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Journal of Mathematical Biology

Short Title: J. Math. Biol.
Publisher: Springer, Berlin/Heidelberg
ISSN: 0303-6812; 1432-1416/e
Online: https://link.springer.com/journal/285/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 3,652 Publications (since 1974)
References Indexed: 3,102 Publications with 108,827 References.
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Latest Issues

90, No. 2 (2025)
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80, No. 1-2 (2020)
79, No. 6-7 (2019)
79, No. 5 (2019)
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79, No. 2 (2019)
79, No. 1 (2019)
78, No. 7 (2019)
78, No. 6 (2019)
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77, No. 6-7 (2018)
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75, No. 5 (2017)
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74, No. 7 (2017)
74, No. 6 (2017)
74, No. 5 (2017)
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74, No. 3 (2017)
74, No. 1-2 (2017)
73, No. 6-7 (2016)
73, No. 5 (2016)
73, No. 4 (2016)
...and 323 more Volumes
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Authors

31 Maini, Philip Kumar
30 Diekmann, Odo
29 Metz, Johan A. Jacob
28 van den Driessche, Pauline
26 Byrne, Helen Mary
25 Wang, Hao
24 Gyllenberg, Mats
24 Lewis, Mark Alun
21 King, John Robert
21 Mackey, Michael Charles
21 Othmer, Hans G.
20 Ruan, Shigui
20 Smith, Hal Leslie
20 Thieme, Horst R.
18 Cushing, Jim M.
17 Hadeler, Karl-Peter
17 Stadler, Peter F.
16 Levin, Simon Asher
16 Nagylaki, Thomas
15 Bacaër, Nicolas
15 Hillen, Thomas
15 Huber, Katharina T.
15 Lutscher, Frithjof
15 Murray, James Dickson
14 Chaplain, Mark A. J.
14 Edelstein-Keshet, Leah
14 Hastings, Alan Matthew
14 Lou, Yuan
14 Moulton, Vincent L.
14 Steel, Michael Anthony
14 Wolkowicz, Gail S. K.
13 Broom, Mark
13 Cosner, Chris
13 Gourley, Stephen A.
13 Griffiths, Robert C.
13 Hofbauer, Josef
13 Hsu, Szebi
13 Keener, James P.
13 Liberman, Uri
13 Perelson, Alan S.
13 Sherratt, Jonathan A.
12 Geritz, Stefan A. H.
12 Hellmuth, Marc
12 Hethcote, Herbert W.
12 Lessard, Sabin
12 Li, Bingtuan
12 Mimura, Masayasu
12 Schreiber, Sebastian J.
12 Semple, Charles
11 Ermentrout, George Bard
11 Kuang, Yang
11 Méléard, Sylvie
11 Pugliese, Andrea
11 Shi, Junping
10 Baake, Ellen
10 Bürger, Reinhard
10 Cantrell, Robert Stephen
10 Feng, Zhilan
10 Hening, Alexandru
10 Notohara, Morihiro
10 Painter, Kevin J.
10 Roberts, Michael George
10 Sleeman, Brian David
10 Webb, Glenn Francis
10 Weinberger, Hans Felix
10 Wu, Jianhong
10 Zhao, Xiao-Qiang
10 Zou, Xingfu
9 Ball, Frank G.
9 Cressman, Ross
9 Dieckmann, Ulf
9 Jin, Zhen
9 Kisdi, Éva
9 Kiss, István Z.
9 Lui, Roger
9 Oster, George F.
9 Sumner, Jeremy G.
8 Alt, Wolfgang
8 Calsina, Àngel
8 Castillo-Chavez, Carlos
8 Clote, Peter G.
8 Cooke, Kenneth L.
8 De Leenheer, Patrick
8 Francis, Andrew R.
8 Friedman, Avner
8 Hallam, Thomas G.
8 Heesterbeek, J. A. P.
8 Lam, King-Yeung
8 Ma, Junling
8 Preziosi, Luigi
8 Shu, Hongying
8 Tuljapurkar, Shripad D.
8 Vermolen, Fred J.
8 Wang, Lin
7 Allen, Linda J. S.
7 Banks, Harvey Thomas
7 Beretta, Edoardo
7 Brauer, Fred
7 Busenberg, Stavros N.
7 Capasso, Vincenzo
...and 5,128 more Authors
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Fields

3,562 Biology and other natural sciences (92-XX)
798 Partial differential equations (35-XX)
779 Ordinary differential equations (34-XX)
666 Probability theory and stochastic processes (60-XX)
433 Dynamical systems and ergodic theory (37-XX)
280 Numerical analysis (65-XX)
179 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
170 Combinatorics (05-XX)
151 Systems theory; control (93-XX)
140 Statistics (62-XX)
130 Integral equations (45-XX)
102 Difference and functional equations (39-XX)
86 Calculus of variations and optimal control; optimization (49-XX)
63 Fluid mechanics (76-XX)
58 Operations research, mathematical programming (90-XX)
57 Operator theory (47-XX)
47 Statistical mechanics, structure of matter (82-XX)
43 Mechanics of deformable solids (74-XX)
42 Computer science (68-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
21 Information and communication theory, circuits (94-XX)
19 Classical thermodynamics, heat transfer (80-XX)
18 Nonassociative rings and algebras (17-XX)
14 Group theory and generalizations (20-XX)
11 History and biography (01-XX)
10 Real functions (26-XX)
10 Approximations and expansions (41-XX)
10 Functional analysis (46-XX)
10 Optics, electromagnetic theory (78-XX)
9 Differential geometry (53-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Mechanics of particles and systems (70-XX)
8 Convex and discrete geometry (52-XX)
8 Manifolds and cell complexes (57-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 General topology (54-XX)
5 Algebraic topology (55-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Geometry (51-XX)
4 Quantum theory (81-XX)
3 Algebraic geometry (14-XX)
3 Special functions (33-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

3,028 Publications have been cited 54,055 times in 29,680 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.
996
2009
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh
429
1986
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
407
1992
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
358
1987
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
337
1998
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
330
1998
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
Dieckmann, Ulf; Law, Richard
297
1996
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
277
2002
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
273
1988
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
257
1998
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
257
2003
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
238
1978
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
Bacaër, Nicolas; Guernaoui, Souad
237
2006
A non-local model for a swarm. Zbl 0940.92032
Mogilner, Alexander; Edelstein-Keshet, Leah
234
1999
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan
231
2002
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
227
2011
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
225
1989
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
224
2001
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
222
1989
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
219
2016
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
Tang, Sanyi; Chen, Lansun
200
2002
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
195
1991
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
194
2002
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
190
2004
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
182
2003
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
181
1992
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
177
2011
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
173
1997
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
172
2005
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
172
1999
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
171
2001
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
170
1999
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
163
1998
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
163
1997
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
162
1995
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
157
1996
The dynamics of density dependent population models. Zbl 0379.92016
Guckenheimer, J.; Oster, G.; Ipaktchi, A.
156
1977
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
156
1982
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
155
2000
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
149
2005
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
148
1983
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
146
1980
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
Hallam, T. G.; Clark, C. E.; Jordan, G. S.
141
1983
Evolution of dispersal in open advective environments. Zbl 1307.35144
Lou, Yuan; Lutscher, Frithjof
140
2014
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
140
2014
Geometric singular perturbation theory in biological practice. Zbl 1311.34133
Hek, Geertje
134
2010
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
133
1989
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
132
2001
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
131
1975
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
130
2008
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
129
1995
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
128
1997
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
127
1990
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
125
2000
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
122
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.
122
2009
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
121
1975
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
120
1991
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
119
1981
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
116
1983
A delay differential equation model for tumor growth. Zbl 1023.92014
Villasana, Minaya; Radunskaya, Ami
112
2003
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
112
1975
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
111
2001
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
110
1984
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
110
1981
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
109
1996
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.
109
1981
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
108
2003
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
108
1991
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
108
1980
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
107
1987
Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067
Liu, Meng; Bai, Chuanzhi
107
2016
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
106
1996
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
105
2004
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
103
1997
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.
103
1989
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
102
1976
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.
99
2001
Persistence in population models with demographic fluctuations. Zbl 0606.92022
Hallam, Thomas G.; Zhien, Ma
99
1986
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
Beltrami, Edward; Carroll, T. O.
98
1994
Evolution of conditional dispersal: a reaction-diffusion-advection model. Zbl 1141.92040
Chen, Xinfu; Hambrock, Richard; Lou, Yuan
97
2008
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
97
2006
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
97
1979
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.
96
2001
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
96
2003
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
96
1991
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
96
1990
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
Imhof, Lorens A.; Nowak, Martin A.
96
2006
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
95
1983
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
94
2003
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S.
94
2011
A model for the spatial spread of an epidemic. Zbl 0373.92031
Thieme, H. R.
94
1977
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
93
2001
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
93
1992
Mathematical modeling of tumor-induced angiogenesis. Zbl 1109.92020
Mantzaris, Nikos V.; Webb, Steve; Othmer, Hans G.
92
2004
The threshold of survival for system of two species in polluted environment. Zbl 0745.92028
Liu, Huaping; Ma, Zhien
92
1991
An adaptive model for synchrony in the firefly Pteroptyx malaccae. Zbl 0719.92009
Ermentrout, B.
92
1991
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
91
1985
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
91
2005
Mutations make pandemics worse or better: modeling SARS-CoV-2 variants and imperfect vaccination. Zbl 1533.92196
Bugalia, Sarita; Tripathi, Jai Prakash; Wang, Hao
3
2024
Global stability and parameter analysis reinforce therapeutic targets of PD-L1-PD-1 and MDSCs for glioblastoma. Zbl 1530.92081
Anderson, Hannah G.; Takacs, Gregory P.; Harris, Duane C.; Kuang, Yang; Harrison, Jeffrey K.; Stepien, Tracy L.
3
2024
Quantifying the difference between phylogenetic diversity and diversity indices. Zbl 1533.92148
Bordewich, Magnus; Semple, Charles
2
2024
Calibration of agent based models for monophasic and biphasic tumour growth using approximate Bayesian computation. Zbl 1533.92053
Wang, Xiaoyu; Jenner, Adrianne L.; Salomone, Robert; Warne, David J.; Drovandi, Christopher
2
2024
Anomalous networks under the multispecies coalescent: theory and prevalence. Zbl 1533.92146
Ané, Cécile; Fogg, John; Allman, Elizabeth S.; Baños, Hector; Rhodes, John A.
2
2024
Final epidemic size of a two-community SIR model with asymmetric coupling. Zbl 1533.92204
Han, Zhimin; Wang, Yi; Gao, Shan; Sun, Guiquan; Wang, Hao
2
2024
The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche. Zbl 1547.35693
Dipierro, Serena; Proietti Lippi, Edoardo; Valdinoci, Enrico
2
2024
Phytoplankton-chytrid-zooplankton dynamics via a reaction-diffusion-advection mycoloop model. Zbl 07873586
Zhang, Jimin; Han, Xu; Wang, Hao
1
2024
Homeostasis in networks with multiple inputs. Zbl 1544.92070
Madeira, João Luiz de Oliveira; Antoneli, Fernando
1
2024
Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections. Zbl 1536.35178
Li, Zhimin; Zhao, Xiao-Qiang
1
2024
Modelling non-local cell-cell adhesion: a multiscale approach. Zbl 1540.35417
Zhigun, Anna; Rajendran, Mabel Lizzy
1
2024
Structural stability of invasion graphs for Lotka-Volterra systems. Zbl 1546.34104
Almaraz, Pablo; Kalita, Piotr; Langa, José A.; Soler-Toscano, Fernando
1
2024
Optimal vaccination ages for emerging infectious diseases under limited vaccine supply. Zbl 1530.92119
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A stochastic lipid structured model for macrophage dynamics in atherosclerotic plaques. Zbl 1529.92011
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The role of natural recovery category in malaria dynamics under saturated treatment. Zbl 1535.35016
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Three-stage modeling of HIV infection and implications for antiretroviral therapy. Zbl 1533.92120
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A mathematical model for axonal transport of large cargo vesicles. Zbl 1530.92028
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1
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Threshold behavior and exponential ergodicity of an SIR epidemic model: the impact of random jamming and hospital capacity. Zbl 1549.92083
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A time independent least squares algorithm for parameter identification of Turing patterns in reaction-diffusion systems. Zbl 1530.35127
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Exploring dynamics of plant-herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response. Zbl 1530.92192
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Coexistence in two-species competition with delayed maturation. Zbl 1532.34085
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Vector-borne disease models with Lagrangian approach. Zbl 1534.92073
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Stochastic transmission in epidemiological models. Zbl 1533.92186
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1
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The robustness of phylogenetic diversity indices to extinctions. Zbl 1540.92087
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Vector-borne disease outbreak control via instant releases. Zbl 07952143
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A West Nile virus nonlocal model with free boundaries and seasonal succession. Zbl 1506.35283
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Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment. Zbl 1509.35327
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9
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Human mobility and disease prevalence. Zbl 1519.92279
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8
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General conditions for Turing and wave instabilities in reaction-diffusion systems. Zbl 1509.35133
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An SIR model with viral load-dependent transmission. Zbl 1512.35589
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Rich dynamics of a bidirectionally linked immuno-epidemiological model for cholera. Zbl 1526.92017
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Perceptive movement of susceptible individuals with memory. Zbl 1512.92131
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6
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Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives. Zbl 1525.34077
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6
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A stochastic dynamical model for nosocomial infections with co-circulation of sensitive and resistant bacterial strains. Zbl 1524.92118
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On inverse problems for several coupled PDE systems arising in mathematical biology. Zbl 1529.35531
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Identifiability of local and global features of phylogenetic networks from average distances. Zbl 1505.92143
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The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models. Zbl 1522.92048
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Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations. Zbl 1530.91112
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Population dynamics with resource-dependent dispersal: single- and two-species models. Zbl 1506.35115
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An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay. Zbl 1505.92125
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Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy. Zbl 1507.92090
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Novel spatial profiles of some diffusive SIS epidemic models. Zbl 1529.35206
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The tree of blobs of a species network: identifiability under the coalescent. Zbl 1505.92135
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SIRC epidemic model with cross-immunity and multiple time delays. Zbl 1520.92063
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A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models. Zbl 1506.92088
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Ancestral reproductive bias in branching processes. Zbl 1511.60121
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A hierarchical intervention scheme based on epidemic severity in a community network. Zbl 1519.92258
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Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks. Zbl 1516.92111
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Low-rank tensor methods for Markov chains with applications to tumor progression models. Zbl 1505.92046
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The existence and stability of spikes in the one-dimensional Keller-Segel model with logistic growth. Zbl 1505.35021
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Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model. Zbl 1522.35519
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Optimal control of bioproduction in the presence of population heterogeneity. Zbl 1508.92086
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Relative prevalence-based dispersal in an epidemic patch model. Zbl 1508.92280
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Modeling tumour heterogeneity of PD-L1 expression in tumour progression and adaptive therapy. Zbl 1507.92047
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Mathematical analysis of topological and random \(m\)-order spread models. Zbl 1512.37057
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Epidemic modeling with heterogeneity and social diffusion. Zbl 1511.92069
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Geometry of fitness landscapes: peaks, shapes and universal positive epistasis. Zbl 1511.92045
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The emergence of a virus variant: dynamics of a competition model with cross-immunity time-delay validated by wastewater surveillance data for COVID-19. Zbl 1516.34121
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Fixation probability in evolutionary dynamics on switching temporal networks. Zbl 1526.92033
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An age-dependent immuno-epidemiological model with distributed recovery and death rates. Zbl 1510.35344
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Optimal vaccination: various (counter) intuitive examples. Zbl 1506.92055
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Accessibility percolation on Cartesian power graphs. Zbl 1515.92043
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Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. Zbl 1506.35008
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Optimal vaccine allocation for the control of sexually transmitted infections. Zbl 1512.92046
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A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035
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Global stability of latency-age/stage-structured epidemic models with differential infectivity. Zbl 1517.34111
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Exploring how ecological and epidemiological processes shape multi-host disease dynamics using global sensitivity analysis. Zbl 1518.92145
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Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach. Zbl 1512.35591
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Bifurcation analysis of critical values for wound closure outcomes in wound healing experiments. Zbl 1512.92014
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Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation. Zbl 1505.92254
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Inference on autoregulation in gene expression with variance-to-mean ratio. Zbl 1514.92067
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Treatment strategies for the latent tuberculosis infections. Zbl 1518.37082
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Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches. Zbl 1519.92307
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Nonlinear diffusion in multi-patch logistic model. Zbl 1521.37101
Elbetch, Bilel; Moussaoui, Ali
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Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth. Zbl 1518.35051
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Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanism. Zbl 1521.34060
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The impact of household structure on disease-induced herd immunity. Zbl 1530.92205
Ball, Frank; Critcher, Liam; Neal, Peter; Sirl, David
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A partially averaged system to model neuron responses to interferential current stimulation. Zbl 1508.92095
Cerpa, Eduardo; Courdurier, Matías; Hernández, Esteban; Medina, Leonel E.; Paduro, Esteban
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Asymptotic behavior of an epidemic model with infinitely many variants. Zbl 1523.34049
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Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment. Zbl 1521.60043
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Strong biological correlations as a cause of autonomous oscillations in epidemics. Zbl 1520.92060
Dimaschko, J.; Shlyakhover, V.; Iabluchanskyi, M.
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Forward hysteresis and Hopf bifurcation in an NPZD model with application to harmful algal blooms. Zbl 1520.92087
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Quasi-neutral dynamics in a coinfection system with \(N\) strains and asymmetries along multiple traits. Zbl 1527.37098
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The role of \(\mathrm{A}\beta\) and tau proteins in Alzheimer’s disease: a mathematical model on graphs. Zbl 1521.92034
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Parsimony and the rank of a flattening matrix. Zbl 1508.92177
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STDP-based associative memory formation and retrieval. Zbl 1508.91454
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Implications for infectious disease models of heterogeneous mixing on control thresholds. Zbl 1518.92147
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The speed of invasion in an advancing population. Zbl 1522.92046
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A comparison of mutation and amplification-driven resistance mechanisms and their impacts on tumor recurrence. Zbl 1522.92014
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Stochastic models of regulation of transcription in biological cells. Zbl 1523.92005
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Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment. Zbl 1530.92230
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192 Chen, Lansun
189 Teng, Zhi-dong
127 Jin, Zhen
125 Li, Wan-Tong
123 Jiang, Daqing
121 Ruan, Shigui
113 Wang, Hao
101 Zhao, Xiao-Qiang
94 Tang, Sanyi
91 Winkler, Michael
90 Wu, Jianhong
89 Maini, Philip Kumar
86 Lou, Yuan
84 Chattopadhyay, Joydev
84 Takeuchi, Yasuhiro
81 Xu, Rui
79 Meng, Xinzhu
79 Perthame, Benoît
76 Zou, Xingfu
75 Byrne, Helen Mary
74 Li, Xuezhi
73 Shen, Wenxian
73 Xiao, Yanni
71 Shi, Junping
71 Wang, Wendi
70 Carrillo de la Plata, José Antonio
70 Chaplain, Mark A. J.
70 Song, Xinyu
68 Wang, Jinliang
68 Wang, Zhicheng
68 Wei, Junjie
68 Yuan, Sanling
67 Banerjee, Malay
66 Gumel, Abba B.
65 Kuang, Yang
65 Lewis, Mark Alun
65 Sun, Guiquan
64 Diekmann, Odo
64 Elaiw, Ahmed M.
64 Zhang, Tonghua
63 Yu, Jian-She
62 Martcheva, Maia
62 Thieme, Horst R.
61 Lin, Zhigui
61 Mu, Chunlai
61 Samanta, Guru Prasad
60 Guo, Shangjiang
60 van den Driessche, Pauline
60 Wang, Zhian
59 Lin, Guo
59 Liu, Meng
58 Chen, Yuming
58 Gyllenberg, Mats
57 Ma, Wanbiao
56 Sherratt, Jonathan A.
55 Kang, Yun
55 Qiu, Zhipeng
54 Ha, Seung-Yeal
53 Hayat, Tasawar
53 Wang, Weiming
52 Kuniya, Toshikazu
52 Smith, Hal Leslie
52 Volpert, Vitaly A.
50 Allen, Linda J. S.
50 Feng, Zhilan
50 Lutscher, Frithjof
50 Yuan, Rong
49 Cao, Jinde
49 Cui, Jingan
49 Dai, Binxiang
49 Gao, Shujing
49 Huo, Hai-Feng
49 Simpson, Matthew J.
49 Song, Yongli
49 Venturino, Ezio
49 Wang, Mingxin
49 Wang, Yuanshi
49 Webb, Glenn Francis
49 Zhu, Huaiping
48 Kumar Upadhyay, Ranjit
47 Castillo-Chavez, Carlos
47 Hillen, Thomas
47 Liu, Shengqiang
47 Zhao, Hongyong
46 Du, Yihong
46 Lam, King-Yeung
46 Li, Jia
46 Liu, Qun
46 Liu, Xianning
46 Painter, Kevin J.
46 Stadler, Peter F.
46 Wang, Feng-Bin
45 Yakubu, Abdul-Aziz
44 Bellomo, Nicola
44 Cheke, Robert A.
44 Cosner, Chris
44 Cushing, Jim M.
44 Nie, Linfei
44 Yang, Junyuan
43 Chen, Fengde
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1,989 Journal of Mathematical Biology
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395 Physica D
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246 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
242 SIAM Journal on Applied Mathematics
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206 Journal of Dynamics and Differential Equations
201 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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174 Discrete Dynamics in Nature and Society
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63 Rocky Mountain Journal of Mathematics
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60 Mathematical Problems in Engineering
56 Journal de Mathématiques Pures et Appliquées. Neuvième Série
56 Natural Resource Modeling
55 Archive for Rational Mechanics and Analysis
53 Dynamic Games and Applications
52 Acta Mathematicae Applicatae Sinica. English Series
51 Nonlinear Analysis. Hybrid Systems
50 Ricerche di Matematica
50 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
49 Advances in Applied Probability
49 International Journal of Applied and Computational Mathematics
47 Journal of Functional Analysis
47 International Journal of Computer Mathematics
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