Journal of Mathematical Biology Short Title: J. Math. Biol. Publisher: Springer, Berlin/Heidelberg ISSN: 0303-6812; 1432-1416/e Online: http://link.springer.com/journal/volumesAndIssues/285 Comments: Indexed cover-to-cover Documents Indexed: 3,121 Publications (since 1974) References Indexed: 2,575 Publications with 84,876 References. all top 5 Latest Issues 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) 71, No. 4 (2015) 71, No. 3 (2015) 71, No. 2 (2015) 71, No. 1 (2015) 70, No. 7 (2015) 70, No. 6 (2015) 70, No. 5 (2015) 70, No. 4 (2015) 70, No. 3 (2015) 70, No. 1-2 (2015) 69, No. 6-7 (2014) 69, No. 5 (2014) 69, No. 4 (2014) 69, No. 3 (2014) 69, No. 2 (2014) 69, No. 1 (2014) 68, No. 7 (2014) 68, No. 6 (2014) 68, No. 5 (2014) 68, No. 4 (2014) 68, No. 3 (2014) 68, No. 1-2 (2014) 67, No. 6-7 (2013) 67, No. 5 (2013) 67, No. 4 (2013) 67, No. 3 (2013) 67, No. 2 (2013) 67, No. 1 (2013) 66, No. 7 (2013) 66, No. 6 (2013) ...and 282 more Volumes all top 5 Authors 30 Maini, Philip Kumar 29 Metz, Johan A. Jacob 28 Diekmann, Odo 27 van den Driessche, Pauline 25 Byrne, Helen Mary 24 Gyllenberg, Mats 23 Lewis, Mark Alun 21 King, John Robert 20 Mackey, Michael Charles 20 Smith, Hal Leslie 19 Othmer, Hans G. 19 Thieme, Horst R. 18 Cushing, Jim M. 17 Hadeler, Karl-Peter 17 Stadler, Peter F. 16 Levin, Simon Asher 16 Nagylaki, Thomas 16 Ruan, Shigui 15 Bacaër, Nicolas 15 Murray, James Dickson 13 Chaplain, Mark A. J. 13 Edelstein-Keshet, Leah 13 Gourley, Stephen A. 13 Hillen, Thomas 13 Hsu, Szebi 13 Huber, Katharina T. 13 Keener, James P. 13 Liberman, Uri 13 Lutscher, Frithjof 13 Moulton, Vincent L. 13 Perelson, Alan S. 13 Wolkowicz, Gail S. K. 12 Geritz, Stefan A. H. 12 Griffiths, Robert C. 12 Hellmuth, Marc 12 Hethcote, Herbert W. 12 Sherratt, Jonathan A. 11 Broom, Mark 11 Cosner, Chris 11 Hastings, Alan 11 Hofbauer, Josef 11 Lessard, Sabin 11 Méléard, Sylvie 11 Mimura, Masayasu 11 Schreiber, Sebastian J. 11 Steel, Michael Anthony 10 Bürger, Reinhard 10 Li, Bingtuan 10 Notohara, Morihiro 10 Oster, George F. 10 Shi, Junping 10 Sleeman, Brian D. 10 Weinberger, Hans Felix 9 Baake, Ellen 9 Cressman, Ross 9 Dieckmann, Ulf 9 Hening, Alexandru 9 Kisdi, Éva 9 Kuang, Yang 9 Lou, Yuan 9 Lui, Roger 9 Pugliese, Andrea 9 Roberts, Michael George 9 Semple, Charles 9 Webb, Glenn Francis 9 Zhao, Xiao-Qiang 9 Zou, Xingfu 8 Alt, Wolfgang 8 Cantrell, Robert Stephen 8 Castillo-Chavez, Carlos 8 Clote, Peter G. 8 Cooke, Kenneth L. 8 De Leenheer, Patrick 8 Hallam, Thomas G. 8 Heesterbeek, J. A. P. 8 Kiss, István Z. 8 Painter, Kevin J. 8 Preziosi, Luigi 8 Tuljapurkar, Shripad D. 7 Allen, Linda J. S. 7 Ball, Frank G. 7 Banks, Harvey Thomas 7 Beretta, Edoardo 7 Brauer, Fred 7 Busenberg, Stavros N. 7 Calsina, Àngel 7 de Roos, André M. 7 Dietz, Klaus 7 Edwards, David Alan 7 Ermentrout, Bard G. 7 Eshel, Ilan 7 Feldman, Marcus W. 7 Feng, Zhilan 7 Friedman, Avner 7 House, Thomas 7 Karlin, Samuel 7 Ma, Junling 7 Rinzel, John 7 Sumner, Jeremy G. 7 Waltman, Paul Elvis ...and 4,152 more Authors all top 5 Fields 3,044 Biology and other natural sciences (92-XX) 650 Ordinary differential equations (34-XX) 644 Partial differential equations (35-XX) 563 Probability theory and stochastic processes (60-XX) 370 Dynamical systems and ergodic theory (37-XX) 246 Numerical analysis (65-XX) 154 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 141 Combinatorics (05-XX) 137 Systems theory; control (93-XX) 118 Statistics (62-XX) 115 Integral equations (45-XX) 95 Difference and functional equations (39-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 54 Operator theory (47-XX) 54 Operations research, mathematical programming (90-XX) 53 Fluid mechanics (76-XX) 40 Statistical mechanics, structure of matter (82-XX) 38 Computer science (68-XX) 36 Mechanics of deformable solids (74-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 19 Information and communication theory, circuits (94-XX) 18 Nonassociative rings and algebras (17-XX) 18 Classical thermodynamics, heat transfer (80-XX) 10 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 8 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Approximations and expansions (41-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 7 Manifolds and cell complexes (57-XX) 7 Optics, electromagnetic theory (78-XX) 6 General topology (54-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-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 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,549 Publications have been cited 37,757 times in 20,626 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 0726.92018Diekmann, O.; Heesterbeek, J. A. P.; Metz, J. A. J. 979 1990 A user’s guide to PDE models for chemotaxis. Zbl 1161.92003Hillen, T.; Painter, K. J. 614 2009 Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh 281 1986 Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032Kuang, Yang; Beretta, Edoardo 277 1998 Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039Thieme, Horst R. 272 1992 Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A. 263 1987 The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013Dieckmann, Ulf; Law, Richard 238 1996 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036Weinberger, Hans F. 205 2002 Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012Kirschner, Denise; Panetta, John Carl 205 1998 Models of dispersal in biological systems. Zbl 0713.92018Othmer, Hans G.; Dunbar, S. R.; Alt, W. 203 1988 Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033Tang, Sanyi; Chen, Lansun 183 2002 Predator-prey populations with parasitic infection. Zbl 0716.92021Hadeler, K. P.; Freedman, H. I. 175 1989 Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 172 2001 A non-local model for a swarm. Zbl 0940.92032Mogilner, Alexander; Edelstein-Keshet, Leah 171 1999 The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056Bacaër, Nicolas; Guernaoui, Souad 169 2006 The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark 168 1998 Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020Diekmann, O. 167 1978 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 161 2002 The evolution of dispersal. Zbl 1052.92042Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T. 160 2003 The dynamics of density dependent population models. Zbl 0379.92016Guckenheimer, J.; Oster, G.; Ipaktchi, A. 147 1977 Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012Mena-Lorca, Jaime; Hethcote, Herbert W. 140 1992 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 139 2002 A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043Gourley, Stephen A.; Kuang, Yang 135 2004 Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031Xiao, Dongmei; Ruan, Shigui 133 2001 Some epidemiological models with nonlinear incidence. Zbl 0722.92015Hethcote, H. W.; van den Driessche, P. 132 1991 Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos 131 1998 Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018Friedman, Avner; Reitich, Fernando 131 1999 Local vs. non-local interactions in population dynamics. Zbl 0714.92012Furter, J.; Grinfeld, M. 131 1989 Optimal control of the chemotherapy of HIV. Zbl 0876.92016Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve 130 1997 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047Berestycki, Henri; Hamel, François; Roques, Lionel 129 2005 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016Cooke, K.; van den Driessche, P.; Zou, X. 126 1999 A simplified neuron model as a principal component analyzer. Zbl 0488.92012Oja, Erkki 121 1982 A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011Culshaw, Rebecca V.; Webb, Glenn 120 2003 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019Cooke, K. L.; van den Driessche, P. 118 1996 Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025Feng, Zhilan; Velasco-Hernández, Jorge X. 117 1997 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019Beretta, Edoardo; Takeuchi, Yasuhiro 116 1995 Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001Alt, Wolfgang 116 1980 State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067Tang, Sanyi; Cheke, Robert A. 116 2005 A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029van den Driessche, P.; Watmough, James 113 2000 Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021Busenberg, S.; van den Driessche, P. 112 1990 To treat or not to treat: The case of tuberculosis. Zbl 0895.92024Castillo-Chavez, Carlos; Feng, Zhilan 107 1997 Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015De Mottoni, Piero; Schiaffino, Andrea 107 1981 Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024Dunbar, Steven R. 107 1983 Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019Hallam, T. G.; Clark, C. E.; Jordan, G. S. 104 1983 Predator-prey system with strong Allee effect in prey. Zbl 1232.92076Wang, Jinfeng; Shi, Junping; Wei, Junjie 103 2011 A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057Lou, Yijun; Zhao, Xiao-Qiang 103 2011 Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028Gourley, S. A. 103 2000 Competition for fluctuating nutrient. Zbl 0525.92024Hale, J. K.; Somolinos, A. S. 103 1983 A competitive exclusion principle for pathogen virulence. Zbl 0715.92027Bremermann, H. J.; Thieme, H. R. 100 1989 A selection-migration model in population genetics. Zbl 0325.92009Fleming, W. H. 98 1975 Chaos in three species food chains. Zbl 0823.92030Klebanoff, Aaron; Hastings, Alan 95 1994 Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009Hadeler, K. P.; Rothe, F. 94 1975 On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory. Zbl 1028.92019Diekmann, O.; Gyllenberg, M.; Huang, H.; Kirkilionis, M.; Metz, J. A. J. 90 2001 Predator-prey models with delay and prey harvesting. Zbl 1008.34066Martin, Annik; Ruan, Shigui 90 2001 On the stability of the cell size distribution. Zbl 0543.92021Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 90 1984 Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019Hofbauer, J.; Hutson, V.; Jansen, W. 88 1987 Nonlinear simulation of tumor growth. Zbl 1023.92013Cristini, Vittorio; Lowengrub, John; Nie, Qing 87 2003 Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009Herrero, Miguel A.; Velázquez, Juan J. L. 86 1996 The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018Cantrell, R. S.; Cosner, C. 85 1991 Disease transmission models with density-dependent demographics. Zbl 0774.92018Gao, Linda Q.; Hethcote, Herbert W. 84 1992 Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122Beltrami, Edward; Carroll, T. O. 84 1994 The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035Hutson, V.; Mischaikow, K.; Poláčik, P. 84 2001 Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A. 84 2003 On the formulation and analysis of general deterministic structured population models. I: Linear theory. Zbl 0909.92023Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Thieme, Horst R. 83 1998 Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125Freedman, H. I.; Shukla, J. B. 82 1991 Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010Mimura, Masayasu; Kawasaki, Kohkichi 82 1980 Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M. 82 2009 Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004Ermentrout, G. B.; Kopell, N. 82 1991 Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006Ruuth, Steven J. 81 1995 SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036Volz, Erik 81 2008 Two species competition in a periodic environment. Zbl 0455.92012Cushing, J. M. 80 1980 Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043Berezovskaya, F.; Karev, G.; Arditi, R. 80 2001 Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020Schwartz, Ira B.; Smith, H. L. 80 1983 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 79 2005 Persistence in population models with demographic fluctuations. Zbl 0606.92022Hallam, Thomas G.; Zhien, Ma 78 1986 On the differential equations of species in competition. Zbl 0344.92009Smale, S. 77 1976 Spatial patterning of the spruce budworm. Zbl 0412.92020Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 77 1979 A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018Gourley, S. A.; Britton, N. F. 76 1996 Epidemiological models with age structure, proportionate mixing, and cross-immunity. Zbl 0715.92028Castillo-Chavez, C.; Hethcote, H. W.; Andreasen, V.; Levin, S. A.; Liu, W. M. 76 1989 Discrete-time travelling waves: Ecological examples. Zbl 0825.92126Kot, Mark 75 1992 Global stability in two species interactions. Zbl 0362.92013Goh, B. S. 75 1976 Isochrons and phaseless sets. Zbl 0345.92001Guckenheimer, J. 73 1975 Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028Imhof, Lorens A.; Nowak, Martin A. 73 2006 Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055Shi, Junping; Shivaji, Ratnasingham 73 2006 Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003Chaplain, M. A. J.; Ganesh, M.; Graham, I. G. 73 2001 The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023Andreasen, Viggo; Lin, Juan; Levin, Simon A. 72 1997 The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021Collings, John B. 72 1997 Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. Zbl 0468.92016Capasso, V.; Maddalena, L. 72 1981 A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011Clark, C. W. 72 1976 Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G. 72 2004 Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017Brokate, Martin 71 1985 Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019Inaba, H. 70 1990 Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050Stinner, C.; Tello, J. I.; Winkler, M. 70 2014 Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026Huang, Jianhua; Lu, Gang; Ruan, Shigui 67 2003 Epidemiological models for sexually transmitted diseases. Zbl 0643.92015Dietz, K.; Hadeler, K. P. 66 1988 Rich dynamics of a ratio-dependent one-prey two-predators model. Zbl 1007.34054Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 66 2001 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046Martcheva, Maia; Thieme, Horst R. 66 2003 Numerical taxonomy with fuzzy sets. Zbl 0403.62039Bezdek, J. C. 65 1974 A delay differential equation model for tumor growth. Zbl 1023.92014Villasana, Minaya; Radunskaya, Ami 65 2003 Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021Ruan, Shigui 64 1993 Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L. 3 2021 Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 3 2021 Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 2 2021 Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji 1 2021 Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena 1 2021 A novel mathematical model of heterogeneous cell proliferation. Zbl 1460.92069Vittadello, Sean T.; McCue, Scott W.; Gunasingh, Gency; Haass, Nikolas K.; Simpson, Matthew J. 1 2021 Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities. Zbl 1466.34046Feng, Tao; Charbonneau, Daniel; Qiu, Zhipeng; Kang, Yun 1 2021 Towards a replicator dynamics model of age structured populations. Zbl 1465.92073Argasinski, Krzysztof; Broom, Mark 1 2021 Corrigendum to: “Best match graphs”. Zbl 07340472Schaller, David; Geiß, Manuela; Chávez, Edgar; González Laffitte, Marcos; López Sánchez, Alitzel; Stadler, Bärbel M. R.; Valdivia, Dulce I.; Hellmuth, Marc; Hernández Rosales, Maribel; Stadler, Peter F. 1 2021 A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter 1 2021 Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. Zbl 1432.92020Loy, Nadia; Preziosi, Luigi 6 2020 Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso 6 2020 The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin 6 2020 Reciprocal best match graphs. Zbl 1433.05303Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 5 2020 Joining and decomposing reaction networks. Zbl 1439.13080Gross, Elizabeth; Harrington, Heather; Meshkat, Nicolette; Shiu, Anne 4 2020 On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 4 2020 Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. 4 2020 Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna 4 2020 The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics. Zbl 1435.91030Varga, Tamás; Móri, Tamás F.; Garay, József 4 2020 Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F. 4 2020 On the minimum value of the Colless index and the bifurcating trees that achieve it. Zbl 1443.92126Coronado, Tomás M.; Fischer, Mareike; Herbst, Lina; Rosselló, Francesc; Wicke, Kristina 4 2020 Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang 4 2020 Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028Cantrell, Robert Stephen; Cosner, Chris; Lewis, Mark A.; Lou, Yuan 3 2020 Bridging the gap between individual-based and continuum models of growing cell populations. Zbl 1432.92007Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R. 3 2020 Infinitesimal homeostasis in three-node input-output networks. Zbl 1436.92009Golubitsky, Martin; Wang, Yangyang 3 2020 The competitive exclusion principle in stochastic environments. Zbl 1435.92092Hening, Alexandru; Nguyen, Dang H. 3 2020 Distribution of extreme first passage times of diffusion. Zbl 1456.92007Lawley, Sean D. 3 2020 Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell. Zbl 1434.35260Seirin-Lee, S.; Sukekawa, T.; Nakahara, T.; Ishii, H.; Ei, S.-I. 2 2020 Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. Zbl 07169646Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W. 2 2020 Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior. Zbl 1433.92066Maciel, Gabriel; Cosner, Chris; Cantrell, Robert Stephen; Lutscher, Frithjof 2 2020 The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117Diekmann, Odo; Planqué, Robert 2 2020 Modelling chase-and-run migration in heterogeneous populations. Zbl 1432.92014Colombi, A.; Scianna, M.; Painter, K. J.; Preziosi, L. 2 2020 Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009Hao, Wenrui; Xue, Chuan 2 2020 Basic reproduction ratios for periodic and time-delayed compartmental models with impulses. Zbl 1440.34086Bai, Zhenguo; Zhao, Xiao-Qiang 2 2020 Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C. 2 2020 Level-1 phylogenetic networks and their balanced minimum evolution polytopes. Zbl 1440.90021Durell, Cassandra; Forcey, Stefan 2 2020 Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490Gai, Chunyi; Iron, David; Kolokolnikov, Theodore 2 2020 Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping 2 2020 Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun 2 2020 Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014Loy, Nadia; Preziosi, Luigi 1 2020 Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level. Zbl 1439.92174Gulbudak, Hayriye; Browne, Cameron J. 1 2020 Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A. 1 2020 Coarse-graining molecular dynamics: stochastic models with non-Gaussian force distributions. Zbl 1434.82064Erban, Radek 1 2020 Uncertainty quantification on a spatial Markov-chain model for the progression of skin cancer. Zbl 1431.60078Vermolen, Fred; Pölönen, Ilkka 1 2020 Monotone dynamics and global behaviors of a West Nile virus model with mosquito demographics. 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J. 64 Song, Xinyu 62 Chattopadhyay, Joydev 62 Perthame, Benoît 62 Winkler, Michael 61 Li, Xuezhi 60 Byrne, Helen Mary 60 Meng, Xinzhu 60 Zou, Xingfu 58 Gumel, Abba B. 58 Shi, Junping 58 Wu, Jianhong 57 Diekmann, Odo 57 Thieme, Horst R. 56 Carrillo de la Plata, José Antonio 56 Kuang, Yang 55 Gyllenberg, Mats 55 Lewis, Mark Alun 54 Shen, Wenxian 54 Wei, Junjie 54 Xiao, Yanni 53 van den Driessche, Pauline 52 Smith, Hal Leslie 51 Martcheva, Maia 47 Liu, Meng 47 Mu, Chunlai 47 Sherratt, Jonathan A. 44 Ha, Seung-Yeal 44 Lin, Zhigui 44 Webb, Glenn Francis 43 Castillo-Chavez, Carlos 43 Cui, Jingan 43 Cushing, Jim M. 43 Yuan, Sanling 42 Allen, Linda J. 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Analyse Non Linéaire 28 International Journal of Computer Mathematics 28 SIAM Journal on Scientific Computing ...and 651 more Journals all top 5 Cited in 61 Fields 15,908 Biology and other natural sciences (92-XX) 5,865 Partial differential equations (35-XX) 5,439 Ordinary differential equations (34-XX) 2,497 Dynamical systems and ergodic theory (37-XX) 1,924 Probability theory and stochastic processes (60-XX) 1,771 Numerical analysis (65-XX) 1,061 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 956 Systems theory; control (93-XX) 676 Integral equations (45-XX) 669 Calculus of variations and optimal control; optimization (49-XX) 608 Difference and functional equations (39-XX) 552 Statistics (62-XX) 488 Operator theory (47-XX) 441 Fluid mechanics (76-XX) 389 Combinatorics (05-XX) 350 Statistical mechanics, structure of matter (82-XX) 343 Computer science (68-XX) 251 Mechanics of deformable solids (74-XX) 225 Operations research, mathematical programming (90-XX) 131 Classical thermodynamics, heat transfer (80-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 111 Mechanics of particles and systems (70-XX) 93 Information and communication theory, circuits (94-XX) 92 Global analysis, analysis on manifolds (58-XX) 89 Real functions (26-XX) 63 Functional analysis (46-XX) 53 Differential geometry (53-XX) 53 Quantum theory (81-XX) 51 Optics, electromagnetic theory (78-XX) 41 Nonassociative rings and algebras (17-XX) 39 General and overarching topics; collections (00-XX) 30 History and biography (01-XX) 30 Measure and integration (28-XX) 24 Group theory and generalizations (20-XX) 23 Approximations and expansions (41-XX) 23 General topology (54-XX) 23 Geophysics (86-XX) 18 Mathematical logic and foundations (03-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Manifolds and cell complexes (57-XX) 17 Integral transforms, operational calculus (44-XX) 16 Special functions (33-XX) 15 Algebraic geometry (14-XX) 14 Mathematics education (97-XX) 13 Convex and discrete geometry (52-XX) 12 Number theory (11-XX) 12 Commutative algebra (13-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 7 Associative rings and algebras (16-XX) 7 Topological groups, Lie groups (22-XX) 7 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 7 Algebraic topology (55-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Sequences, series, summability (40-XX) 5 Relativity and gravitational theory (83-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 3 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 1 General algebraic systems (08-XX) Citations by Year