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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: 3,298 Publications (since 1974)
References Indexed: 2,752 Publications with 92,518 References.
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Latest Issues

85, No. 6-7 (2022)
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78, No. 7 (2019)
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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)
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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)
...and 297 more Volumes
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Authors

30 Maini, Philip Kumar
29 Metz, Johan A. Jacob
28 Diekmann, Odo
28 van den Driessche, Pauline
25 Byrne, Helen Mary
24 Gyllenberg, Mats
24 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 Edelstein-Keshet, Leah
14 Hillen, Thomas
14 Huber, Katharina T.
14 Lutscher, Frithjof
14 Wolkowicz, Gail S. K.
13 Chaplain, Mark A. J.
13 Gourley, Stephen A.
13 Hastings, Alan Matthew
13 Hsu, Szebi
13 Keener, James P.
13 Liberman, Uri
13 Moulton, Vincent L.
13 Perelson, Alan S.
12 Cosner, Chris
12 Geritz, Stefan A. H.
12 Griffiths, Robert C.
12 Hellmuth, Marc
12 Hethcote, Herbert W.
12 Hofbauer, Josef
12 Lessard, Sabin
12 Mimura, Masayasu
12 Schreiber, Sebastian J.
12 Sherratt, Jonathan A.
12 Steel, Michael Anthony
11 Broom, Mark
11 Ermentrout, George Bard
11 Li, Bingtuan
11 Méléard, Sylvie
11 Pugliese, Andrea
11 Semple, Charles
10 Bürger, Reinhard
10 Hening, Alexandru
10 Lou, Yuan
10 Notohara, Morihiro
10 Oster, George F.
10 Shi, Junping
10 Sleeman, Brian David
10 Weinberger, Hans Felix
10 Zhao, Xiao-Qiang
9 Baake, Ellen
9 Cantrell, Robert Stephen
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 Ball, Frank G.
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 Kiss, István Z.
8 Ma, Junling
8 Painter, Kevin J.
8 Preziosi, Luigi
8 Sumner, Jeremy G.
8 Tuljapurkar, Shripad D.
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
7 Feldman, Marcus W.
7 Feng, Zhilan
7 Golubitsky, Martin A.
7 House, Thomas
...and 4,455 more Authors
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Fields

3,217 Biology and other natural sciences (92-XX)
696 Partial differential equations (35-XX)
686 Ordinary differential equations (34-XX)
595 Probability theory and stochastic processes (60-XX)
382 Dynamical systems and ergodic theory (37-XX)
259 Numerical analysis (65-XX)
166 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
154 Combinatorics (05-XX)
144 Systems theory; control (93-XX)
126 Statistics (62-XX)
120 Integral equations (45-XX)
95 Difference and functional equations (39-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
56 Fluid mechanics (76-XX)
55 Operator theory (47-XX)
55 Operations research, mathematical programming (90-XX)
44 Statistical mechanics, structure of matter (82-XX)
39 Computer science (68-XX)
38 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 History and biography (01-XX)
9 Approximations and expansions (41-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 Real functions (26-XX)
8 Manifolds and cell complexes (57-XX)
8 Optics, electromagnetic theory (78-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Convex and discrete geometry (52-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 Algebraic topology (55-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 Geophysics (86-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

2,699 Publications have been cited 43,182 times in 23,786 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.
1990
A user’s guide to PDE models for chemotaxis. Zbl 1161.92003
Hillen, T.; Painter, K. J.
746
2009
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh
345
1986
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
318
1992
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
301
1998
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
300
1987
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
Dieckmann, Ulf; Law, Richard
259
1996
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
252
1998
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
237
2002
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
226
1988
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
196
1998
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
Bacaër, Nicolas; Guernaoui, Souad
194
2006
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
194
2001
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
192
2003
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
191
1989
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
Tang, Sanyi; Chen, Lansun
191
2002
A non-local model for a swarm. Zbl 0940.92032
Mogilner, Alexander; Edelstein-Keshet, Leah
190
1999
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
186
1978
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan
186
2002
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
170
1989
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
162
2002
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
160
1992
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
158
1991
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
152
2003
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
151
2001
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
149
2011
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
148
2004
The dynamics of density dependent population models. Zbl 0379.92016
Guckenheimer, J.; Oster, G.; Ipaktchi, A.
147
1977
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
145
2005
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
145
1997
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
144
1998
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
143
1999
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
143
1999
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
139
1996
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
139
1995
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
136
2011
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
135
1997
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
134
2005
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
131
2000
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
128
1982
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
127
1980
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
123
1983
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
120
1990
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
115
1997
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
Hallam, T. G.; Clark, C. E.; Jordan, G. S.
113
1983
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
111
1981
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
110
1989
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
110
1975
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
110
2000
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
109
2016
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
108
1983
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
105
1994
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
103
2009
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
102
2008
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
102
2001
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
100
1975
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
100
1991
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
99
2014
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
98
1995
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
97
1984
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
97
2003
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.
96
2001
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
95
1987
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
94
2001
Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067
Liu, Meng; Bai, Chuanzhi
92
2016
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
91
1991
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
91
1980
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
Beltrami, Edward; Carroll, T. O.
91
1994
Geometric singular perturbation theory in biological practice. Zbl 1311.34133
Hek, Geertje
90
2010
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
89
1979
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.
89
1981
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
89
1996
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.
88
1989
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
88
1996
Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A.
88
2003
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
87
2001
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
86
1983
Persistence in population models with demographic fluctuations. Zbl 0606.92022
Hallam, Thomas G.; Zhien, Ma
86
1986
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.
86
1998
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
86
1997
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
85
1992
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
85
1975
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
84
1976
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
83
1991
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
82
2005
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
82
1980
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
82
2004
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
81
2006
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
80
1990
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.
80
2001
Discrete-time travelling waves: Ecological examples. Zbl 0825.92126
Kot, Mark
79
1992
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
Imhof, Lorens A.; Nowak, Martin A.
79
2006
Global stability in two species interactions. Zbl 0362.92013
Goh, B. S.
79
1976
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
77
1985
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
77
2003
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
77
2003
A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011
Clark, C. W.
76
1976
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S.
76
2011
The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023
Andreasen, Viggo; Lin, Juan; Levin, Simon A.
76
1997
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
75
1981
A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 1489.34120
Yu, Jianshe; Li, Jia
4
2022
Global dynamics of a generalist predator-prey model in open advective environments. Zbl 1487.35059
Lou, Yuan; Nie, Hua
2
2022
Long-time behavior of a PDE replicator equation for multilevel selection in group-structured populations. Zbl 07567875
Cooney, Daniel B.; Mori, Yoichiro
2
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
1
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
1
2022
Vectorial crystallization problems and collective behavior. Zbl 1483.74004
De Luca, L.; Ninno, A.; Ponsiglione, M.
1
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
1
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
1
2022
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements. Zbl 07518277
Dasarathy, Gautam; Mossel, Elchanan; Nowak, Robert; Roch, Sebastien
1
2022
Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. Zbl 1496.92041
Arino, Julien; Milliken, Evan
1
2022
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay. Zbl 07572813
Zheng, Bo
1
2022
Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029
Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L.
10
2021
Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
8
2021
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
7
2021
On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107
Wang, Zhi-An; Xu, Jiao
6
2021
Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149
Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
6
2021
Spatial movement with distributed memory. Zbl 1461.35034
Shi, Qingyan; Shi, Junping; Wang, Hao
6
2021
Unbounded solutions of models for glycolysis. Zbl 1457.92057
Brechmann, Pia; Rendall, Alan D.
5
2021
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
5
2021
Information geometry for phylogenetic trees. Zbl 1460.92141
Garba, M. K.; Nye, Tom M. W.; Lueg, J.; Huckemann, S. F.
4
2021
Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias. Zbl 1462.35419
Shi, Yangyang; Zhao, Hongyong
4
2021
Analysis of an age-structured tuberculosis model with treatment and relapse. Zbl 1466.92180
Guo, Zhong-Kai; Xiang, Hong; Huo, Hai-Feng
4
2021
Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. Zbl 1462.35415
Kumar, Pawan; Li, Jing; Surulescu, Christina
4
2021
A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226
Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter
4
2021
A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column. Zbl 1473.35175
Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan
3
2021
A geometric analysis of the SIRS epidemiological model on a homogeneous network. Zbl 1479.34083
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia
3
2021
Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena
3
2021
Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities. Zbl 1466.34046
Feng, Tao; Charbonneau, Daniel; Qiu, Zhipeng; Kang, Yun
3
2021
Corrigendum to: “Best match graphs”. Zbl 07340472
Schaller, 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.
3
2021
Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change. Zbl 1462.92051
Schecter, Stephen
3
2021
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention. Zbl 1467.92206
Ketcheson, David I.
3
2021
The structure of infinitesimal homeostasis in input-output networks. Zbl 1467.92083
Wang, Yangyang; Huang, Zhengyuan; Antoneli, Fernando; Golubitsky, Martin
3
2021
Stationary distributions of persistent ecological systems. Zbl 1467.92241
Hening, Alexandru; Li, Yao
3
2021
A branching process model for dormancy and seed banks in randomly fluctuating environments. Zbl 1468.92053
Blath, Jochen; Hermann, Felix; Slowik, Martin
2
2021
Invasive behaviour under competition via a free boundary model: a numerical approach. Zbl 1477.35285
Khan, Kamruzzaman; Liu, Shuang; Schaerf, Timothy M.; Du, Yihong
2
2021
Trinets encode orchard phylogenetic networks. Zbl 1471.92237
Semple, Charles; Toft, Gerry
2
2021
Distinguishing level-1 phylogenetic networks on the basis of data generated by Markov processes. Zbl 1471.92236
Gross, Elizabeth; van Iersel, Leo; Janssen, Remie; Jones, Mark; Long, Colby; Murakami, Yukihiro
2
2021
Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment. Zbl 1471.92349
Shu, Hongying; Ma, Zongwei; Wang, Xiang-Sheng
2
2021
A dual process for the coupled Wright-Fisher diffusion. Zbl 1465.92068
Favero, Martina; Hult, Henrik; Koski, Timo
2
2021
Dynamics of a periodic tick-borne disease model with co-feeding and multiple patches. Zbl 1461.92127
Zhang, Xue; Sun, Bei; Lou, Yijun
2
2021
Spots, stripes, and spiral waves in models for static and motile cells. GTPase patterns in cells. Zbl 1460.92025
Liu, Yue; Rens, Elisabeth G.; Edelstein-Keshet, Leah
2
2021
A novel mathematical model of heterogeneous cell proliferation. Zbl 1460.92069
Vittadello, Sean T.; McCue, Scott W.; Gunasingh, Gency; Haass, Nikolas K.; Simpson, Matthew J.
2
2021
Towards a replicator dynamics model of age structured populations. Zbl 1465.92073
Argasinski, Krzysztof; Broom, Mark
2
2021
A delay model for persistent viral infections in replicating cells. Zbl 1466.92032
Gulbudak, Hayriye; Salceanu, Paul L.; Wolkowicz, Gail S. K.
2
2021
Stationary distributions via decomposition of stochastic reaction networks. Zbl 1478.92265
Hoessly, Linard
2
2021
Haldane’s formula in Cannings models: the case of moderately strong selection. Zbl 1479.60150
Boenkost, Florin; González Casanova, Adrián; Pokalyuk, Cornelia; Wakolbinger, Anton
2
2021
Vaccination and herd immunity thresholds in heterogeneous populations. Zbl 1480.92125
Elbasha, Elamin H.; Gumel, Abba B.
2
2021
Discrete-time population dynamics of spatially distributed semelparous two-sex populations. Zbl 1470.92266
Thieme, Horst R.
1
2021
An alternative delayed population growth difference equation model. Zbl 1472.39035
Streipert, Sabrina H.; Wolkowicz, Gail S. K.
1
2021
An investigation of tuberculosis progression revealing the role of macrophages apoptosis via sensitivity and bifurcation analysis. Zbl 1479.34087
Zhang, Wenjing; Ellingson, Leif; Frascoli, Federico; Heffernan, Jane
1
2021
Destabilization and chaos induced by harvesting: insights from one-dimensional discrete-time models. Zbl 1457.92141
Jiménez López, Víctor; Liz, Eduardo
1
2021
Computing nearest neighbour interchange distances between ranked phylogenetic trees. Zbl 07303133
Collienne, 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 1459.35360
Engwer, Christian; Wenske, Michael
1
2021
Fixation probabilities in evolutionary dynamics under weak selection. Zbl 1460.92144
McAvoy, Alex; Allen, Benjamin
1
2021
Traveling waves in non-local pulse-coupled networks. Zbl 1461.92005
Ding, Yujie; Ermentrout, Bard
1
2021
Hybrid models of chemotaxis with application to leukocyte migration. Zbl 1460.92031
Lu, Hannah; Um, Kimoon; Tartakovsky, Daniel M.
1
2021
Time dependent asymptotic analysis of the gene regulatory network of the AcrAB-TolC efflux pump system in gram-negative bacteria. Zbl 1460.92125
Youlden, George H.; Ricci, Vito; Xuan, Wang-Kan; Piddock, Laura J. V.; Jabbari, Sara; King, John R.
1
2021
A non-parametric method for determining epidemiological reproduction numbers. Zbl 1465.92125
Pijpers, Frank P.
1
2021
The formation of spreading front: the singular limit of three-component reaction-diffusion models. Zbl 1464.35365
Izuhara, Hirofumi; Monobe, Harunori; Wu, Chang-Hong
1
2021
A reaction-diffusion model of spatial propagation of A\(\beta\) oligomers in early stage Alzheimer’s disease. Zbl 1464.35349
Andrade-Restrepo, Martin; Ciuperca, Ionel Sorin; Lemarre, Paul; Pujo-Menjouet, Laurent; Tine, Léon Matar
1
2021
The rigid hybrid number for two phylogenetic trees. Zbl 1460.92142
Huber, Katharina T.; Linz, Simone; Moulton, Vincent
1
2021
On time-discretized versions of the stochastic SIS epidemic model: a comparative analysis. Zbl 1470.92300
Gómez-Corral, Antonio; López-García, Martín; Rodríguez-Bernal, Maria Teresa
1
2021
Dynamics of epidemic spreading on connected graphs. Zbl 1464.35356
Besse, Christophe; Faye, Grégory
1
2021
A systematic search for switch-like behavior in type II toxin-antitoxin systems. Zbl 1466.92061
FitzGerald, Cody E.; Keener, James P.
1
2021
Indirect identification of horizontal gene transfer. Zbl 1467.92134
Schaller, David; Lafond, Manuel; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc
1
2021
Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator. Zbl 1472.34092
Kopfová, Jana; Nábělková, Petra; Rachinskii, Dmitrii; Rouf, Samiha C.
1
2021
Adaptation in a heterogeneous environment I: persistence versus extinction. Zbl 1473.35598
Hamel, François; Lavigne, Florian; Roques, Lionel
1
2021
Revisiting Shao and Sokal’s \(B_2\) index of phylogenetic balance. Zbl 1475.92115
Bienvenu, François; Cardona, Gabriel; Scornavacca, Celine
1
2021
Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit. Zbl 1479.35873
Brocchieri, Elisabetta; Corrias, Lucilla; Dietert, Helge; Kim, Yong-Jung
1
2021
An all-leader agent-based model for turning and flocking birds. Zbl 1475.92217
Cristiani, Emiliano; Menci, Marta; Papi, Marco; Brafman, Léonard
1
2021
Incorporating carbon dioxide into a stoichiometric producer-grazer model. Zbl 1475.92207
Davies, Colleen M.; Wang, Hao
1
2021
Demographic feedbacks can hamper the spatial spread of a gene drive. Zbl 1483.35287
Girardin, Léo; Débarre, Florence
1
2021
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. Zbl 1432.92020
Loy, Nadia; Preziosi, Luigi
14
2020
Invasion analysis on a predator-prey system in open advective environments. Zbl 1458.35427
Nie, Hua; Wang, Biao; Wu, Jianhua
11
2020
Joining and decomposing reaction networks. Zbl 1439.13080
Gross, Elizabeth; Harrington, Heather; Meshkat, Nicolette; Shiu, Anne
10
2020
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
10
2020
Bridging the gap between individual-based and continuum models of growing cell populations. Zbl 1432.92007
Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R.
10
2020
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
9
2020
Counting phylogenetic networks of level 1 and 2. Zbl 1455.05006
Bouvel, Mathilde; Gambette, Philippe; Mansouri, Marefatollah
8
2020
Harvesting and seeding of stochastic populations: analysis and numerical approximation. Zbl 1441.91055
Hening, Alexandru; Tran, Ky Quan
8
2020
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
8
2020
On the minimum value of the Colless index and the bifurcating trees that achieve it. Zbl 1443.92126
Coronado, Tomás M.; Fischer, Mareike; Herbst, Lina; Rosselló, Francesc; Wicke, Kristina
7
2020
Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106
Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping
7
2020
Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028
Cantrell, Robert Stephen; Cosner, Chris; Lewis, Mark A.; Lou, Yuan
7
2020
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
7
2020
Reciprocal best match graphs. Zbl 1433.05303
Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
7
2020
On the conjecture for the pushed wavefront to the diffusive Lotka-Volterra competition model. Zbl 1431.35070
Alhasanat, Ahmad; Ou, Chunhua
6
2020
Best match graphs and reconciliation of gene trees with species trees. Zbl 1434.05035
Geiß, Manuela; Laffitte, Marcos E. González; Sánchez, Alitzel López; Valdivia, Dulce I.; Hellmuth, Marc; Rosales, Maribel Hernández; Stadler, Peter F.
6
2020
Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. Zbl 1475.92138
Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W.
6
2020
Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014
Loy, Nadia; Preziosi, Luigi
5
2020
An SIS model for the epidemic dynamics with two phases of the human day-to-day activity. Zbl 1443.92183
Seno, Hiromi
5
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
5
2020
The competitive exclusion principle in stochastic environments. Zbl 1435.92092
Hening, Alexandru; Nguyen, Dang H.
5
2020
Global analysis of a predator-prey model with variable predator search rate. Zbl 1448.34099
Dalziel, Benjamin D.; Thomann, Enrique; Medlock, Jan; De Leenheer, Patrick
5
2020
Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102
Wang, Yuanshi; Wu, Hong; He, Yiyang; Wang, Zhihui; Hu, Kun
5
2020
On models of physiologically structured populations and their reduction to ordinary differential equations. Zbl 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
5
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
5
2020
Oscillations in a white blood cell production model with multiple differentiation stages. Zbl 1440.34047
Knauer, 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 1435.91030
Varga, Tamás; Móri, Tamás F.; Garay, József
5
2020
Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks. Zbl 1431.60083
Chen, Xian; Jia, Chen
5
2020
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186 Chen, Lansun
158 Teng, Zhi-dong
109 Li, Wan-Tong
104 Ruan, Shigui
98 Jin, Zhen
95 Jiang, Daqing
95 Zhao, Xiao-Qiang
81 Tang, Sanyi
77 Takeuchi, Yasuhiro
75 Maini, Philip Kumar
73 Lou, Yuan
70 Perthame, Benoît
70 Winkler, Michael
69 Meng, Xinzhu
67 Chaplain, Mark A. J.
67 Shi, Junping
65 Byrne, Helen Mary
65 Wang, Wendi
65 Zou, Xingfu
64 Song, Xinyu
63 Li, Xuezhi
63 Shen, Wenxian
62 Xiao, Yanni
60 Gumel, Abba B.
60 Lewis, Mark Alun
60 Xu, Rui
59 Carrillo de la Plata, José Antonio
59 Chattopadhyay, Joydev
59 Diekmann, Odo
59 Thieme, Horst R.
59 van den Driessche, Pauline
58 Kuang, Yang
56 Gyllenberg, Mats
56 Liu, Meng
56 Wei, Junjie
55 Wu, Jianhong
54 Martcheva, Maia
54 Yuan, Sanling
53 Elaiw, Ahmed M.
53 Mu, Chunlai
52 Smith, Hal Leslie
51 Sherratt, Jonathan A.
51 Wang, Jinliang
49 Kang, Yun
49 Lin, Zhigui
49 Qiu, Zhipeng
49 Sun, Guiquan
49 Zhang, Tonghua
47 Guo, Shangjiang
47 Kuniya, Toshikazu
47 Ma, Wanbiao
47 Wang, Weiming
47 Yuan, Rong
46 Lutscher, Frithjof
46 Webb, Glenn Francis
45 Allen, Linda J. S.
45 Castillo-Chavez, Carlos
45 Cui, Jingan
45 Ha, Seung-Yeal
45 Samanta, Guru Prasad
45 Wang, Yuanshi
44 Bellomo, Nicola
44 Cushing, Jim M.
44 Feng, Zhilan
44 Gao, Shujing
44 Hayat, Tasawar
43 Lin, Guo
43 Volpert, Vitaly A.
43 Yakubu, Abdul-Aziz
42 Banks, Harvey Thomas
42 Zhu, Huaiping
41 Cosner, Chris
41 Freedman, Herbert Irving
41 Liu, Shengqiang
40 Hadeler, Karl-Peter
40 Hillen, Thomas
40 Huo, Hai-Feng
40 Ma, Zhien
40 Simpson, Matthew J.
40 Venturino, Ezio
40 Wang, Feng-Bin
40 Wang, Zhian
39 Chen, Yuming
39 Friedman, Avner
39 Stadler, Peter F.
39 Wang, Ke
38 Cheke, Robert A.
38 Liu, Xianning
38 Mackey, Michael Charles
38 Painter, Kevin J.
38 Yu, Jian-She
37 Cai, Yongli
37 Ducrot, Arnaud
37 Kar, Tapan Kumar
37 King, John Robert
37 Lam, King-Yeung
37 Liu, Qun
37 Zhang, Tailei
36 Dai, Binxiang
36 Du, Yihong
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37 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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