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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: 3,516 Publications (since 1974)
References Indexed: 2,967 Publications with 102,720 References.
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Latest Issues

88, No. 3 (2024)
88, No. 2 (2024)
88, No. 1 (2024)
87, No. 6 (2023)
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79, No. 1 (2019)
78, No. 7 (2019)
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78, No. 3 (2019)
78, No. 1-2 (2019)
77, No. 6-7 (2018)
77, No. 5 (2018)
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76, No. 7 (2018)
76, No. 6 (2018)
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76, No. 1-2 (2018)
75, No. 6-7 (2017)
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74, No. 7 (2017)
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73, No. 6-7 (2016)
73, No. 5 (2016)
73, No. 4 (2016)
73, No. 3 (2016)
73, No. 2 (2016)
73, No. 1 (2016)
72, No. 7 (2016)
72, No. 6 (2016)
72, No. 5 (2016)
72, No. 4 (2016)
72, No. 3 (2016)
72, No. 1-2 (2016)
71, No. 6-7 (2015)
71, No. 5 (2015)
...and 312 more Volumes
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Authors

31 Maini, Philip Kumar
29 Diekmann, Odo
29 Metz, Johan A. Jacob
28 van den Driessche, Pauline
26 Byrne, Helen Mary
24 Gyllenberg, Mats
24 Lewis, Mark Alun
21 King, John Robert
21 Mackey, Michael Charles
21 Othmer, Hans G.
20 Smith, Hal Leslie
19 Thieme, Horst R.
18 Cushing, Jim M.
18 Ruan, Shigui
18 Wang, Hao
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 Moulton, Vincent L.
14 Wolkowicz, Gail S. K.
13 Cosner, Chris
13 Gourley, Stephen A.
13 Griffiths, Robert C.
13 Hsu, Szebi
13 Keener, James P.
13 Liberman, Uri
13 Lou, Yuan
13 Perelson, Alan S.
13 Sherratt, Jonathan A.
13 Steel, Michael Anthony
12 Broom, Mark
12 Geritz, Stefan A. H.
12 Hellmuth, Marc
12 Hethcote, Herbert W.
12 Hofbauer, Josef
12 Lessard, Sabin
12 Mimura, Masayasu
12 Schreiber, Sebastian J.
11 Ermentrout, George Bard
11 Kuang, Yang
11 Li, Bingtuan
11 Méléard, Sylvie
11 Pugliese, Andrea
11 Semple, Charles
10 Baake, Ellen
10 Bürger, Reinhard
10 Cantrell, Robert Stephen
10 Feng, Zhilan
10 Hening, Alexandru
10 Notohara, Morihiro
10 Oster, George F.
10 Shi, Junping
10 Sleeman, Brian David
10 Webb, Glenn Francis
10 Weinberger, Hans Felix
10 Zhao, Xiao-Qiang
9 Ball, Frank G.
9 Cressman, Ross
9 Dieckmann, Ulf
9 Jin, Zhen
9 Kisdi, Éva
9 Kiss, István Z.
9 Lui, Roger
9 Roberts, Michael George
9 Wu, Jianhong
9 Zou, Xingfu
8 Alt, Wolfgang
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 Lam, King-Yeung
8 Ma, Junling
8 Preziosi, Luigi
8 Sumner, Jeremy G.
8 Tuljapurkar, Shripad D.
8 Vermolen, Fred J.
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.
...and 4,919 more Authors
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Fields

3,425 Biology and other natural sciences (92-XX)
756 Partial differential equations (35-XX)
745 Ordinary differential equations (34-XX)
636 Probability theory and stochastic processes (60-XX)
408 Dynamical systems and ergodic theory (37-XX)
274 Numerical analysis (65-XX)
174 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
164 Combinatorics (05-XX)
150 Systems theory; control (93-XX)
135 Statistics (62-XX)
125 Integral equations (45-XX)
101 Difference and functional equations (39-XX)
82 Calculus of variations and optimal control; optimization (49-XX)
59 Fluid mechanics (76-XX)
57 Operator theory (47-XX)
56 Operations research, mathematical programming (90-XX)
45 Statistical mechanics, structure of matter (82-XX)
42 Mechanics of deformable solids (74-XX)
41 Computer science (68-XX)
35 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 Functional analysis (46-XX)
9 Real functions (26-XX)
9 Approximations and expansions (41-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)
8 Optics, electromagnetic theory (78-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
6 General topology (54-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Geometry (51-XX)
4 Algebraic topology (55-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)
2 Mathematics education (97-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)

Publications by Year

Citations contained in zbMATH Open

2,842 Publications have been cited 47,452 times in 26,031 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.
859
2009
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh
378
1986
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
353
1992
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
323
1987
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
312
1998
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
281
1998
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
Dieckmann, Ulf; Law, Richard
276
1996
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
259
2002
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
248
1988
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
226
1998
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
223
2003
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
Bacaër, Nicolas; Guernaoui, Souad
215
2006
A non-local model for a swarm. Zbl 0940.92032
Mogilner, Alexander; Edelstein-Keshet, Leah
212
1999
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
210
1978
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
210
1989
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan
204
2002
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
204
2001
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
Tang, Sanyi; Chen, Lansun
195
2002
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
190
1989
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
182
2002
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
176
2011
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
172
1991
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
168
1992
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
164
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
163
2003
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
161
2005
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
158
1997
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
155
2001
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
153
1999
The dynamics of density dependent population models. Zbl 0379.92016
Guckenheimer, J.; Oster, G.; Ipaktchi, A.
153
1977
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
153
1999
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
152
1997
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
152
2011
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
151
1995
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
150
1998
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
148
1996
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
144
2005
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
142
2000
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
142
1982
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
139
2016
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
137
1980
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
133
1983
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
124
1990
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
Hallam, T. G.; Clark, C. E.; Jordan, G. S.
124
1983
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
122
1975
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
120
1997
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
120
1989
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
117
1975
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
115
2000
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
114
2014
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
114
2008
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.
113
2009
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
113
1981
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
112
1995
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
112
1994
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
110
1991
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
110
1983
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
109
2001
Geometric singular perturbation theory in biological practice. Zbl 1311.34133
Hek, Geertje
108
2010
Evolution of dispersal in open advective environments. Zbl 1307.35144
Lou, Yuan; Lutscher, Frithjof
106
2014
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
103
2001
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
101
1980
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
101
1984
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
100
1987
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.
99
1981
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
98
1991
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
98
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.
98
2001
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
97
1996
Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067
Liu, Meng; Bai, Chuanzhi
96
2016
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
94
1997
Persistence in population models with demographic fluctuations. Zbl 0606.92022
Hallam, Thomas G.; Zhien, Ma
93
1986
Modeling the role of viral disease in recurrent phytoplankton blooms. Zbl 0825.92122
Beltrami, Edward; Carroll, T. O.
93
1994
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
93
1996
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
93
1983
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
92
1981
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
92
1975
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
92
2001
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
91
1976
Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A.
91
2003
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
90
1979
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.
90
1989
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
89
2005
A delay differential equation model for tumor growth. Zbl 1023.92014
Villasana, Minaya; Radunskaya, Ami
89
2003
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.
89
1998
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
88
1992
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
87
2006
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
86
1991
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
85
1990
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
85
1980
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
84
2003
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
84
2003
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.
84
2001
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
84
2004
A model for the spatial spread of an epidemic. Zbl 0373.92031
Thieme, H. R.
83
1977
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
83
1985
Evolutionary game dynamics in a Wright-Fisher process. Zbl 1110.92028
Imhof, Lorens A.; Nowak, Martin A.
83
2006
The dynamics of cocirculating influenza strains conferring partial cross-immunity. Zbl 0874.92023
Andreasen, Viggo; Lin, Juan; Levin, Simon A.
83
1997
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S.
83
2011
A mathematical model for axonal transport of large cargo vesicles. Zbl 07782540
Rahman, Nizhum; Oelz, Dietmar B.
1
2024
General conditions for Turing and wave instabilities in reaction-diffusion systems. Zbl 1509.35133
Villar-Sepúlveda, Edgardo; Champneys, Alan R.
3
2023
Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping. Zbl 1512.35004
Wang, Hao; Salmaniw, Yurij
3
2023
Identifiability of local and global features of phylogenetic networks from average distances. Zbl 1505.92143
Xu, Jingcheng; Ané, Cécile
2
2023
A West Nile virus nonlocal model with free boundaries and seasonal succession. Zbl 1506.35283
Pu, Liqiong; Lin, Zhigui; Lou, Yuan
2
2023
Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States. Zbl 07713561
Vo, MyVan; Feng, Zhilan; Glasser, John W.; Clarke, Kristie E. N.; Jones, Jefferson N.
1
2023
A stochastic dynamical model for nosocomial infections with co-circulation of sensitive and resistant bacterial strains. Zbl 1524.92118
Wang, Lei; Teng, Zhidong; Huo, Xi; Wang, Kai; Feng, Xiaomei
1
2023
Strong biological correlations as a cause of autonomous oscillations in epidemics. Zbl 1520.92060
Dimaschko, J.; Shlyakhover, V.; Iabluchanskyi, M.
1
2023
Cannibalistic enemy-pest model: effect of additional food and harvesting. Zbl 1522.92088
Tripathi, Jai Prakash; Tripathi, Deepak; Mandal, Swarnendu; Shrimali, Manish Dev
1
2023
Impact of population size and movement on the persistence of a two-strain infectious disease. Zbl 1511.92088
Salako, Rachidi B.
1
2023
Population dynamics with resource-dependent dispersal: single- and two-species models. Zbl 1506.35115
Tang, De; Wang, Zhi-An
1
2023
Optimal vaccination: various (counter) intuitive examples. Zbl 1506.92055
Delmas, Jean-François; Dronnier, Dylan; Zitt, Pierre-André
1
2023
Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity. Zbl 1504.92094
Barendregt, Nicholas W.; Thomas, Peter J.
1
2023
Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment. Zbl 1509.35327
Zhao, Hongyong; Wang, Kai; Wang, Hao
1
2023
The arithmetic topology of genetic alignments. Zbl 1507.92067
Barrett, Christopher; Bura, Andrei; He, Qijun; Huang, Fenix; Reidys, Christian
1
2023
An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay. Zbl 1505.92125
Wang, Yan; Liu, Jun; Zhang, Xinhong; Heffernan, Jane M.
1
2023
Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy. Zbl 1507.92090
Deng, Jiawei; Shu, Hongying; Wang, Lin; Wang, Xiang-Sheng
1
2023
Accessibility percolation on Cartesian power graphs. Zbl 1515.92043
Schmiegelt, Benjamin; Krug, Joachim
1
2023
Relative prevalence-based dispersal in an epidemic patch model. Zbl 1508.92280
Lu, Min; Gao, Daozhou; Huang, Jicai; Wang, Hao
1
2023
Epidemic modeling with heterogeneity and social diffusion. Zbl 1511.92069
Berestycki, Henri; Desjardins, Benoît; Weitz, Joshua S.; Oury, Jean-Marc
1
2023
An SIR model with viral load-dependent transmission. Zbl 1512.35589
Della Marca, Rossella; Loy, Nadia; Tosin, Andrea
1
2023
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
Pell, Bruce; Brozak, Samantha; Phan, Tin; Wu, Fuqing; Kuang, Yang
1
2023
Perceptive movement of susceptible individuals with memory. Zbl 1512.92131
Zhang, Hua; Wang, Hao; Wei, Junjie
1
2023
Optimal vaccine allocation for the control of sexually transmitted infections. Zbl 1512.92046
Saldaña, Fernando; Steindorf, Vanessa; Srivastav, Akhil Kumar; Stollenwerk, Nico; Aguiar, Maíra
1
2023
A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035
Fralix, Brian; Holmes, Mark; Löpker, Andreas
1
2023
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data. Zbl 1521.92007
Lee, Seungjoon; Psarellis, Yorgos M.; Siettos, Constantinos I.; Kevrekidis, Ioannis G.
1
2023
Unifying incidence and prevalence under a time-varying general branching process. Zbl 1519.92292
Pakkanen, Mikko S.; Miscouridou, Xenia; Penn, Matthew J.; Whittaker, Charles; Berah, Tresnia; Mishra, Swapnil; Mellan, Thomas A.; Bhatt, Samir
1
2023
Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks. Zbl 1516.92111
Kiss, István Z.; Kenah, Eben; Rempała, Grzegorz A.
1
2023
Novel spatial profiles of some diffusive SIS epidemic models. Zbl 07770164
Peng, Rui; Wang, Zhi-An; Zhang, Guanghui; Zhou, Maolin
1
2023
On inverse problems for several coupled PDE systems arising in mathematical biology. Zbl 07782537
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
1
2023
A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 1489.34120
Yu, Jianshe; Li, Jia
13
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
11
2022
Global dynamics of a generalist predator-prey model in open advective environments. Zbl 1487.35059
Lou, Yuan; Nie, Hua
9
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
6
2022
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay. Zbl 1503.34158
Zheng, Bo
6
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
4
2022
Classes of explicit phylogenetic networks and their biological and mathematical significance. Zbl 1491.92088
Kong, Sungsik; Pons, Joan Carles; Kubatko, Laura; Wicke, Kristina
4
2022
Long-time behavior of a PDE replicator equation for multilevel selection in group-structured populations. Zbl 1497.92175
Cooney, Daniel B.; Mori, Yoichiro
4
2022
Efficiency functionals for the Lévy flight foraging hypothesis. Zbl 1498.92298
Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico
4
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
3
2022
A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change. Zbl 1492.35383
Wang, Xueying; Wu, Ruiwen; Zhao, Xiao-Qiang
3
2022
The dynamics of sexually transmitted diseases with men who have sex with men. Zbl 1486.34105
Zhang, Juping; Hao, Wenhui; Jin, Zhen
2
2022
Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. Zbl 1496.92041
Arino, Julien; Milliken, Evan
2
2022
Herd immunity under individual variation and reinfection. Zbl 1496.92120
Montalbán, Antonio; Corder, Rodrigo M.; Gomes, M. Gabriela M.
2
2022
Identifiability of species network topologies from genomic sequences using the logDet distance. Zbl 1486.92128
Allman, Elizabeth S.; Baños, Hector; Rhodes, John A.
2
2022
Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic. Zbl 1487.92043
Hubert, Emma; Mastrolia, Thibaut; Possamaï, Dylan; Warin, Xavier
2
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An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. Zbl 1498.92242
Pan, Qin; Huang, Jicai; Wang, Hao
2
2022
Foundations of static and dynamic absolute concentration robustness. Zbl 1498.92081
Joshi, Badal; Craciun, Gheorghe
2
2022
Wave speed and critical patch size for integro-difference equations with a strong Allee effect. Zbl 1504.92171
Li, Bingtuan; Otto, Garrett
2
2022
Bifurcation analysis for a single population model with advection. Zbl 1501.35044
Zhang, Hua; Wei, Junjie
2
2022
Vectorial crystallization problems and collective behavior. Zbl 1483.74004
De Luca, L.; Ninno, A.; Ponsiglione, M.
1
2022
Strong stochastic persistence of some Lévy-driven Lotka-Volterra systems. Zbl 1483.60098
Videla, Leonardo
1
2022
Structural identifiability analysis of age-structured PDE epidemic models. Zbl 1514.35443
Renardy, Marissa; Kirschner, Denise; Eisenberg, Marisa
1
2022
Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation. Zbl 1483.92058
Busse, Jan-Erik; Cuadrado, Sílvia; Marciniak-Czochra, Anna
1
2022
A new algebraic approach to genome rearrangement models. Zbl 1491.92085
Terauds, Venta; Sumner, Jeremy
1
2022
Enumeration of binary trees compatible with a perfect phylogeny. Zbl 1489.05073
Palacios, Julia A.; Bhaskar, Anand; Disanto, Filippo; Rosenberg, Noah A.
1
2022
Relating Eulerian and Lagrangian spatial models for vector-host disease dynamics through a fundamental matrix. Zbl 1493.92082
Vargas Bernal, Esteban; Saucedo, Omar; Tien, Joseph Hua
1
2022
Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model. Zbl 1515.37105
Ji, Juping; Lin, Genghong; Wang, Lin; Mai, Ali
1
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Tumor growth towards lower extracellular matrix conductivity regions under Darcy’s law and steady morphology. Zbl 1496.92014
Zheng, Xiaoming; Zhao, Kun; Jackson, Trachette; Lowengrub, John
1
2022
Feasibility of sparse large Lotka-Volterra ecosystems. Zbl 1508.92320
Akjouj, Imane; Najim, Jamal
1
2022
Global dynamics of a diffusive competition model with habitat degradation. Zbl 1492.35378
Salmaniw, Yurij; Shen, Zhongwei; Wang, Hao
1
2022
A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis. Zbl 1496.35399
Roy, Souvik; Pan, Zui; Pal, Suvra
1
2022
A stochastic Farris transform for genetic data under the multispecies coalescent with applications to data requirements. Zbl 1498.92130
Dasarathy, Gautam; Mossel, Elchanan; Nowak, Robert; Roch, Sebastien
1
2022
On the modelling of spatially heterogeneous nonlocal diffusion: deciding factors and preferential position of individuals. Zbl 1490.92004
Alfaro, Matthieu; Giletti, Thomas; Kim, Yong-Jung; Peltier, Gwenaël; Seo, Hyowon
1
2022
Population growth and competition models with decay and competition consistent delay. Zbl 1492.92062
Lin, Chiu-Ju; Hsu, Ting-Hao; Wolkowicz, Gail S. K.
1
2022
The effects of random and seasonal environmental fluctuations on optimal harvesting and stocking. Zbl 1490.92126
Hening, Alexandru; Ky Quan Tran; Ungureanu, Sergiu C.
1
2022
The structure of the genetic code as an optimal graph clustering problem. Zbl 1497.92171
Błażej, Paweł; Kowalski, Dariusz R.; Mackiewicz, Dorota; Wnetrzak, Małgorzata; Aloqalaa, Daniyah A.; Mackiewicz, Paweł
1
2022
Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species. Zbl 1497.92181
Scaramangas, Alan; Broom, Mark
1
2022
Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour. Zbl 1495.35146
Degond, Pierre; Hecht, Sophie; Romanos, Michèle; Trescases, Ariane
1
2022
Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. Zbl 1497.92302
Song, Pengfei; Xiao, Yanni
1
2022
The large-sample asymptotic behaviour of quartet-based summary methods for species tree inference. Zbl 1519.92142
Chan, Yao-ban; Li, Qiuyi; Scornavacca, Celine
1
2022
Dispersal-induced growth in a time-periodic environment. Zbl 1521.92070
Katriel, Guy
1
2022
An aggregation model of cockroaches with fast-or-slow motion dichotomy. Zbl 1498.92319
Eliaš, Ján; Izuhara, Hirofumi; Mimura, Masayasu; Tang, Bao Q.
1
2022
On the qualitative study of a two-trophic plant-herbivore model. Zbl 1498.92303
Khan, Muhammad Salman; Samreen, Maria; Ozair, Muhammad; Hussain, Takasar; Elsayed, E. M.; Gómez-Aguilar, J. F.
1
2022
Analysis of the onset of a regime shift and detecting early warning signs of major population changes in a two-trophic three-species predator-prey model with long-term transients. Zbl 1500.92094
Sadhu, Susmita
1
2022
Noise-driven bifurcations in a neural field system modelling networks of grid cells. Zbl 1500.92004
Carrillo, José A.; Holden, Helge; Solem, Susanne
1
2022
From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics. Zbl 1501.35410
Foutel-Rodier, Félix; Blanquart, François; Courau, Philibert; Czuppon, Peter; Duchamps, Jean-Jil; Gamblin, Jasmine; Kerdoncuff, Élise; Kulathinal, Rob; Régnier, Léo; Vuduc, Laura; Lambert, Amaury; Schertzer, Emmanuel
1
2022
A group theoretic approach to model comparison with simplicial representations. Zbl 1501.92036
Vittadello, Sean T.; Stumpf, Michael P. H.
1
2022
Spatial dynamics of a vegetation model with uptake-diffusion feedback in an arid environment. Zbl 1501.35417
Sun, Gui-Quan; Hou, Li-Feng; Li, Li; Jin, Zhen; Wang, Hao
1
2022
Permanence via invasion graphs: incorporating community assembly into modern coexistence theory. Zbl 1501.92113
Hofbauer, Josef; Schreiber, Sebastian J.
1
2022
A game-theoretic model of rabies in domestic dogs with multiple voluntary preventive measures. Zbl 1504.92075
Campo, Vince N.; Palacios, John Lawrence; Nagahashi, Hideo; Oh, Hyunju; Rychtář, Jan; Taylor, Dewey
1
2022
The influence of a transport process on the epidemic threshold. Zbl 1504.92141
Kuehn, Christian; Mölter, Jan
1
2022
An epidemic model with short-lived mixing groups. Zbl 1504.92113
Ball, Frank; Neal, Peter
1
2022
Spatial movement with distributed memory. Zbl 1461.35034
Shi, Qingyan; Shi, Junping; Wang, Hao
18
2021
On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107
Wang, Zhi-An; Xu, Jiao
14
2021
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
14
2021
Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
14
2021
Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029
Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L.
13
2021
Maximizing the total population with logistic growth in a patchy environment. Zbl 1456.49041
Nagahara, Kentaro; Lou, Yuan; Yanagida, Eiji
9
2021
Complete characterization of incorrect orthology assignments in best match graphs. Zbl 1460.92149
Schaller, David; Geiß, Manuela; Stadler, Peter F.; Hellmuth, Marc
9
2021
Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias. Zbl 1462.35419
Shi, Yangyang; Zhao, Hongyong
9
2021
Analysis of an age-structured tuberculosis model with treatment and relapse. Zbl 1466.92180
Guo, Zhong-Kai; Xiang, Hong; Huo, Hai-Feng
8
2021
Information geometry for phylogenetic trees. Zbl 1460.92141
Garba, M. K.; Nye, Tom M. W.; Lueg, J.; Huckemann, S. F.
7
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
6
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
6
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.
6
2021
Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. Zbl 1462.35415
Kumar, Pawan; Li, Jing; Surulescu, Christina
6
2021
Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change. Zbl 1462.92051
Schecter, Stephen
6
2021
A general theory of coexistence and extinction for stochastic ecological communities. Zbl 1466.92226
Hening, Alexandru; Nguyen, Dang H.; Chesson, Peter
6
2021
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention. Zbl 1467.92206
Ketcheson, David I.
6
2021
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Cited by 25,722 Authors

186 Chen, Lansun
170 Teng, Zhi-dong
116 Jin, Zhen
115 Li, Wan-Tong
112 Ruan, Shigui
104 Jiang, Daqing
100 Zhao, Xiao-Qiang
83 Wu, Jianhong
82 Lou, Yuan
82 Maini, Philip Kumar
81 Tang, Sanyi
81 Winkler, Michael
78 Chattopadhyay, Joydev
78 Takeuchi, Yasuhiro
77 Xu, Rui
75 Perthame, Benoît
75 Wang, Hao
73 Meng, Xinzhu
72 Byrne, Helen Mary
69 Shi, Junping
69 Zou, Xingfu
68 Li, Xuezhi
68 Shen, Wenxian
68 Wang, Wendi
67 Chaplain, Mark A. J.
67 Xiao, Yanni
66 Song, Xinyu
64 Carrillo de la Plata, José Antonio
62 Lewis, Mark Alun
62 Yuan, Sanling
61 Gumel, Abba B.
61 Kuang, Yang
60 Diekmann, Odo
60 van den Driessche, Pauline
60 Wang, Jinliang
59 Thieme, Horst R.
59 Wei, Junjie
57 Gyllenberg, Mats
57 Martcheva, Maia
56 Elaiw, Ahmed M.
56 Liu, Meng
56 Mu, Chunlai
56 Sun, Guiquan
55 Wang, Zhi Cheng
55 Zhang, Tonghua
53 Lin, Zhigui
52 Kang, Yun
52 Qiu, Zhipeng
52 Sherratt, Jonathan A.
52 Smith, Hal Leslie
51 Banerjee, Malay
51 Guo, Shangjiang
51 Kuniya, Toshikazu
51 Ma, Wanbiao
51 Wang, Weiming
50 Lin, Guo
50 Wang, Zhian
49 Samanta, Guru Prasad
48 Ha, Seung-Yeal
48 Yuan, Rong
47 Feng, Zhilan
47 Lutscher, Frithjof
47 Webb, Glenn Francis
47 Yu, Jian-She
46 Cushing, Jim M.
46 Gao, Shujing
46 Wang, Yuanshi
45 Allen, Linda J. S.
45 Bellomo, Nicola
45 Castillo-Chavez, Carlos
45 Cui, Jingan
45 Hayat, Tasawar
45 Li, Jia
44 Chen, Yuming
44 Volpert, Vitaly A.
44 Zhu, Huaiping
43 Huo, Hai-Feng
43 Simpson, Matthew J.
43 Venturino, Ezio
43 Wang, Feng-Bin
43 Wang, Mingxin
43 Yakubu, Abdul-Aziz
42 Banks, Harvey Thomas
42 Cosner, Chris
42 Hillen, Thomas
42 Liu, Shengqiang
42 Stadler, Peter F.
42 Tao, Youshan
41 Cheke, Robert A.
41 Dai, Binxiang
41 Ducrot, Arnaud
41 Freedman, Herbert Irving
41 Liu, Qun
41 Wang, Ke
40 Du, Yihong
40 Hadeler, Karl-Peter
40 Liu, Xianning
40 Ma, Zhien
39 Cai, Yongli
39 Friedman, Avner
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1,850 Journal of Mathematical Biology
1,326 Journal of Theoretical Biology
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729 Theoretical Population Biology
723 Applied Mathematics and Computation
722 Journal of Differential Equations
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565 Discrete and Continuous Dynamical Systems. Series B
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467 Chaos, Solitons and Fractals
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300 Physica D
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254 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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246 Mathematical Methods in the Applied Sciences
241 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
212 Applied Mathematics Letters
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187 SIAM Journal on Applied Mathematics
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171 Nonlinear Dynamics
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162 Journal of Difference Equations and Applications
157 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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155 Discrete and Continuous Dynamical Systems
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146 Abstract and Applied Analysis
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108 Acta Applicandae Mathematicae
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91 Communications on Pure and Applied Analysis
90 Journal of Mathematical Chemistry
87 Neural Computation
87 Discrete and Continuous Dynamical Systems. Series S
86 Journal of Statistical Physics
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82 European Journal of Applied Mathematics
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76 Differential Equations and Dynamical Systems
73 Applied Numerical Mathematics
72 Boundary Value Problems
70 Automatica
70 The Annals of Applied Probability
70 Complexity
65 Mathematical Population Studies
62 Rocky Mountain Journal of Mathematics
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59 Calculus of Variations and Partial Differential Equations
58 Computer Methods in Applied Mechanics and Engineering
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58 Japan Journal of Industrial and Applied Mathematics
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57 Mathematical Problems in Engineering
57 Qualitative Theory of Dynamical Systems
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51 Archive for Rational Mechanics and Analysis
51 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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49 International Journal of Applied and Computational Mathematics
48 Journal of Scientific Computing
48 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
48 Nonlinear Analysis. Hybrid Systems
46 Acta Mathematicae Applicatae Sinica. English Series
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45 Transactions of the American Mathematical Society
44 Journal of Fluid Mechanics
44 Journal of Functional Analysis
44 International Journal of Computer Mathematics
42 Communications in Partial Differential Equations
42 Dynamic Games and Applications
40 Networks and Heterogeneous Media
39 Ricerche di Matematica
39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
39 Journal of Computational Neuroscience
39 Comptes Rendus. Mathématique. Académie des Sciences, Paris
38 Journal of Optimization Theory and Applications
38 Kinetic and Related Models
38 The Journal of Mathematical Neuroscience
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