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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: 3,227 Publications (since 1974)
References Indexed: 2,681 Publications with 89,448 References.
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Latest Issues

84, No. 7 (2022)
84, No. 6 (2022)
84, No. 5 (2022)
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74, No. 7 (2017)
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73, No. 6-7 (2016)
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72, No. 7 (2016)
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71, No. 6-7 (2015)
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70, No. 7 (2015)
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70, No. 1-2 (2015)
69, No. 6-7 (2014)
69, No. 5 (2014)
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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
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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
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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

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 0726.92018
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.
694
2009
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh
308
1986
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
289
1998
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
288
1992
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
280
1987
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
Dieckmann, Ulf; Law, Richard
253
1996
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
234
1998
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
225
2002
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
221
1988
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
Tang, Sanyi; Chen, Lansun
187
2002
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
185
1998
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
185
2001
A non-local model for a swarm. Zbl 0940.92032
Mogilner, Alexander; Edelstein-Keshet, Leah
184
1999
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
184
1989
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
Bacaër, Nicolas; Guernaoui, Souad
183
2006
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
179
2003
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan
176
2002
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
175
1978
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
153
1989
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
150
1991
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
148
1992
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
147
2002
The dynamics of density dependent population models. Zbl 0379.92016
Guckenheimer, J.; Oster, G.; Ipaktchi, A.
147
1977
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
144
2001
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
142
2004
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
141
1997
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
139
2003
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
138
1998
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
138
2005
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
138
1999
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
136
1999
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
129
1997
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
128
1996
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
127
2005
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
127
1982
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
126
1980
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
126
2011
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
126
1995
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
120
2000
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
119
2011
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
117
1983
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
116
1990
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
111
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.
111
1983
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
110
1981
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
108
1989
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
108
2000
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
107
1983
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
105
1975
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
100
1994
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
99
1975
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
97
2001
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.
96
2009
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
96
1984
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
95
1991
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.
94
2001
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
94
2008
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
93
2003
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
93
1987
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
90
2001
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
90
2014
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
89
1996
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
89
1995
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
89
1991
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
Beltrami, Edward; Carroll, T. O.
88
1994
Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A.
86
2003
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
86
1980
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
85
2001
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
85
1979
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
85
1983
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.
84
1998
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
84
1996
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, 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 0468.92016
Capasso, V.; Maddalena, L.
84
1981
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
83
1991
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
82
1976
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
82
1975
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
82
1980
Geometric singular perturbation theory in biological practice. Zbl 1311.34133
Hek, Geertje
81
2010
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
81
2005
Persistence in population models with demographic fluctuations. Zbl 0606.92022
Hallam, Thomas G.; Zhien, Ma
81
1986
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.
80
1989
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
79
2006
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.
78
2001
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
78
1997
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
78
2004
Discrete-time travelling waves: Ecological examples. Zbl 0825.92126
Kot, Mark
77
1992
Global stability in two species interactions. Zbl 0362.92013
Goh, B. S.
76
1976
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
Imhof, Lorens A.; Nowak, Martin A.
76
2006
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
75
1990
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
74
2003
A delayed-recruitment model of population dynamics, with an application to baleen whale populations. Zbl 0337.92011
Clark, C. W.
74
1976
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
74
1985
Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067
Liu, Meng; Bai, Chuanzhi
74
2016
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
73
2003
Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020
Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G.
73
2004
A model for the spatial spread of an epidemic. Zbl 0373.92031
Thieme, H. R.
73
1977
The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023
Andreasen, Viggo; Lin, Juan; Levin, Simon A.
72
1997
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
72
2016
A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 07471424
Yu, Jianshe; Li, Jia
1
2022
Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029
Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L.
6
2021
Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149
Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
5
2021
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
5
2021
Spatial movement with distributed memory. Zbl 1461.35034
Shi, Qingyan; Shi, Junping; Wang, Hao
4
2021
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
3
2021
On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107
Wang, Zhi-An; Xu, Jiao
3
2021
Information geometry for phylogenetic trees. Zbl 1460.92141
Garba, 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 1466.34046
Feng, Tao; Charbonneau, Daniel; Qiu, Zhipeng; Kang, Yun
3
2021
A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226
Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter
3
2021
The structure of infinitesimal homeostasis in input-output networks. Zbl 1467.92083
Wang, Yangyang; Huang, Zhengyuan; Antoneli, Fernando; Golubitsky, Martin
3
2021
Distinguishing level-1 phylogenetic networks on the basis of data generated by Markov processes. Zbl 1471.92236
Gross, Elizabeth; van Iersel, Leo; Janssen, Remie; Jones, Mark; Long, Colby; Murakami, Yukihiro
2
2021
Unbounded solutions of models for glycolysis. Zbl 1457.92057
Brechmann, Pia; Rendall, Alan D.
2
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Analytic solutions for stochastic hybrid models of gene regulatory networks. Zbl 1459.35362
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena
2
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Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
2
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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
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Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias. Zbl 1462.35419
Shi, Yangyang; Zhao, Hongyong
2
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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.
2
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Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. Zbl 1462.35415
Kumar, Pawan; Li, Jing; Surulescu, Christina
2
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A delay model for persistent viral infections in replicating cells. Zbl 1466.92032
Gulbudak, Hayriye; Salceanu, Paul L.; Wolkowicz, Gail S. K.
2
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Stationary distributions of persistent ecological systems. Zbl 1467.92241
Hening, Alexandru; Li, Yao
2
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Trinets encode orchard phylogenetic networks. Zbl 1471.92237
Semple, Charles; Toft, Gerry
1
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A dual process for the coupled Wright-Fisher diffusion. Zbl 1465.92068
Favero, Martina; Hult, Henrik; Koski, Timo
1
2021
Computing nearest neighbour interchange distances between ranked phylogenetic trees. Zbl 07303133
Collienne, Lena; Gavryushkin, Alex
1
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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
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Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention. Zbl 1467.92206
Ketcheson, David I.
1
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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
1
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A branching process model for dormancy and seed banks in randomly fluctuating environments. Zbl 1468.92053
Blath, Jochen; Hermann, Felix; Slowik, Martin
1
2021
Discrete-time population dynamics of spatially distributed semelparous two-sex populations. Zbl 1470.92266
Thieme, Horst R.
1
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An alternative delayed population growth difference equation model. Zbl 1472.39035
Streipert, Sabrina H.; Wolkowicz, Gail S. K.
1
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Fixation probabilities in evolutionary dynamics under weak selection. Zbl 1460.92144
McAvoy, 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 1460.92125
Youlden, George H.; Ricci, Vito; Wang-Kan, Xuan; Piddock, Laura J. V.; Jabbari, Sara; King, John R.
1
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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.
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
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Towards a replicator dynamics model of age structured populations. Zbl 1465.92073
Argasinski, Krzysztof; Broom, Mark
1
2021
Analysis of an age-structured tuberculosis model with treatment and relapse. Zbl 1466.92180
Guo, Zhong-Kai; Xiang, Hong; Huo, Hai-Feng
1
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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
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Stationary distributions via decomposition of stochastic reaction networks. Zbl 1478.92265
Hoessly, Linard
1
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Haldane’s formula in Cannings models: the case of moderately strong selection. Zbl 1479.60150
Boenkost, 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 1432.92020
Loy, Nadia; Preziosi, Luigi
12
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.
9
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
Reciprocal best match graphs. Zbl 1433.05303
Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
7
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
7
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
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
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
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
Infinitesimal homeostasis in three-node input-output networks. Zbl 1436.92009
Golubitsky, Martin; Wang, Yangyang
5
2020
The competitive exclusion principle in stochastic environments. Zbl 1435.92092
Hening, Alexandru; Nguyen, Dang H.
5
2020
Joining and decomposing reaction networks. Zbl 1439.13080
Gross, 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 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
5
2020
Harvesting and seeding of stochastic populations: analysis and numerical approximation. Zbl 1441.91055
Hening, Alexandru; Tran, Ky Quan
4
2020
Mixture distributions in a stochastic gene expression model with delayed feedback: a WKB approximation approach. Zbl 1447.92132
Bokes, Pavol; Borri, Alessandro; Palumbo, Pasquale; Singh, Abhyudai
4
2020
Resident-invader dynamics of similar strategies in fluctuating environments. Zbl 1454.34069
Cai, Yuhua; Geritz, Stefan A. H.
4
2020
Caterpillars on three and four leaves are sufficient to binary normal networks. Zbl 1451.92225
Linz, Simone; Semple, Charles
4
2020
Evolution of dispersal in spatial population models with multiple timescales. Zbl 1433.92028
Cantrell, 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 1432.92071
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
4
2020
Finite dimensional state representation of physiologically structured populations. Zbl 1433.92034
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J.
4
2020
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
4
2020
Basic reproduction ratios for periodic and time-delayed compartmental models with impulses. Zbl 1440.34086
Bai, Zhenguo; Zhao, Xiao-Qiang
4
2020
Modelling physical limits of migration by a kinetic model with non-local sensing. Zbl 1434.92014
Loy, Nadia; Preziosi, Luigi
4
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
3
2020
Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control. Zbl 1448.34106
Zhang, Xianghong; Liu, Qiyong; Zhu, Huaiping
3
2020
Population abundance of two-patch competitive systems with asymmetric dispersal. Zbl 1448.34102
Wang, 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 1458.35422
Eckardt, Maria; Painter, Kevin J.; Surulescu, Christina; Zhigun, Anna
3
2020
Counting phylogenetic networks of level 1 and 2. Zbl 1455.05006
Bouvel, Mathilde; Gambette, Philippe; Mansouri, Marefatollah
3
2020
Invasion analysis on a predator-prey system in open advective environments. Zbl 1458.35427
Nie, Hua; Wang, Biao; Wu, Jianhua
3
2020
Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior. Zbl 1433.92066
Maciel, Gabriel; Cosner, Chris; Cantrell, Robert Stephen; Lutscher, Frithjof
3
2020
Inside dynamics for stage-structured integrodifference equations. Zbl 1433.37083
Marculis, Nathan G.; Garnier, Jimmy; Lui, Roger; Lewis, Mark A.
3
2020
Modelling collective cell migration: neural crest as a model paradigm. Zbl 1432.92016
Giniūnaitė, Rasa; Baker, Ruth E.; Kulesa, Paul M.; Maini, Philip K.
3
2020
Global dynamics of SIR model with switched transmission rate. Zbl 1440.34044
Chladná, Zuzana; Kopfová, Jana; Rachinskii, Dmitrii; Rouf, Samiha C.
3
2020
Localized outbreaks in an S-I-R model with diffusion. Zbl 1439.35490
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore
3
2020
Cannings models, population size changes and multiple-merger coalescents. Zbl 1451.92252
Freund, Fabian
3
2020
Canard-induced complex oscillations in an excitatory network. Zbl 1472.34091
Köksal Ersöz, Elif; Desroches, Mathieu; Guillamon, Antoni; Rinzel, John; Tabak, Joël
3
2020
A cell-cell repulsion model on a hyperbolic Keller-Segel equation. Zbl 1437.92018
Fu, Xiaoming; Griette, Quentin; Magal, Pierre
3
2020
Distribution of extreme first passage times of diffusion. Zbl 1456.92007
Lawley, Sean D.
3
2020
Analysis and optimal control of an HIV model based on CD4 count. Zbl 1447.92432
Ishaku, A.; Gazali, A. M.; Abdullahi, S. A.; Hussaini, N.
2
2020
Modeling the role of macrophages in HIV persistence during antiretroviral therapy. Zbl 1447.37081
Guo, Ting; Qiu, Zhipeng; Rong, Libin
2
2020
Populations in environments with a soft carrying capacity are eventually extinct. Zbl 1451.92257
Jagers, Peter; Zuyev, Sergei
2
2020
Influence of a road on a population in an ecological niche facing climate change. Zbl 1451.35228
Berestycki, Henri; Ducasse, Romain; Rossi, Luca
2
2020
The winner takes it all: how semelparous insects can become periodical. Zbl 1437.37117
Diekmann, Odo; Planqué, Robert
2
2020
Modelling chase-and-run migration in heterogeneous populations. Zbl 1432.92014
Colombi, 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 1440.34051
Wang, Bin-Guo; Qiang, Lizhong; Wang, Zhi-Cheng
2
2020
Level-1 phylogenetic networks and their balanced minimum evolution polytopes. Zbl 1440.90021
Durell, Cassandra; Forcey, Stefan
2
2020
Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level. Zbl 1439.92174
Gulbudak, 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 1434.35260
Seirin-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 1444.92080
Berardo, Cecilia; Geritz, Stefan; Gyllenberg, Mats; Raoul, Gaël
2
2020
Continuous and discrete modeling of HIV-1 decline on therapy. Zbl 1448.34166
Akın, Elvan; Yeni, Gülşah; Perelson, Alan S.
1
2020
Optimal open-loop desynchronization of neural oscillator populations. Zbl 1447.92208
Wilson, Dan
1
2020
Long-lasting insecticidal nets and the quest for malaria eradication: a mathematical modeling approach. Zbl 1447.92218
Enahoro, 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 1437.91073
Ferreira, 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 1444.92088
Guo, Qian; He, Xiaoqing; Ni, Wei-Ming
1
2020
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120
Allen, E. J.; Allen, L. J. S.; Smith, H. L.
1
2020
Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128
Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud
1
2020
Target reproduction numbers for reaction-diffusion population models. Zbl 1445.35214
Wang, Xueying; Zhao, Xiao-Qiang
1
2020
A multiphase model of growth factor-regulated atherosclerotic cap formation. Zbl 1448.92066
Watson, Michael G.; Byrne, Helen M.; Macaskill, Charlie; Myerscough, Mary R.
1
2020
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186 Chen, Lansun
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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. J.
67 Wang, Wendi
66 Perthame, Benoît
65 Song, Xinyu
64 Chattopadhyay, Joydev
64 Meng, Xinzhu
63 Shi, Junping
62 Li, Xuezhi
61 Byrne, Helen Mary
61 Shen, Wenxian
61 Zou, Xingfu
60 Gumel, Abba B.
60 Wu, Jianhong
59 Thieme, Horst R.
58 Diekmann, Odo
57 Carrillo de la Plata, José Antonio
57 Kuang, Yang
57 Lewis, Mark Alun
56 Gyllenberg, Mats
56 Xiao, Yanni
55 van den Driessche, Pauline
55 Wei, Junjie
53 Martcheva, Maia
52 Smith, Hal Leslie
51 Liu, Meng
50 Sherratt, Jonathan A.
50 Yuan, Sanling
49 Mu, Chunlai
48 Elaiw, Ahmed M.
47 Wang, Jinliang
46 Qiu, Zhipeng
45 Lin, Zhigui
44 Cushing, Jim M.
44 Ha, Seung-Yeal
44 Kang, Yun
44 Lutscher, Frithjof
44 Ma, Wanbiao
44 Webb, Glenn Francis
44 Yuan, Rong
43 Allen, Linda J. S.
43 Bellomo, Nicola
43 Castillo-Chavez, Carlos
43 Cui, Jingan
43 Feng, Zhilan
43 Guo, Shangjiang
43 Sun, Guiquan
43 Yakubu, Abdul-Aziz
42 Banks, Harvey Thomas
42 Kuniya, Toshikazu
42 Samanta, Guru Prasad
42 Wang, Yuanshi
41 Freedman, Herbert Irving
41 Wang, Weiming
41 Zhang, Tonghua
40 Banerjee, Malay
40 Cosner, Chris
40 Hadeler, Karl-Peter
40 Ma, Zhien
40 Mackey, Michael Charles
40 Volpert, Vitaly A.
39 Gao, Shujing
39 Lin, Guo
39 Liu, Shengqiang
39 Wang, Feng-Bin
39 Wang, Ke
39 Wang, Zhi Cheng
38 Friedman, Avner
38 Venturino, Ezio
38 Wang, Zhian
38 Zhu, Huaiping
37 Cheke, Robert A.
37 Hillen, Thomas
37 King, John Robert
37 Liu, Xianning
37 Painter, Kevin J.
37 Simpson, Matthew J.
37 Stadler, Peter F.
36 Du, Yihong
36 Ducrot, Arnaud
36 Kar, Tapan Kumar
36 Nowak, Martin Andreas
36 Tao, Youshan
35 Lam, King-Yeung
35 Zhang, Tailei
34 Ackleh, Azmy S.
34 Cai, Liming
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