salako, Rachidi B. 8 2023 Bifurcations driven by generalist and specialist predation: mathematical interpretation of Fennoscandia phenomenon. Zbl 1519.34055 Zhang, Yuyue; Huang, Jicai; Wang, Hao 8 2023 General conditions for Turing and wave instabilities in reaction-diffusion systems. Zbl 1509.35133 Villar-Sepúlveda, Edgardo; Champneys, Alan R. 7 2023 An SIR model with viral load-dependent transmission. Zbl 1512.35589 Della Marca, Rossella; Loy, Nadia; Tosin, Andrea 6 2023 Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera. Zbl 1526.92017 Yang, Junyuan; Jia, Peiqi; Wang, Jin; Jin, Zhen 6 2023 Perceptive movement of susceptible individuals with memory. Zbl 1512.92131 Zhang, Hua; Wang, Hao; Wei, Junjie 6 2023 Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data. Zbl 1521.92007 Lee, Seungjoon; Psarellis, Yorgos M.; Siettos, Constantinos I.; Kevrekidis, Ioannis G. 6 2023 Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives. Zbl 1525.34077 Ruan, Shigui; Xiao, Dongmei 6 2023 A stochastic dynamical model for nosocomial infections with co-circulation of sensitive and resistant bacterial strains. Zbl 1524.92118 Wang, Lei; Teng, Zhidong; Huo, Xi; Wang, Kai; Feng, Xiaomei 5 2023 On inverse problems for several coupled PDE systems arising in mathematical biology. Zbl 1529.35531 Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui 5 2023 Identifiability of local and global features of phylogenetic networks from average distances. Zbl 1505.92143 Xu, Jingcheng; Ané, Cécile 4 2023 Effects of dispersal rates in a two-stage reaction-diffusion system. Zbl 1505.92149 Cantrell, R. S.; Cosner, C.; Salako, R. B. 4 2023 Cannibalistic enemy-pest model: effect of additional food and harvesting. Zbl 1522.92088 Tripathi, Jai Prakash; Tripathi, Deepak; Mandal, Swarnendu; Shrimali, Manish Dev 4 2023 The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models. Zbl 1522.92048 Grumbach, Carolin; Reurik, Femke N.; Segura, Juan; Franco, Daniel; Hilker, Frank M. 4 2023 Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations. Zbl 1530.91112 Duong, M. H.; Durbac, C. M.; Han, T. A. 4 2023 Population dynamics with resource-dependent dispersal: single- and two-species models. Zbl 1506.35115 Tang, De; Wang, Zhi-An 4 2023 An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay. Zbl 1505.92125 Wang, Yan; Liu, Jun; Zhang, Xinhong; Heffernan, Jane M. 4 2023 Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy. Zbl 1507.92090 Deng, Jiawei; Shu, Hongying; Wang, Lin; Wang, Xiang-Sheng 4 2023 Novel spatial profiles of some diffusive SIS epidemic models. Zbl 1529.35206 Peng, Rui; Wang, Zhi-An; Zhang, Guanghui; Zhou, Maolin 3 2023 The tree of blobs of a species network: identifiability under the coalescent. Zbl 1505.92135 Allman, Elizabeth S.; Baños, Hector; Mitchell, Jonathan D.; Rhodes, John A. 3 2023 Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species. Zbl 1522.35224 He, Xiaoqing; Ni, Wei-Ming; Wang, Haoyi 3 2023 SIRC epidemic model with cross-immunity and multiple time delays. Zbl 1520.92063 Goel, Shashank; Bhatia, Sumit Kaur; Tripathi, Jai Prakash; Bugalia, Sarita; Rana, Mansi; Bajiya, Vijay Pal 3 2023 A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models. Zbl 1506.92088 Diekmann, Odo; Inaba, Hisashi 3 2023 Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model. Zbl 1512.34096 Ji, Juping; Milne, Russell; Wang, Hao 3 2023 Ancestral reproductive bias in branching processes. Zbl 1511.60121 Cheek, David; Johnston, Samuel G. G. 3 2023 A hierarchical intervention scheme based on epidemic severity in a community network. Zbl 1519.92258 He, Runzi; Luo, Xiaofeng; Asamoah, Joshua Kiddy K.; Zhang, Yongxin; Li, Yihong; Jin, Zhen; Sun, Gui-Quan 3 2023 Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks. Zbl 1516.92111 Kiss, István Z.; Kenah, Eben; Rempała, Grzegorz A. 3 2023 Low-rank tensor methods for Markov chains with applications to tumor progression models. Zbl 1505.92046 Georg, Peter; Grasedyck, Lars; Klever, Maren; Schill, Rudolf; Spang, Rainer; Wettig, Tilo 2 2023 The existence and stability of spikes in the one-dimensional Keller-Segel model with logistic growth. Zbl 1505.35021 Kong, Fanze; Wei, Juncheng; Xu, Liangshun 2 2023 Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model. Zbl 1522.35519 Kang, Hao 2 2023 Optimal control of bioproduction in the presence of population heterogeneity. Zbl 1508.92086 Lunz, Davin; Bonnans, J. Frédéric; Ruess, Jakob 2 2023 Relative prevalence-based dispersal in an epidemic patch model. Zbl 1508.92280 Lu, Min; Gao, Daozhou; Huang, Jicai; Wang, Hao 2 2023 Modeling tumour heterogeneity of PD-L1 expression in tumour progression and adaptive therapy. Zbl 1507.92047 Ma, Shizhao; Lei, Jinzhi; Lai, Xiulan 2 2023 Mathematical analysis of topological and random \(m\)-order spread models. Zbl 1512.37057 Ban, Jung-Chao; Hong, Jyy-I; Wu, Yu-Liang 2 2023 Epidemic modeling with heterogeneity and social diffusion. Zbl 1511.92069 Berestycki, Henri; Desjardins, Benoît; Weitz, Joshua S.; Oury, Jean-Marc 2 2023 Geometry of fitness landscapes: peaks, shapes and universal positive epistasis. Zbl 1511.92045 Crona, Kristina; Krug, Joachim; Srivastava, Malvika 2 2023 The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19. Zbl 1516.34121 Pell, Bruce; Brozak, Samantha; Phan, Tin; Wu, Fuqing; Kuang, Yang 2 2023 Fixation probability in evolutionary dynamics on switching temporal networks. Zbl 1526.92033 Bhaumik, Jnanajyoti; Masuda, Naoki 2 2023 An age-dependent immuno-epidemiological model with distributed recovery and death rates. Zbl 1510.35344 Ghosh, Samiran; Volpert, Vitaly; Banerjee, Malay 2 2023 Optimal vaccination: various (counter) intuitive examples. Zbl 1506.92055 Delmas, Jean-François; Dronnier, Dylan; Zitt, Pierre-André 2 2023 Accessibility percolation on Cartesian power graphs. Zbl 1515.92043 Schmiegelt, Benjamin; Krug, Joachim 2 2023 Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. Zbl 1506.35008 Lu, Min-Jhe; Hao, Wenrui; Hu, Bei; Li, Shuwang 2 2023 Optimal vaccine allocation for the control of sexually transmitted infections. Zbl 1512.92046 Saldaña, Fernando; Steindorf, Vanessa; Srivastav, Akhil Kumar; Stollenwerk, Nico; Aguiar, Maíra 2 2023 A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035 Fralix, Brian; Holmes, Mark; Löpker, Andreas 2 2023 Global stability of latency-age/stage-structured epidemic models with differential infectivity. Zbl 1517.34111 Liu, Xiaogang; Chen, Yuming; Li, Xiaomin; Li, Jianquan 2 2023 Exploring how ecological and epidemiological processes shape multi-host disease dynamics using global sensitivity analysis. Zbl 1518.92145 Hanthanan Arachchilage, Kalpana; Hussaini, Mohammed Y.; Cogan, N. G.; Cortez, Michael H. 2 2023 Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach. Zbl 1512.35591 Heggerud, Christopher M.; Lam, King-Yeung; Wang, Hao 2 2023 Bifurcation analysis of critical values for wound closure outcomes in wound healing experiments. Zbl 1512.92014 Webb, Glenn; Zhao, Xinyue Evelyn 2 2023 Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation. Zbl 1505.92254 Eigentler, L.; Sherratt, J. A. 2 2023 Inference on autoregulation in gene expression with variance-to-mean ratio. Zbl 1514.92067 Wang, Yue; He, Siqi 2 2023 Treatment strategies for the latent tuberculosis infections. Zbl 1518.37082 Cao, Hui; Song, Baojun; Zhou, Yicang 2 2023 Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches. Zbl 1519.92307 Sun, Mengfeng; Fu, Xinchu 2 2023 Nonlinear diffusion in multi-patch logistic model. Zbl 1521.37101 Elbetch, Bilel; Moussaoui, Ali 2 2023 Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth. Zbl 1518.35051 Dey, Subrata; Ghorai, S.; Banerjee, Malay 2 2023 Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanism. Zbl 1521.34060 Patsatzis, Dimitris G.; Goussis, Dimitris A. 2 2023 The impact of household structure on disease-induced herd immunity. Zbl 1530.92205 Ball, Frank; Critcher, Liam; Neal, Peter; Sirl, David 1 2023 A partially averaged system to model neuron responses to interferential current stimulation. Zbl 1508.92095 Cerpa, Eduardo; Courdurier, Matías; Hernández, Esteban; Medina, Leonel E.; Paduro, Esteban 1 2023 Asymptotic behavior of an epidemic model with infinitely many variants. Zbl 1523.34049 Burie, Jean-Baptiste; Ducrot, Arnaud; Griette, Quentin 1 2023 Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment. Zbl 1521.60043 Sinzger-D’Angelo, Mark; Startceva, Sofia; Koeppl, Heinz 1 2023 Strong biological correlations as a cause of autonomous oscillations in epidemics. Zbl 1520.92060 Dimaschko, J.; Shlyakhover, V.; Iabluchanskyi, M. 1 2023 Forward hysteresis and Hopf bifurcation in an NPZD model with application to harmful algal blooms. Zbl 1520.92087 Macdonald, J. C.; Gulbudak, H. 1 2023 Quasi-neutral dynamics in a coinfection system with \(N\) strains and asymmetries along multiple traits. Zbl 1527.37098 Le, Thi Minh Thao; Gjini, Erida; Madec, Sten 1 2023 The role of \(\mathrm{A}\beta\) and tau proteins in Alzheimer’s disease: a mathematical model on graphs. Zbl 1521.92034 Bertsch, Michiel; Franchi, Bruno; Tesi, Maria Carla; Tora, Veronica 1 2023 Parsimony and the rank of a flattening matrix. Zbl 1508.92177 Snyman, Jandre; Fox, Colin; Bryant, David 1 2023 STDP-based associative memory formation and retrieval. Zbl 1508.91454 Yoon, Hong-Gyu; Kim, Pilwon 1 2023 Implications for infectious disease models of heterogeneous mixing on control thresholds. Zbl 1518.92147 Hill, Andrew N.; Glasser, John W.; Feng, Zhilan 1 2023 The speed of invasion in an advancing population. Zbl 1522.92046 Bovier, Anton; Hartung, Lisa 1 2023 A comparison of mutation and amplification-driven resistance mechanisms and their impacts on tumor recurrence. Zbl 1522.92014 Li, Aaron; Kibby, Danika; Foo, Jasmine 1 2023 Stochastic models of regulation of transcription in biological cells. Zbl 1523.92005 Fromion, Vincent; Robert, Philippe; Zaherddine, Jana 1 2023 Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment. Zbl 1530.92230 Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong; Ren, Qiu-Yan 1 2023 ...and 1459 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 29,091 Authors 192 Chen, Lansun 189 Teng, Zhi-dong 127 Jin, Zhen 125 Li, Wan-Tong 123 Jiang, Daqing 121 Ruan, Shigui 113 Wang, Hao 101 Zhao, Xiao-Qiang 94 Tang, Sanyi 91 Winkler, Michael 90 Wu, Jianhong 89 Maini, Philip Kumar 86 Lou, Yuan 84 Chattopadhyay, Joydev 84 Takeuchi, Yasuhiro 81 Xu, Rui 79 Meng, Xinzhu 79 Perthame, Benoît 76 Zou, Xingfu 75 Byrne, Helen Mary 74 Li, Xuezhi 73 Shen, Wenxian 73 Xiao, Yanni 71 Shi, Junping 71 Wang, Wendi 70 Carrillo de la Plata, José Antonio 70 Chaplain, Mark A. J. 70 Song, Xinyu 68 Wang, Jinliang 68 Wang, Zhicheng 68 Wei, Junjie 68 Yuan, Sanling 67 Banerjee, Malay 66 Gumel, Abba B. 65 Kuang, Yang 65 Lewis, Mark Alun 65 Sun, Guiquan 64 Diekmann, Odo 64 Elaiw, Ahmed M. 64 Zhang, Tonghua 63 Yu, Jian-She 62 Martcheva, Maia 62 Thieme, Horst R. 61 Lin, Zhigui 61 Mu, Chunlai 61 Samanta, Guru Prasad 60 Guo, Shangjiang 60 van den Driessche, Pauline 60 Wang, Zhian 59 Lin, Guo 59 Liu, Meng 58 Chen, Yuming 58 Gyllenberg, Mats 57 Ma, Wanbiao 56 Sherratt, Jonathan A. 55 Kang, Yun 55 Qiu, Zhipeng 54 Ha, Seung-Yeal 53 Hayat, Tasawar 53 Wang, Weiming 52 Kuniya, Toshikazu 52 Smith, Hal Leslie 52 Volpert, Vitaly A. 50 Allen, Linda J. S. 50 Feng, Zhilan 50 Lutscher, Frithjof 50 Yuan, Rong 49 Cao, Jinde 49 Cui, Jingan 49 Dai, Binxiang 49 Gao, Shujing 49 Huo, Hai-Feng 49 Simpson, Matthew J. 49 Song, Yongli 49 Venturino, Ezio 49 Wang, Mingxin 49 Wang, Yuanshi 49 Webb, Glenn Francis 49 Zhu, Huaiping 48 Kumar Upadhyay, Ranjit 47 Castillo-Chavez, Carlos 47 Hillen, Thomas 47 Liu, Shengqiang 47 Zhao, Hongyong 46 Du, Yihong 46 Lam, King-Yeung 46 Li, Jia 46 Liu, Qun 46 Liu, Xianning 46 Painter, Kevin J. 46 Stadler, Peter F. 46 Wang, Feng-Bin 45 Yakubu, Abdul-Aziz 44 Bellomo, Nicola 44 Cheke, Robert A. 44 Cosner, Chris 44 Cushing, Jim M. 44 Nie, Linfei 44 Yang, Junyuan 43 Chen, Fengde ...and 28,991 more Authors all top 5 Cited in 925 Journals 1,989 Journal of Mathematical Biology 1,548 Journal of Theoretical Biology 1,221 Mathematical Biosciences 1,176 Bulletin of Mathematical Biology 802 Journal of Mathematical Analysis and Applications 794 Journal of Differential Equations 746 Theoretical Population Biology 744 Applied Mathematics and Computation 656 Nonlinear Analysis. Real World Applications 655 Discrete and Continuous Dynamical Systems. Series B 571 Mathematical Methods in the Applied Sciences 508 Mathematical Biosciences and Engineering 485 Chaos, Solitons and Fractals 422 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 414 Communications in Nonlinear Science and Numerical Simulation 395 Physica D 361 International Journal of Biomathematics 357 Journal of Biological Dynamics 343 Chaos 309 Physica A 278 Computers & Mathematics with Applications 270 Applied Mathematical Modelling 269 Advances in Difference Equations 252 Mathematical and Computer Modelling 246 Mathematics and Computers in Simulation 246 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 242 SIAM Journal on Applied Mathematics 237 Applied Mathematics Letters 237 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 221 Journal of Biological Systems 217 SIAM Journal on Applied Dynamical Systems 214 Journal of Computational and Applied Mathematics 206 Journal of Dynamics and Differential Equations 201 ZAMP. Zeitschrift für angewandte Mathematik und Physik 187 Nonlinear Dynamics 183 Journal of Applied Mathematics and Computing 177 Journal of Difference Equations and Applications 174 Discrete Dynamics in Nature and Society 165 Journal of Computational Physics 157 Discrete and Continuous Dynamical Systems 154 Applicable Analysis 153 Journal of Nonlinear Science 150 Abstract and Applied Analysis 143 Mathematical Modelling of Natural Phenomena 134 Journal of Applied Analysis and Computation 131 Nonlinearity 125 Nonlinear Analysis. Theory, Methods & Applications 123 Biological Cybernetics 120 Acta Applicandae Mathematicae 119 SIAM Journal on Mathematical Analysis 117 Communications on Pure and Applied Analysis 106 Discrete and Continuous Dynamical Systems. Series S 103 Computational and Applied Mathematics 99 European Journal of Applied Mathematics 98 Qualitative Theory of Dynamical Systems 96 Journal of Mathematical Chemistry 90 Journal of the Franklin Institute 89 Journal of Statistical Physics 88 Stochastic Processes and their Applications 87 Neural Computation 86 Differential Equations and Dynamical Systems 85 Computational & Mathematical Methods in Medicine 84 Journal of Applied Mathematics 83 Applied Numerical Mathematics 82 The Annals of Applied Probability 80 Physics Letters. A 79 Boundary Value Problems 77 Journal of Physics A: Mathematical and Theoretical 73 Automatica 71 Journal of Mathematical Physics 70 Complexity 68 Calculus of Variations and Partial Differential Equations 68 Journal of Statistical Mechanics: Theory and Experiment 66 Computer Methods in Applied Mechanics and Engineering 66 Proceedings of the American Mathematical Society 66 Mathematical Population Studies 65 Studies in Applied Mathematics 63 Rocky Mountain Journal of Mathematics 61 Journal of Applied Probability 60 Journal of Scientific Computing 60 Japan Journal of Industrial and Applied Mathematics 60 Mathematical Problems in Engineering 56 Journal de Mathématiques Pures et Appliquées. Neuvième Série 56 Natural Resource Modeling 55 Archive for Rational Mechanics and Analysis 53 Dynamic Games and Applications 52 Acta Mathematicae Applicatae Sinica. English Series 51 Nonlinear Analysis. Hybrid Systems 50 Ricerche di Matematica 50 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 49 Advances in Applied Probability 49 International Journal of Applied and Computational Mathematics 47 Journal of Functional Analysis 47 International Journal of Computer Mathematics 46 Transactions of the American Mathematical Society 46 Networks and Heterogeneous Media 45 Journal of Fluid Mechanics 43 Nonlinear Analysis. Modelling and Control 42 Applied Mathematics and Optimization 42 Journal of Optimization Theory and Applications ...and 825 more Journals all top 5 Cited in 62 Fields 22,510 Biology and other natural sciences (92-XX) 9,151 Partial differential equations (35-XX) 7,783 Ordinary differential equations (34-XX) 3,533 Dynamical systems and ergodic theory (37-XX) 2,889 Probability theory and stochastic processes (60-XX) 2,536 Numerical analysis (65-XX) 1,475 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,309 Systems theory; control (93-XX) 1,072 Calculus of variations and optimal control; optimization (49-XX) 944 Integral equations (45-XX) 778 Difference and functional equations (39-XX) 760 Statistics (62-XX) 694 Operator theory (47-XX) 664 Fluid mechanics (76-XX) 653 Statistical mechanics, structure of matter (82-XX) 601 Combinatorics (05-XX) 507 Computer science (68-XX) 354 Mechanics of deformable solids (74-XX) 309 Operations research, mathematical programming (90-XX) 194 Real functions (26-XX) 171 Classical thermodynamics, heat transfer (80-XX) 165 Linear and multilinear algebra; matrix theory (15-XX) 162 Mechanics of particles and systems (70-XX) 133 Global analysis, analysis on manifolds (58-XX) 121 Information and communication theory, circuits (94-XX) 102 Quantum theory (81-XX) 88 Functional analysis (46-XX) 84 Differential geometry (53-XX) 67 Optics, electromagnetic theory (78-XX) 63 Nonassociative rings and algebras (17-XX) 53 General and overarching topics; collections (00-XX) 47 Measure and integration (28-XX) 45 Approximations and expansions (41-XX) 41 Geophysics (86-XX) 39 History and biography (01-XX) 36 Integral transforms, operational calculus (44-XX) 35 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 32 Manifolds and cell complexes (57-XX) 29 Special functions (33-XX) 29 General topology (54-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Commutative algebra (13-XX) 21 Mathematical logic and foundations (03-XX) 21 Number theory (11-XX) 21 Convex and discrete geometry (52-XX) 17 Functions of a complex variable (30-XX) 15 Algebraic topology (55-XX) 15 Mathematics education (97-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Associative rings and algebras (16-XX) 12 Potential theory (31-XX) 10 Relativity and gravitational theory (83-XX) 9 Topological groups, Lie groups (22-XX) 7 Field theory and polynomials (12-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Sequences, series, summability (40-XX) 6 Geometry (51-XX) 6 Astronomy and astrophysics (85-XX) 5 Abstract harmonic analysis (43-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) Citations by Year