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: 3,227 Publications (since 1974) References Indexed: 2,681 Publications with 89,448 References. all top 5 Latest Issues 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) 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) ...and 291 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 21 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 14 Lutscher, Frithjof 14 Wolkowicz, Gail S. K. 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 Moulton, Vincent L. 13 Perelson, Alan S. 12 Geritz, Stefan A. H. 12 Griffiths, Robert C. 12 Hastings, Alan 12 Hellmuth, Marc 12 Hethcote, Herbert W. 12 Sherratt, Jonathan A. 11 Broom, Mark 11 Cosner, Chris 11 Hofbauer, Josef 11 Lessard, Sabin 11 Méléard, Sylvie 11 Mimura, Masayasu 11 Pugliese, Andrea 11 Schreiber, Sebastian J. 11 Steel, Michael Anthony 10 Bürger, Reinhard 10 Hening, Alexandru 10 Li, Bingtuan 10 Lou, Yuan 10 Notohara, Morihiro 10 Oster, George F. 10 Semple, Charles 10 Shi, Junping 10 Sleeman, Brian David 10 Weinberger, Hans Felix 10 Zhao, Xiao-Qiang 9 Baake, Ellen 9 Cressman, Ross 9 Dieckmann, Ulf 9 Kisdi, Éva 9 Kuang, Yang 9 Lui, Roger 9 Roberts, Michael George 9 Webb, Glenn Francis 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 Sumner, Jeremy G. 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 Capasso, Vincenzo 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 Golubitsky, Martin A. 7 House, Thomas 7 Karlin, Samuel 7 Ma, Junling ...and 4,348 more Authors all top 5 Fields 3,147 Biology and other natural sciences (92-XX) 676 Ordinary differential equations (34-XX) 674 Partial differential equations (35-XX) 583 Probability theory and stochastic processes (60-XX) 378 Dynamical systems and ergodic theory (37-XX) 255 Numerical analysis (65-XX) 158 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 148 Combinatorics (05-XX) 141 Systems theory; control (93-XX) 123 Statistics (62-XX) 118 Integral equations (45-XX) 95 Difference and functional equations (39-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 55 Operator theory (47-XX) 55 Fluid mechanics (76-XX) 55 Operations research, mathematical programming (90-XX) 44 Statistical mechanics, structure of matter (82-XX) 39 Computer science (68-XX) 37 Mechanics of deformable solids (74-XX) 31 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) 11 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 Real functions (26-XX) 8 Approximations and expansions (41-XX) 7 Order, lattices, ordered algebraic structures (06-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 Measure and integration (28-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Quantum theory (81-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) 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 2,638 Publications have been cited 40,849 times in 22,429 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. 1,114 1990 A user’s guide to PDE models for chemotaxis. Zbl 1161.92003Hillen, T.; Painter, K. J. 694 2009 Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh 308 1986 Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032Kuang, Yang; Beretta, Edoardo 289 1998 Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039Thieme, Horst R. 288 1992 Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A. 280 1987 The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013Dieckmann, Ulf; Law, Richard 253 1996 Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012Kirschner, Denise; Panetta, John Carl 234 1998 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036Weinberger, Hans F. 225 2002 Models of dispersal in biological systems. Zbl 0713.92018Othmer, Hans G.; Dunbar, S. R.; Alt, W. 221 1988 Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033Tang, Sanyi; Chen, Lansun 187 2002 The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark 185 1998 Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang 185 2001 A non-local model for a swarm. Zbl 0940.92032Mogilner, Alexander; Edelstein-Keshet, Leah 184 1999 Predator-prey populations with parasitic infection. Zbl 0716.92021Hadeler, K. P.; Freedman, H. I. 184 1989 The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056Bacaër, Nicolas; Guernaoui, Souad 183 2006 The evolution of dispersal. Zbl 1052.92042Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T. 179 2003 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 176 2002 Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020Diekmann, O. 175 1978 Local vs. non-local interactions in population dynamics. Zbl 0714.92012Furter, J.; Grinfeld, M. 153 1989 Some epidemiological models with nonlinear incidence. Zbl 0722.92015Hethcote, H. W.; van den Driessche, P. 150 1991 Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012Mena-Lorca, Jaime; Hethcote, Herbert W. 148 1992 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 147 2002 The dynamics of density dependent population models. Zbl 0379.92016Guckenheimer, J.; Oster, G.; Ipaktchi, A. 147 1977 Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031Xiao, Dongmei; Ruan, Shigui 144 2001 A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043Gourley, Stephen A.; Kuang, Yang 142 2004 Optimal control of the chemotherapy of HIV. Zbl 0876.92016Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve 141 1997 A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011Culshaw, Rebecca V.; Webb, Glenn 139 2003 Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos 138 1998 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047Berestycki, Henri; Hamel, François; Roques, Lionel 138 2005 Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016Cooke, K.; van den Driessche, P.; Zou, X. 138 1999 Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018Friedman, Avner; Reitich, Fernando 136 1999 Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025Feng, Zhilan; Velasco-Hernández, Jorge X. 129 1997 Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019Cooke, K. L.; van den Driessche, P. 128 1996 State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067Tang, Sanyi; Cheke, Robert A. 127 2005 A simplified neuron model as a principal component analyzer. Zbl 0488.92012Oja, Erkki 127 1982 Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001Alt, Wolfgang 126 1980 A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057Lou, Yijun; Zhao, Xiao-Qiang 126 2011 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019Beretta, Edoardo; Takeuchi, Yasuhiro 126 1995 A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029van den Driessche, P.; Watmough, James 120 2000 Predator-prey system with strong Allee effect in prey. Zbl 1232.92076Wang, Jinfeng; Shi, Junping; Wei, Junjie 119 2011 Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024Dunbar, Steven R. 117 1983 Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021Busenberg, S.; van den Driessche, P. 116 1990 To treat or not to treat: The case of tuberculosis. Zbl 0895.92024Castillo-Chavez, Carlos; Feng, Zhilan 111 1997 Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019Hallam, T. G.; Clark, C. E.; Jordan, G. S. 111 1983 Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015De Mottoni, Piero; Schiaffino, Andrea 110 1981 A competitive exclusion principle for pathogen virulence. Zbl 0715.92027Bremermann, H. J.; Thieme, H. R. 108 1989 Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028Gourley, S. A. 108 2000 Competition for fluctuating nutrient. Zbl 0525.92024Hale, J. K.; Somolinos, A. S. 107 1983 A selection-migration model in population genetics. Zbl 0325.92009Fleming, W. H. 105 1975 Chaos in three species food chains. Zbl 0823.92030Klebanoff, Aaron; Hastings, Alan 100 1994 Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009Hadeler, K. P.; Rothe, F. 99 1975 Predator-prey models with delay and prey harvesting. Zbl 1008.34066Martin, Annik; Ruan, Shigui 97 2001 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. 96 2009 On the stability of the cell size distribution. Zbl 0543.92021Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R. 96 1984 The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018Cantrell, R. S.; Cosner, C. 95 1991 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. 94 2001 SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036Volz, Erik 94 2008 Nonlinear simulation of tumor growth. Zbl 1023.92013Cristini, Vittorio; Lowengrub, John; Nie, Qing 93 2003 Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019Hofbauer, J.; Hutson, V.; Jansen, W. 93 1987 The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035Hutson, V.; Mischaikow, K.; Poláčik, P. 90 2001 Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050Stinner, C.; Tello, J. I.; Winkler, M. 90 2014 Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009Herrero, Miguel A.; Velázquez, Juan J. L. 89 1996 Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006Ruuth, Steven J. 89 1995 Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125Freedman, H. I.; Shukla, J. B. 89 1991 Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122Beltrami, Edward; Carroll, T. O. 88 1994 Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A. 86 2003 Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010Mimura, Masayasu; Kawasaki, Kohkichi 86 1980 Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043Berezovskaya, F.; Karev, G.; Arditi, R. 85 2001 Spatial patterning of the spruce budworm. Zbl 0412.92020Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 85 1979 Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020Schwartz, Ira B.; Smith, H. L. 85 1983 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. 84 1998 A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018Gourley, S. A.; Britton, N. F. 84 1996 Disease transmission models with density-dependent demographics. Zbl 0774.92018Gao, Linda Q.; Hethcote, Herbert W. 84 1992 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. 84 1981 Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004Ermentrout, G. B.; Kopell, N. 83 1991 On the differential equations of species in competition. Zbl 0344.92009Smale, S. 82 1976 Isochrons and phaseless sets. Zbl 0345.92001Guckenheimer, J. 82 1975 Two species competition in a periodic environment. Zbl 0455.92012Cushing, J. M. 82 1980 Geometric singular perturbation theory in biological practice. Zbl 1311.34133Hek, Geertje 81 2010 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 81 2005 Persistence in population models with demographic fluctuations. Zbl 0606.92022Hallam, Thomas G.; Zhien, Ma 81 1986 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. 80 1989 Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055Shi, Junping; Shivaji, Ratnasingham 79 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. 78 2001 The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021Collings, John B. 78 1997 Optimal HIV treatment by maximising immune response. Zbl 1057.92035Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J. 78 2004 Discrete-time travelling waves: Ecological examples. Zbl 0825.92126Kot, Mark 77 1992 Global stability in two species interactions. Zbl 0362.92013Goh, B. S. 76 1976 Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028Imhof, Lorens A.; Nowak, Martin A. 76 2006 Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019Inaba, H. 75 1990 Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026Huang, Jianhua; Lu, Gang; Ruan, Shigui 74 2003 A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011Clark, C. W. 74 1976 Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017Brokate, Martin 74 1985 Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067Liu, Meng; Bai, Chuanzhi 74 2016 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046Martcheva, Maia; Thieme, Horst R. 73 2003 Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G. 73 2004 A model for the spatial spread of an epidemic. Zbl 0373.92031Thieme, H. R. 73 1977 The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023Andreasen, Viggo; Lin, Juan; Levin, Simon A. 72 1997 Modelling the fear effect in predator-prey interactions. Zbl 1358.34058Wang, Xiaoying; Zanette, Liana; Zou, Xingfu 72 2016 A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 07471424Yu, Jianshe; Li, Jia 1 2022 Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L. 6 2021 Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 5 2021 Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 5 2021 Spatial movement with distributed memory. Zbl 1461.35034Shi, Qingyan; Shi, Junping; Wang, Hao 4 2021 Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji 3 2021 On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107Wang, Zhi-An; Xu, Jiao 3 2021 Information geometry for phylogenetic trees. Zbl 1460.92141Garba, M. K.; Nye, Tom M. W.; Lueg, J.; Huckemann, S. F. 3 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 3 2021 A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter 3 2021 The structure of infinitesimal homeostasis in input-output networks. Zbl 1467.92083Wang, Yangyang; Huang, Zhengyuan; Antoneli, Fernando; Golubitsky, Martin 3 2021 Distinguishing level-1 phylogenetic networks on the basis of data generated by Markov processes. Zbl 1471.92236Gross, Elizabeth; van Iersel, Leo; Janssen, Remie; Jones, Mark; Long, Colby; Murakami, Yukihiro 2 2021 Unbounded solutions of models for glycolysis. Zbl 1457.92057Brechmann, Pia; Rendall, Alan D. 2 2021 Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena 2 2021 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 2 2021 Invasive behaviour under competition via a free boundary model: a numerical approach. Zbl 1477.35285Khan, Kamruzzaman; Liu, Shuang; Schaerf, Timothy M.; Du, Yihong 2 2021 Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias. Zbl 1462.35419Shi, Yangyang; Zhao, Hongyong 2 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. 2 2021 Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. Zbl 1462.35415Kumar, Pawan; Li, Jing; Surulescu, Christina 2 2021 A delay model for persistent viral infections in replicating cells. Zbl 1466.92032Gulbudak, Hayriye; Salceanu, Paul L.; Wolkowicz, Gail S. K. 2 2021 Stationary distributions of persistent ecological systems. Zbl 1467.92241Hening, Alexandru; Li, Yao 2 2021 Trinets encode orchard phylogenetic networks. Zbl 1471.92237Semple, Charles; Toft, Gerry 1 2021 A dual process for the coupled Wright-Fisher diffusion. Zbl 1465.92068Favero, Martina; Hult, Henrik; Koski, Timo 1 2021 Computing nearest neighbour interchange distances between ranked phylogenetic trees. Zbl 07303133Collienne, Lena; Gavryushkin, Alex 1 2021 Estimating the extent of glioblastoma invasion. Approximate stationalization of anisotropic advection-diffusion-reaction equations in the context of glioblastoma invasion. Zbl 1459.35360Engwer, Christian; Wenske, Michael 1 2021 Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention. Zbl 1467.92206Ketcheson, David I. 1 2021 A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column. Zbl 1473.35175Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan 1 2021 A branching process model for dormancy and seed banks in randomly fluctuating environments. Zbl 1468.92053Blath, Jochen; Hermann, Felix; Slowik, Martin 1 2021 Discrete-time population dynamics of spatially distributed semelparous two-sex populations. Zbl 1470.92266Thieme, Horst R. 1 2021 An alternative delayed population growth difference equation model. Zbl 1472.39035Streipert, Sabrina H.; Wolkowicz, Gail S. K. 1 2021 Fixation probabilities in evolutionary dynamics under weak selection. Zbl 1460.92144McAvoy, Alex; Allen, Benjamin 1 2021 Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria. Zbl 1460.92125Youlden, George H.; Ricci, Vito; Wang-Kan, Xuan; Piddock, Laura J. V.; Jabbari, Sara; King, John R. 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 The formation of spreading front: the singular limit of three-component reaction-diffusion models. Zbl 1464.35365Izuhara, Hirofumi; Monobe, Harunori; Wu, Chang-Hong 1 2021 Towards a replicator dynamics model of age structured populations. Zbl 1465.92073Argasinski, Krzysztof; Broom, Mark 1 2021 Analysis of an age-structured tuberculosis model with treatment and relapse. Zbl 1466.92180Guo, Zhong-Kai; Xiang, Hong; Huo, Hai-Feng 1 2021 Dynamics of epidemic spreading on connected graphs. Zbl 1464.35356Besse, Christophe; Faye, Grégory 1 2021 A systematic search for switch-like behavior in type II toxin-antitoxin systems. Zbl 1466.92061FitzGerald, Cody E.; Keener, James P. 1 2021 Stationary distributions via decomposition of stochastic reaction networks. Zbl 1478.92265Hoessly, Linard 1 2021 Haldane’s formula in Cannings models: the case of moderately strong selection. Zbl 1479.60150Boenkost, Florin; González Casanova, Adrián; Pokalyuk, Cornelia; Wakolbinger, Anton 1 2021 Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. Zbl 1432.92020Loy, Nadia; Preziosi, Luigi 12 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. 9 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 8 2020 Reciprocal best match graphs. Zbl 1433.05303Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc 7 2020 The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin 7 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 7 2020 Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. Zbl 1475.92138Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W. 6 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. 6 2020 Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047Knauer, Franziska; Stiehl, Thomas; Marciniak-Czochra, Anna 5 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 5 2020 Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks. Zbl 1431.60083Chen, Xian; Jia, Chen 5 2020 Infinitesimal homeostasis in three-node input-output networks. Zbl 1436.92009Golubitsky, Martin; Wang, Yangyang 5 2020 The competitive exclusion principle in stochastic environments. Zbl 1435.92092Hening, Alexandru; Nguyen, Dang H. 5 2020 Joining and decomposing reaction networks. Zbl 1439.13080Gross, Elizabeth; Harrington, Heather; Meshkat, Nicolette; Shiu, Anne 5 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 5 2020 Harvesting and seeding of stochastic populations: analysis and numerical approximation. Zbl 1441.91055Hening, Alexandru; Tran, Ky Quan 4 2020 Mixture distributions in a stochastic gene expression model with delayed feedback: a WKB approximation approach. Zbl 1447.92132Bokes, Pavol; Borri, Alessandro; Palumbo, Pasquale; Singh, Abhyudai 4 2020 Resident-invader dynamics of similar strategies in fluctuating environments. Zbl 1454.34069Cai, Yuhua; Geritz, Stefan A. H. 4 2020 Caterpillars on three and four leaves are sufficient to binary normal networks. Zbl 1451.92225Linz, Simone; Semple, Charles 4 2020 Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028Cantrell, Robert Stephen; Cosner, Chris; Lewis, Mark A.; Lou, Yuan 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 Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009Hao, Wenrui; Xue, Chuan 4 2020 Basic reproduction ratios for periodic and time-delayed compartmental models with impulses. Zbl 1440.34086Bai, Zhenguo; Zhao, Xiao-Qiang 4 2020 Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014Loy, Nadia; Preziosi, Luigi 4 2020 Global analysis of a predator-prey model with variable predator search rate. Zbl 1448.34099Dalziel, Benjamin D.; Thomann, Enrique; Medlock, Jan; De Leenheer, Patrick 3 2020 Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping 3 2020 Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun 3 2020 Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. Zbl 1458.35422Eckardt, Maria; Painter, Kevin J.; Surulescu, Christina; Zhigun, Anna 3 2020 Counting phylogenetic networks of level 1 and 2. Zbl 1455.05006Bouvel, Mathilde; Gambette, Philippe; Mansouri, Marefatollah 3 2020 Invasion analysis on a predator-prey system in open advective environments. Zbl 1458.35427Nie, Hua; Wang, Biao; Wu, Jianhua 3 2020 Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior. Zbl 1433.92066Maciel, Gabriel; Cosner, Chris; Cantrell, Robert Stephen; Lutscher, Frithjof 3 2020 Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A. 3 2020 Modelling collective cell migration: neural crest as a model paradigm. Zbl 1432.92016Giniūnaitė, Rasa; Baker, Ruth E.; Kulesa, Paul M.; Maini, Philip K. 3 2020 Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C. 3 2020 Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490Gai, Chunyi; Iron, David; Kolokolnikov, Theodore 3 2020 Cannings models, population size changes and multiple-merger coalescents. Zbl 1451.92252Freund, Fabian 3 2020 Canard-induced complex oscillations in an excitatory network. Zbl 1472.34091Köksal Ersöz, Elif; Desroches, Mathieu; Guillamon, Antoni; Rinzel, John; Tabak, Joël 3 2020 A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018Fu, Xiaoming; Griette, Quentin; Magal, Pierre 3 2020 Distribution of extreme first passage times of diffusion. Zbl 1456.92007Lawley, Sean D. 3 2020 Analysis and optimal control of an HIV model based on CD4 count. Zbl 1447.92432Ishaku, A.; Gazali, A. M.; Abdullahi, S. A.; Hussaini, N. 2 2020 Modeling the role of macrophages in HIV persistence during antiretroviral therapy. Zbl 1447.37081Guo, Ting; Qiu, Zhipeng; Rong, Libin 2 2020 Populations in environments with a soft carrying capacity are eventually extinct. Zbl 1451.92257Jagers, Peter; Zuyev, Sergei 2 2020 Influence of a road on a population in an ecological niche facing climate change. Zbl 1451.35228Berestycki, Henri; Ducasse, Romain; Rossi, Luca 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 An almost periodic Ross-Macdonald model with structured vector population in a patchy environment. Zbl 1440.34051Wang, Bin-Guo; Qiang, Lizhong; Wang, Zhi-Cheng 2 2020 Level-1 phylogenetic networks and their balanced minimum evolution polytopes. Zbl 1440.90021Durell, Cassandra; Forcey, Stefan 2 2020 Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level. Zbl 1439.92174Gulbudak, Hayriye; Browne, Cameron J. 2 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 Interactions between different predator-prey states: a method for the derivation of the functional and numerical response. Zbl 1444.92080Berardo, Cecilia; Geritz, Stefan; Gyllenberg, Mats; Raoul, Gaël 2 2020 Continuous and discrete modeling of HIV-1 decline on therapy. Zbl 1448.34166Akın, Elvan; Yeni, Gülşah; Perelson, Alan S. 1 2020 Optimal open-loop desynchronization of neural oscillator populations. Zbl 1447.92208Wilson, Dan 1 2020 Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach. Zbl 1447.92218Enahoro, Iboi; Eikenberry, Steffen; Gumel, Abba B.; Huijben, Silvie; Paaijmans, Krijn 1 2020 Fixation probabilities for the Moran process with three or more strategies: general and coupling results. Zbl 1437.91073Ferreira, Eliza M.; Neves, Armando G. M. 1 2020 On the effects of carrying capacity and intrinsic growth rate on single and multiple species in spatially heterogeneous environments. Zbl 1444.92088Guo, Qian; He, Xiaoqing; Ni, Wei-Ming 1 2020 On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120Allen, E. J.; Allen, L. J. S.; Smith, H. L. 1 2020 Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud 1 2020 Target reproduction numbers for reaction-diffusion population models. Zbl 1445.35214Wang, Xueying; Zhao, Xiao-Qiang 1 2020 A multiphase model of growth factor-regulated atherosclerotic cap formation. Zbl 1448.92066Watson, Michael G.; Byrne, Helen M.; Macaskill, Charlie; Myerscough, Mary R. 1 2020 ...and 1451 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 22,096 Authors 186 Chen, Lansun 146 Teng, Zhi-dong 102 Li, Wan-Tong 101 Ruan, Shigui 93 Jin, Zhen 93 Zhao, Xiao-Qiang 78 Tang, Sanyi 77 Jiang, Daqing 76 Takeuchi, Yasuhiro 73 Lou, Yuan 72 Maini, Philip Kumar 68 Winkler, Michael 68 Xu, Rui 67 Chaplain, Mark A. 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Académie des Sciences, Paris 37 Kinetic and Related Models 36 Communications in Partial Differential Equations 35 Dynamic Games and Applications 33 Linear Algebra and its Applications 33 The ANZIAM Journal 32 Journal of Optimization Theory and Applications 32 Stochastic Analysis and Applications ...and 693 more Journals all top 5 Cited in 61 Fields 17,246 Biology and other natural sciences (92-XX) 6,468 Partial differential equations (35-XX) 5,919 Ordinary differential equations (34-XX) 2,683 Dynamical systems and ergodic theory (37-XX) 2,115 Probability theory and stochastic processes (60-XX) 1,946 Numerical analysis (65-XX) 1,141 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,048 Systems theory; control (93-XX) 745 Calculus of variations and optimal control; optimization (49-XX) 727 Integral equations (45-XX) 638 Difference and functional equations (39-XX) 585 Statistics (62-XX) 533 Operator theory (47-XX) 484 Fluid mechanics (76-XX) 435 Statistical mechanics, structure of matter (82-XX) 432 Combinatorics (05-XX) 392 Computer science (68-XX) 270 Mechanics of deformable solids (74-XX) 248 Operations research, mathematical programming (90-XX) 136 Classical thermodynamics, heat transfer (80-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 120 Mechanics of particles and systems (70-XX) 107 Real functions (26-XX) 98 Global analysis, analysis on manifolds (58-XX) 96 Information and communication theory, circuits (94-XX) 67 Functional analysis (46-XX) 63 Quantum theory (81-XX) 59 Differential geometry (53-XX) 56 Optics, electromagnetic theory (78-XX) 44 Nonassociative rings and algebras (17-XX) 41 General and overarching topics; collections (00-XX) 32 Measure and integration (28-XX) 31 History and biography (01-XX) 28 Approximations and expansions (41-XX) 27 Group theory and generalizations (20-XX) 25 Geophysics (86-XX) 24 General topology (54-XX) 22 Integral transforms, operational calculus (44-XX) 20 Mathematical logic and foundations (03-XX) 19 Special functions (33-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Manifolds and cell complexes (57-XX) 18 Algebraic geometry (14-XX) 15 Commutative algebra (13-XX) 14 Convex and discrete geometry (52-XX) 13 Mathematics education (97-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Number theory (11-XX) 11 Functions of a complex variable (30-XX) 9 Topological groups, Lie groups (22-XX) 8 Associative rings and algebras (16-XX) 8 Potential theory (31-XX) 8 Algebraic topology (55-XX) 6 Sequences, series, summability (40-XX) 6 Relativity and gravitational theory (83-XX) 5 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 2 Geometry (51-XX) 1 General algebraic systems (08-XX) Citations by Year