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: 3,526 Publications (since 1974) References Indexed: 2,977 Publications with 103,208 References. all top 5 Latest Issues 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) 73, No. 3 (2016) 73, No. 2 (2016) 73, No. 1 (2016) 72, No. 7 (2016) 72, No. 6 (2016) 72, No. 5 (2016) 72, No. 4 (2016) 72, No. 3 (2016) 72, No. 1-2 (2016) 71, No. 6-7 (2015) 71, No. 5 (2015) ...and 312 more Volumes all top 5 Authors 31 Maini, Philip Kumar 29 Diekmann, Odo 29 Metz, Johan A. Jacob 28 van den Driessche, Pauline 26 Byrne, Helen Mary 24 Gyllenberg, Mats 24 Lewis, Mark Alun 21 King, John Robert 21 Mackey, Michael Charles 21 Othmer, Hans G. 20 Smith, Hal Leslie 19 Thieme, Horst R. 19 Wang, Hao 18 Cushing, Jim M. 18 Ruan, Shigui 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 Moulton, Vincent L. 14 Wolkowicz, Gail S. K. 13 Cosner, Chris 13 Gourley, Stephen A. 13 Griffiths, Robert C. 13 Hsu, Szebi 13 Keener, James P. 13 Liberman, Uri 13 Lou, Yuan 13 Perelson, Alan S. 13 Sherratt, Jonathan A. 13 Steel, Michael Anthony 12 Broom, Mark 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. 11 Ermentrout, George Bard 11 Kuang, Yang 11 Méléard, Sylvie 11 Pugliese, Andrea 11 Semple, Charles 10 Baake, Ellen 10 Bürger, Reinhard 10 Cantrell, Robert Stephen 10 Feng, Zhilan 10 Hening, Alexandru 10 Notohara, Morihiro 10 Oster, George F. 10 Shi, Junping 10 Sleeman, Brian David 10 Webb, Glenn Francis 10 Weinberger, Hans Felix 10 Zhao, Xiao-Qiang 9 Ball, Frank G. 9 Cressman, Ross 9 Dieckmann, Ulf 9 Jin, Zhen 9 Kisdi, Éva 9 Kiss, István Z. 9 Lui, Roger 9 Roberts, Michael George 9 Wu, Jianhong 9 Zou, Xingfu 8 Alt, Wolfgang 8 Castillo-Chavez, Carlos 8 Clote, Peter G. 8 Cooke, Kenneth L. 8 De Leenheer, Patrick 8 Friedman, Avner 8 Hallam, Thomas G. 8 Heesterbeek, J. A. P. 8 Lam, King-Yeung 8 Ma, Junling 8 Preziosi, Luigi 8 Sumner, Jeremy G. 8 Tuljapurkar, Shripad D. 8 Vermolen, Fred J. 7 Allen, Linda J. S. 7 Banks, Harvey Thomas 7 Beretta, Edoardo 7 Brauer, Fred 7 Busenberg, Stavros N. 7 Calsina, Àngel 7 Capasso, Vincenzo 7 de Roos, André M. 7 Dietz, Klaus 7 Edwards, David Alan 7 Ermentrout, Bard G. 7 Eshel, Ilan ...and 4,933 more Authors all top 5 Fields 3,436 Biology and other natural sciences (92-XX) 757 Partial differential equations (35-XX) 746 Ordinary differential equations (34-XX) 637 Probability theory and stochastic processes (60-XX) 412 Dynamical systems and ergodic theory (37-XX) 274 Numerical analysis (65-XX) 174 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 165 Combinatorics (05-XX) 150 Systems theory; control (93-XX) 136 Statistics (62-XX) 125 Integral equations (45-XX) 101 Difference and functional equations (39-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 59 Fluid mechanics (76-XX) 57 Operator theory (47-XX) 56 Operations research, mathematical programming (90-XX) 45 Statistical mechanics, structure of matter (82-XX) 42 Mechanics of deformable solids (74-XX) 41 Computer science (68-XX) 35 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 Functional analysis (46-XX) 9 Real functions (26-XX) 9 Approximations and expansions (41-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) 8 Optics, electromagnetic theory (78-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-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) 2 Mathematics education (97-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,885 Publications have been cited 48,864 times in 26,712 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. 1,431 1990 A user’s guide to PDE models for chemotaxis. Zbl 1161.92003 Hillen, T.; Painter, K. J. 890 2009 Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023 Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh 391 1986 Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039 Thieme, Horst R. 363 1992 Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014 Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A. 332 1987 Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032 Kuang, Yang; Beretta, Edoardo 317 1998 Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012 Kirschner, Denise; Panetta, John Carl 288 1998 The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013 Dieckmann, Ulf; Law, Richard 279 1996 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036 Weinberger, Hans F. 265 2002 Models of dispersal in biological systems. Zbl 0713.92018 Othmer, Hans G.; Dunbar, S. R.; Alt, W. 253 1988 The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021 Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark 234 1998 The evolution of dispersal. Zbl 1052.92042 Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T. 231 2003 The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056 Bacaër, Nicolas; Guernaoui, Souad 222 2006 A non-local model for a swarm. Zbl 0940.92032 Mogilner, Alexander; Edelstein-Keshet, Leah 218 1999 Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020 Diekmann, O. 216 1978 Predator-prey populations with parasitic infection. Zbl 0716.92021 Hadeler, K. P.; Freedman, H. I. 213 1989 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040 Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 209 2002 Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035 Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 207 2001 Local vs. non-local interactions in population dynamics. Zbl 0714.92012 Furter, J.; Grinfeld, M. 201 1989 Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033 Tang, Sanyi; Chen, Lansun 196 2002 A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057 Lou, Yijun; Zhao, Xiao-Qiang 195 2011 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031 Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 183 2002 Some epidemiological models with nonlinear incidence. Zbl 0722.92015 Hethcote, H. W.; van den Driessche, P. 177 1991 A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043 Gourley, Stephen A.; Kuang, Yang 172 2004 Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012 Mena-Lorca, Jaime; Hethcote, Herbert W. 171 1992 A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011 Culshaw, Rebecca V.; Webb, Glenn 169 2003 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047 Berestycki, Henri; Hamel, François; Roques, Lionel 166 2005 Optimal control of the chemotherapy of HIV. Zbl 0876.92016 Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve 160 1997 Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031 Xiao, Dongmei; Ruan, Shigui 159 2001 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016 Cooke, K.; van den Driessche, P.; Zou, X. 158 1999 Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022 Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos 157 1998 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019 Beretta, Edoardo; Takeuchi, Yasuhiro 157 1995 Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018 Friedman, Avner; Reitich, Fernando 157 1999 Predator-prey system with strong Allee effect in prey. Zbl 1232.92076 Wang, Jinfeng; Shi, Junping; Wei, Junjie 155 2011 Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025 Feng, Zhilan; Velasco-Hernández, Jorge X. 153 1997 The dynamics of density dependent population models. Zbl 0379.92016 Guckenheimer, J.; Oster, G.; Ipaktchi, A. 153 1977 Modelling the fear effect in predator-prey interactions. Zbl 1358.34058 Wang, Xiaoying; Zanette, Liana; Zou, Xingfu 153 2016 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019 Cooke, K. L.; van den Driessche, P. 150 1996 A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029 van den Driessche, P.; Watmough, James 147 2000 State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067 Tang, Sanyi; Cheke, Robert A. 146 2005 A simplified neuron model as a principal component analyzer. Zbl 0488.92012 Oja, Erkki 144 1982 Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001 Alt, Wolfgang 138 1980 Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024 Dunbar, Steven R. 136 1983 Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019 Hallam, T. G.; Clark, C. E.; Jordan, G. S. 130 1983 Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009 Hadeler, K. P.; Rothe, F. 125 1975 Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021 Busenberg, S.; van den Driessche, P. 124 1990 To treat or not to treat: The case of tuberculosis. Zbl 0895.92024 Castillo-Chavez, Carlos; Feng, Zhilan 122 1997 A competitive exclusion principle for pathogen virulence. Zbl 0715.92027 Bremermann, H. J.; Thieme, H. R. 121 1989 A selection-migration model in population genetics. Zbl 0325.92009 Fleming, W. H. 119 1975 Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050 Stinner, C.; Tello, J. I.; Winkler, M. 118 2014 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. 118 2009 SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036 Volz, Erik 118 2008 Predator-prey models with delay and prey harvesting. Zbl 1008.34066 Martin, Annik; Ruan, Shigui 117 2001 Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028 Gourley, S. A. 116 2000 Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006 Ruuth, Steven J. 115 1995 Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015 De Mottoni, Piero; Schiaffino, Andrea 114 1981 Chaos in three species food chains. Zbl 0823.92030 Klebanoff, Aaron; Hastings, Alan 113 1994 Competition for fluctuating nutrient. Zbl 0525.92024 Hale, J. K.; Somolinos, A. S. 111 1983 The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018 Cantrell, R. S.; Cosner, C. 111 1991 Evolution of dispersal in open advective environments. Zbl 1307.35144 Lou, Yuan; Lutscher, Frithjof 111 2014 Geometric singular perturbation theory in biological practice. Zbl 1311.34133 Hek, Geertje 111 2010 On the stability of the cell size distribution. Zbl 0543.92021 Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 104 1984 The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035 Hutson, V.; Mischaikow, K.; Poláčik, P. 104 2001 Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125 Freedman, H. I.; Shukla, J. B. 103 1991 Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010 Mimura, Masayasu; Kawasaki, Kohkichi 102 1980 Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019 Hofbauer, J.; Hutson, V.; Jansen, W. 101 1987 Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067 Liu, Meng; Bai, Chuanzhi 101 2016 Nonlinear simulation of tumor growth. Zbl 1023.92013 Cristini, Vittorio; Lowengrub, John; Nie, Qing 100 2003 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. 100 1981 A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018 Gourley, S. A.; Britton, N. F. 98 1996 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. 98 2001 Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009 Herrero, Miguel A.; Velázquez, Juan J. L. 98 1996 A delay differential equation model for tumor growth. Zbl 1023.92014 Villasana, Minaya; Radunskaya, Ami 96 2003 Isochrons and phaseless sets. Zbl 0345.92001 Guckenheimer, J. 96 1975 A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013 Cohen, Donald S.; Murray, James D. 95 1981 The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021 Collings, John B. 95 1997 Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020 Schwartz, Ira B.; Smith, H. L. 93 1983 Persistence in population models with demographic fluctuations. Zbl 0606.92022 Hallam, Thomas G.; Zhien, Ma 93 1986 Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122 Beltrami, Edward; Carroll, T. O. 93 1994 Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043 Berezovskaya, F.; Karev, G.; Arditi, R. 93 2001 On the differential equations of species in competition. Zbl 0344.92009 Smale, S. 92 1976 Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053 Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A. 92 2003 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. 90 1989 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014 Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 90 2005 Spatial patterning of the spruce budworm. Zbl 0412.92020 Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 90 1979 On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023 Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R. 89 1998 Persistence in fluctuating environments. Zbl 1232.92075 Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S. 89 2011 Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019 Inaba, H. 89 1990 Disease transmission models with density-dependent demographics. Zbl 0774.92018 Gao, Linda Q.; Hethcote, Herbert W. 89 1992 Two species competition in a periodic environment. Zbl 0455.92012 Cushing, J. M. 89 1980 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046 Martcheva, Maia; Thieme, Horst R. 88 2003 Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055 Shi, Junping; Shivaji, Ratnasingham 88 2006 Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026 Huang, Jianhua; Lu, Gang; Ruan, Shigui 88 2003 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. 87 2001 Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017 Brokate, Martin 87 1985 Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004 Ermentrout, G. B.; Kopell, N. 86 1991 Optimal HIV treatment by maximising immune response. Zbl 1057.92035 Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J. 86 2004 A model for the spatial spread of an epidemic. Zbl 0373.92031 Thieme, H. R. 84 1977 Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028 Imhof, Lorens A.; Nowak, Martin A. 83 2006 The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023 Andreasen, Viggo; Lin, Juan; Levin, Simon A. 83 1997 A mathematical model for axonal transport of large cargo vesicles. Zbl 07782540 Rahman, Nizhum; Oelz, Dietmar B. 1 2024 Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping. Zbl 1512.35004 Wang, Hao; Salmaniw, Yurij 8 2023 Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment. Zbl 1509.35327 Zhao, Hongyong; Wang, Kai; Wang, Hao 5 2023 A West Nile virus nonlocal model with free boundaries and seasonal succession. Zbl 1506.35283 Pu, Liqiong; Lin, Zhigui; Lou, Yuan 4 2023 Perceptive movement of susceptible individuals with memory. Zbl 1512.92131 Zhang, Hua; Wang, Hao; Wei, Junjie 4 2023 Identifiability of local and global features of phylogenetic networks from average distances. Zbl 1505.92143 Xu, Jingcheng; Ané, Cécile 3 2023 General conditions for Turing and wave instabilities in reaction-diffusion systems. Zbl 1509.35133 Villar-Sepúlveda, Edgardo; Champneys, Alan R. 3 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. 2 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 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 1 2023 Semigroup models for biochemical reaction networks. Zbl 1516.92137 Loutchko, Dimitri 1 2023 A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035 Fralix, Brian; Holmes, Mark; Löpker, Andreas 1 2023 Novel spatial profiles of some diffusive SIS epidemic models. Zbl 07770164 Peng, Rui; Wang, Zhi-An; Zhang, Guanghui; Zhou, Maolin 1 2023 On inverse problems for several coupled PDE systems arising in mathematical biology. Zbl 07782537 Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui 1 2023 Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives. Zbl 1525.34077 Ruan, Shigui; Xiao, Dongmei 1 2023 Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States. Zbl 1527.92068 Vo, MyVan; Feng, Zhilan; Glasser, John W.; Clarke, Kristie E. N.; Jones, Jefferson N. 1 2023 Unifying incidence and prevalence under a time-varying general branching process. Zbl 1519.92292 Pakkanen, Mikko S.; Miscouridou, Xenia; Penn, Matthew J.; Whittaker, Charles; Berah, Tresnia; Mishra, Swapnil; Mellan, Thomas A.; Bhatt, Samir 1 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. 1 2023 Strong biological correlations as a cause of autonomous oscillations in epidemics. Zbl 1520.92060 Dimaschko, J.; Shlyakhover, V.; Iabluchanskyi, M. 1 2023 Impact of population size and movement on the persistence of a two-strain infectious disease. Zbl 1511.92088 Salako, Rachidi B. 1 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. 1 2023 Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation. Zbl 1505.92254 Eigentler, L.; Sherratt, J. A. 1 2023 Population dynamics with resource-dependent dispersal: single- and two-species models. Zbl 1506.35115 Tang, De; Wang, Zhi-An 1 2023 Optimal vaccination: various (counter) intuitive examples. Zbl 1506.92055 Delmas, Jean-François; Dronnier, Dylan; Zitt, Pierre-André 1 2023 Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity. Zbl 1504.92094 Barendregt, Nicholas W.; Thomas, Peter J. 1 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 1 2023 The arithmetic topology of genetic alignments. Zbl 1507.92067 Barrett, Christopher; Bura, Andrei; He, Qijun; Huang, Fenix; Reidys, Christian 1 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. 1 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 1 2023 Effects of dispersal rates in a two-stage reaction-diffusion system. Zbl 1505.92149 Cantrell, R. S.; Cosner, C.; Salako, R. B. 1 2023 Accessibility percolation on Cartesian power graphs. Zbl 1515.92043 Schmiegelt, Benjamin; Krug, Joachim 1 2023 Relative prevalence-based dispersal in an epidemic patch model. Zbl 1508.92280 Lu, Min; Gao, Daozhou; Huang, Jicai; Wang, Hao 1 2023 STDP-based associative memory formation and retrieval. Zbl 1508.91454 Yoon, Hong-Gyu; Kim, Pilwon 1 2023 Epidemic modeling with heterogeneity and social diffusion. Zbl 1511.92069 Berestycki, Henri; Desjardins, Benoît; Weitz, Joshua S.; Oury, Jean-Marc 1 2023 An SIR model with viral load-dependent transmission. Zbl 1512.35589 Della Marca, Rossella; Loy, Nadia; Tosin, Andrea 1 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 1 2023 Ancestral reproductive bias in branching processes. Zbl 1511.60121 Cheek, David; Johnston, Samuel G. G. 1 2023 Inference on autoregulation in gene expression with variance-to-mean ratio. Zbl 1514.92067 Wang, Yue; He, Siqi 1 2023 Hybrid discrete-time-continuous-time models and a SARS CoV-2 mystery: sub-Saharan Africa’s low SARS CoV-2 disease burden. Zbl 1514.92163 Siewe, Nourridine; Yakubu, Abdul-Aziz 1 2023 Nonlinear diffusion in multi-patch logistic model. Zbl 1521.37101 Elbetch, Bilel; Moussaoui, Ali 1 2023 Cannibalistic enemy-pest model: effect of additional food and harvesting. Zbl 1522.92088 Tripathi, Jai Prakash; Tripathi, Deepak; Mandal, Swarnendu; Shrimali, Manish Dev 1 2023 A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 1489.34120 Yu, Jianshe; Li, Jia 17 2022 Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment. Zbl 1483.92115 Wang, Cuihua; Yuan, Sanling; Wang, Hao 16 2022 Global dynamics of a generalist predator-prey model in open advective environments. Zbl 1487.35059 Lou, Yuan; Nie, Hua 9 2022 On the global attractivity for a reaction-diffusion malaria model with incubation period in the vector population. Zbl 1489.92188 Zhang, Ran; Wang, Jinliang 9 2022 Impact of releasing period and magnitude on mosquito population in a sterile release model with delay. Zbl 1503.34158 Zheng, Bo 9 2022 A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change. Zbl 1492.35383 Wang, Xueying; Wu, Ruiwen; Zhao, Xiao-Qiang 6 2022 Bifurcation analysis of the predator-prey model with the Allee effect in the predator. Zbl 1489.34075 Sen, Deeptajyoti; Ghorai, Saktipada; Banerjee, Malay; Morozov, Andrew 6 2022 Classes of explicit phylogenetic networks and their biological and mathematical significance. Zbl 1491.92088 Kong, Sungsik; Pons, Joan Carles; Kubatko, Laura; Wicke, Kristina 5 2022 Herd immunity under individual variation and reinfection. Zbl 1496.92120 Montalbán, Antonio; Corder, Rodrigo M.; Gomes, M. Gabriela M. 5 2022 Efficiency functionals for the Lévy flight foraging hypothesis. Zbl 1498.92298 Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico 5 2022 Foundations of static and dynamic absolute concentration robustness. Zbl 1498.92081 Joshi, Badal; Craciun, Gheorghe 5 2022 Long-time behavior of a PDE replicator equation for multilevel selection in group-structured populations. Zbl 1497.92175 Cooney, Daniel B.; Mori, Yoichiro 4 2022 An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. Zbl 1498.92242 Pan, Qin; Huang, Jicai; Wang, Hao 4 2022 Operon dynamics with state dependent transcription and/or translation delays. Zbl 1480.92074 Gedeon, Tomáš; Humphries, Antony R.; Mackey, Michael C.; Walther, Hans-Otto; Wang, Zhao 3 2022 Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic. Zbl 1487.92043 Hubert, Emma; Mastrolia, Thibaut; Possamaï, Dylan; Warin, Xavier 3 2022 Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. Zbl 1497.92302 Song, Pengfei; Xiao, Yanni 3 2022 Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. Zbl 1501.35050 Giunta, Valeria; Hillen, Thomas; Lewis, Mark A.; Potts, Jonathan R. 3 2022 Wave speed and critical patch size for integro-difference equations with a strong Allee effect. Zbl 1504.92171 Li, Bingtuan; Otto, Garrett 3 2022 Bifurcation analysis for a single population model with advection. Zbl 1501.35044 Zhang, Hua; Wei, Junjie 3 2022 Identifiability of species network topologies from genomic sequences using the logDet distance. Zbl 1486.92128 Allman, Elizabeth S.; Baños, Hector; Rhodes, John A. 3 2022 The dynamics of sexually transmitted diseases with men who have sex with men. Zbl 1486.34105 Zhang, Juping; Hao, Wenhui; Jin, Zhen 2 2022 A new algebraic approach to genome rearrangement models. Zbl 1491.92085 Terauds, Venta; Sumner, Jeremy 2 2022 Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. Zbl 1496.92041 Arino, Julien; Milliken, Evan 2 2022 Analysis of the onset of a regime shift and detecting early warning signs of major population changes in a two-trophic three-species predator-prey model with long-term transients. Zbl 1500.92094 Sadhu, Susmita 2 2022 Noise-driven bifurcations in a neural field system modelling networks of grid cells. Zbl 1500.92004 Carrillo, José A.; Holden, Helge; Solem, Susanne 2 2022 From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics. Zbl 1501.35410 Foutel-Rodier, Félix; Blanquart, François; Courau, Philibert; Czuppon, Peter; Duchamps, Jean-Jil; Gamblin, Jasmine; Kerdoncuff, Élise; Kulathinal, Rob; Régnier, Léo; Vuduc, Laura; Lambert, Amaury; Schertzer, Emmanuel 2 2022 Spatial dynamics of a vegetation model with uptake-diffusion feedback in an arid environment. Zbl 1501.35417 Sun, Gui-Quan; Hou, Li-Feng; Li, Li; Jin, Zhen; Wang, Hao 2 2022 The influence of a transport process on the epidemic threshold. Zbl 1504.92141 Kuehn, Christian; Mölter, Jan 2 2022 An epidemic model with short-lived mixing groups. Zbl 1504.92113 Ball, Frank; Neal, Peter 2 2022 Strong stochastic persistence of some Lévy-driven Lotka-Volterra systems. Zbl 1483.60098 Videla, Leonardo 2 2022 Structural identifiability analysis of age-structured PDE epidemic models. Zbl 1514.35443 Renardy, Marissa; Kirschner, Denise; Eisenberg, Marisa 2 2022 Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation. Zbl 1483.92058 Busse, Jan-Erik; Cuadrado, Sílvia; Marciniak-Czochra, Anna 2 2022 Ancestral state reconstruction with large numbers of sequences and edge-length estimation. Zbl 1493.92039 Ho, Lam Si Tung; Susko, Edward 2 2022 Population dynamics under climate change: persistence criterion and effects of fluctuations. Zbl 1486.92185 Shen, Wenxian; Shen, Zhongwei; Xue, Shuwen; Zhou, Dun 2 2022 A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes. Zbl 1478.92176 Baccelli, François; Ramesan, Nithin 1 2022 Vectorial crystallization problems and collective behavior. Zbl 1483.74004 De Luca, L.; Ninno, A.; Ponsiglione, M. 1 2022 A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements. Zbl 1498.92130 Dasarathy, Gautam; Mossel, Elchanan; Nowak, Robert; Roch, Sebastien 1 2022 On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals. Zbl 1490.92004 Alfaro, Matthieu; Giletti, Thomas; Kim, Yong-Jung; Peltier, Gwenaël; Seo, Hyowon 1 2022 Population growth and competition models with decay and competition consistent delay. Zbl 1492.92062 Lin, Chiu-Ju; Hsu, Ting-Hao; Wolkowicz, Gail S. K. 1 2022 The effects of random and seasonal environmental fluctuations on optimal harvesting and stocking. Zbl 1490.92126 Hening, Alexandru; Ky Quan Tran; Ungureanu, Sergiu C. 1 2022 The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study. Zbl 1502.37093 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 1 2022 Stochastic dynamics of an SIS epidemic on networks. Zbl 1491.92113 Jing, Xiaojie; Liu, Guirong; Jin, Zhen 1 2022 Enumeration of binary trees compatible with a perfect phylogeny. Zbl 1489.05073 Palacios, Julia A.; Bhaskar, Anand; Disanto, Filippo; Rosenberg, Noah A. 1 2022 Relating Eulerian and Lagrangian spatial models for vector-host disease dynamics through a fundamental matrix. Zbl 1493.92082 Vargas Bernal, Esteban; Saucedo, Omar; Tien, Joseph Hua 1 2022 A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations. Zbl 1496.92015 Darrigade, Léo; Haghebaert, Marie; Cherbuy, Claire; Labarthe, Simon; Laroche, Beatrice 1 2022 Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model. Zbl 1515.37105 Ji, Juping; Lin, Genghong; Wang, Lin; Mai, Ali 1 2022 Tumor growth towards lower extracellular matrix conductivity regions under Darcy’s law and steady morphology. Zbl 1496.92014 Zheng, Xiaoming; Zhao, Kun; Jackson, Trachette; Lowengrub, John 1 2022 Feasibility of sparse large Lotka-Volterra ecosystems. Zbl 1508.92320 Akjouj, Imane; Najim, Jamal 1 2022 The structure of the genetic code as an optimal graph clustering problem. Zbl 1497.92171 Błażej, Paweł; Kowalski, Dariusz R.; Mackiewicz, Dorota; Wnetrzak, Małgorzata; Aloqalaa, Daniyah A.; Mackiewicz, Paweł 1 2022 Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species. Zbl 1497.92181 Scaramangas, Alan; Broom, Mark 1 2022 Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality. Zbl 1497.92183 Yang, Yantao; Ma, Chaojing; Zu, Jian 1 2022 Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour. Zbl 1495.35146 Degond, Pierre; Hecht, Sophie; Romanos, Michèle; Trescases, Ariane 1 2022 The large-sample asymptotic behaviour of quartet-based summary methods for species tree inference. Zbl 1519.92142 Chan, Yao-ban; Li, Qiuyi; Scornavacca, Celine 1 2022 Dispersal-induced growth in a time-periodic environment. Zbl 1521.92070 Katriel, Guy 1 2022 An aggregation model of cockroaches with fast-or-slow motion dichotomy. Zbl 1498.92319 Eliaš, Ján; Izuhara, Hirofumi; Mimura, Masayasu; Tang, Bao Q. 1 2022 The hybrid number of a ploidy profile. Zbl 1498.92133 Huber, K. T.; Maher, L. J. 1 2022 On the qualitative study of a two-trophic plant-herbivore model. Zbl 1498.92303 Khan, Muhammad Salman; Samreen, Maria; Ozair, Muhammad; Hussain, Takasar; Elsayed, E. M.; Gómez-Aguilar, J. F. 1 2022 Operating diagrams for a three-tiered microbial food web in the chemostat. Zbl 1506.34066 Nouaoura, Sarra; Fekih-Salem, Radhouane; Abdellatif, Nahla; Sari, Tewfik 1 2022 A group theoretic approach to model comparison with simplicial representations. Zbl 1501.92036 Vittadello, Sean T.; Stumpf, Michael P. H. 1 2022 ...and 1432 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 26,282 Authors 186 Chen, Lansun 176 Teng, Zhi-dong 116 Jin, Zhen 116 Li, Wan-Tong 114 Ruan, Shigui 107 Jiang, Daqing 100 Zhao, Xiao-Qiang 85 Tang, Sanyi 84 Wang, Hao 84 Wu, Jianhong 83 Lou, Yuan 82 Maini, Philip Kumar 82 Winkler, Michael 79 Chattopadhyay, Joydev 78 Takeuchi, Yasuhiro 78 Xu, Rui 77 Perthame, Benoît 75 Meng, Xinzhu 74 Byrne, Helen Mary 71 Shi, Junping 70 Li, Xuezhi 70 Shen, Wenxian 69 Zou, Xingfu 68 Chaplain, Mark A. 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