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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: 3,526 Publications (since 1974)
References Indexed: 2,977 Publications with 103,208 References.
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Latest Issues

88, No. 3 (2024)
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79, No. 1 (2019)
78, No. 7 (2019)
78, No. 6 (2019)
78, No. 5 (2019)
78, No. 4 (2019)
78, No. 3 (2019)
78, No. 1-2 (2019)
77, No. 6-7 (2018)
77, No. 5 (2018)
77, No. 4 (2018)
77, No. 3 (2018)
77, No. 2 (2018)
77, No. 1 (2018)
76, No. 7 (2018)
76, No. 6 (2018)
76, No. 5 (2018)
76, No. 4 (2018)
76, No. 3 (2018)
76, No. 1-2 (2018)
75, No. 6-7 (2017)
75, No. 5 (2017)
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74, No. 7 (2017)
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74, No. 1-2 (2017)
73, No. 6-7 (2016)
73, No. 5 (2016)
73, No. 4 (2016)
73, No. 3 (2016)
73, No. 2 (2016)
73, No. 1 (2016)
72, No. 7 (2016)
72, No. 6 (2016)
72, No. 5 (2016)
72, No. 4 (2016)
72, No. 3 (2016)
72, No. 1-2 (2016)
71, No. 6-7 (2015)
71, No. 5 (2015)
...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.
19 Wang, Hao
18 Cushing, Jim M.
18 Ruan, Shigui
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 Lessard, Sabin
12 Li, Bingtuan
12 Mimura, Masayasu
12 Schreiber, Sebastian J.
11 Ermentrout, George Bard
11 Kuang, Yang
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.
7 Eshel, Ilan
...and 4,933 more Authors
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Fields

3,436 Biology and other natural sciences (92-XX)
757 Partial differential equations (35-XX)
746 Ordinary differential equations (34-XX)
637 Probability theory and stochastic processes (60-XX)
412 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)
165 Combinatorics (05-XX)
150 Systems theory; control (93-XX)
136 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

2,885 Publications have been cited 48,864 times in 26,712 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.
890
2009
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models. Zbl 0582.92023
Liu, Wei-min; Levin, Simon A.; Iwasa, Yoh
391
1986
Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Zbl 0761.34039
Thieme, Horst R.
363
1992
Dynamical behavior of epidemiological models with nonlinear incidence rates. Zbl 0621.92014
Liu, Wei-min; Hethcote, Herbert W.; Levin, Simon A.
332
1987
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
317
1998
Modeling immunotherapy of the tumor – immune interaction. Zbl 0902.92012
Kirschner, Denise; Panetta, John Carl
288
1998
The dynamical theory of coevolution: A derivation from stochastic ecological processes. Zbl 0845.92013
Dieckmann, Ulf; Law, Richard
279
1996
On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036
Weinberger, Hans F.
265
2002
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
253
1988
The evolution of slow dispersal rates: a reaction diffusion model. Zbl 0921.92021
Dockery, Jack; Hutson, Vivian; Mischaikow, Konstantin; Pernarowski, Mark
234
1998
The evolution of dispersal. Zbl 1052.92042
Hutson, V.; Martinez, S.; Mischaikow, K.; Vickers, G. T.
231
2003
The epidemic threshold of vector-borne diseases with seasonality. Zbl 1098.92056
Bacaër, Nicolas; Guernaoui, Souad
222
2006
A non-local model for a swarm. Zbl 0940.92032
Mogilner, Alexander; Edelstein-Keshet, Leah
218
1999
Thresholds and travelling waves for the geographical spread of infection. Zbl 0415.92020
Diekmann, O.
216
1978
Predator-prey populations with parasitic infection. Zbl 0716.92021
Hadeler, K. P.; Freedman, H. I.
213
1989
Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040
Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan
209
2002
Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system. Zbl 0984.92035
Hsu, Sze-Bi; Hwang, Tzy-Wei; Kuang, Yang
207
2001
Local vs. non-local interactions in population dynamics. Zbl 0714.92012
Furter, J.; Grinfeld, M.
201
1989
Density-dependent birth rate, birth pulses and their population dynamic consequences. Zbl 0990.92033
Tang, Sanyi; Chen, Lansun
196
2002
A reaction-diffusion malaria model with incubation period in the vector population. Zbl 1232.92057
Lou, Yijun; Zhao, Xiao-Qiang
195
2011
Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031
Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F.
183
2002
Some epidemiological models with nonlinear incidence. Zbl 0722.92015
Hethcote, H. W.; van den Driessche, P.
177
1991
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
172
2004
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
171
1992
A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. Zbl 1023.92011
Culshaw, Rebecca V.; Webb, Glenn
169
2003
Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047
Berestycki, Henri; Hamel, François; Roques, Lionel
166
2005
Optimal control of the chemotherapy of HIV. Zbl 0876.92016
Kirschner, Denise; Lenhart, Suzanne; Serbin, Steve
160
1997
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
159
2001
Interaction of maturation delay and nonlinear birth in population and epidemic models. Zbl 0945.92016
Cooke, K.; van den Driessche, P.; Zou, X.
158
1999
Backwards bifurcations and catastrophe in simple models of fatal diseases. Zbl 0917.92022
Dushoff, Jonathan; Huang, Wenzhang; Castillo-Chavez, Carlos
157
1998
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
157
1995
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
157
1999
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
155
2011
Competitive exclusion in a vector-host model for the dengue fever. Zbl 0878.92025
Feng, Zhilan; Velasco-Hernández, Jorge X.
153
1997
The dynamics of density dependent population models. Zbl 0379.92016
Guckenheimer, J.; Oster, G.; Ipaktchi, A.
153
1977
Modelling the fear effect in predator-prey interactions. Zbl 1358.34058
Wang, Xiaoying; Zanette, Liana; Zou, Xingfu
153
2016
Analysis of an SEIRS epidemic model with two delays. Zbl 0865.92019
Cooke, K. L.; van den Driessche, P.
150
1996
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
147
2000
State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences. Zbl 1080.92067
Tang, Sanyi; Cheke, Robert A.
146
2005
A simplified neuron model as a principal component analyzer. Zbl 0488.92012
Oja, Erkki
144
1982
Biased random walk models for chemotaxis and related diffusion approximations. Zbl 0434.92001
Alt, Wolfgang
138
1980
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
136
1983
Effects of toxicants on populations: a qualitative approach II. First order kinetics. Zbl 0548.92019
Hallam, T. G.; Clark, C. E.; Jordan, G. S.
130
1983
Travelling fronts in nonlinear diffusion equations. Zbl 0343.92009
Hadeler, K. P.; Rothe, F.
125
1975
Analysis of a disease transmission model in a population with varying size. Zbl 0725.92021
Busenberg, S.; van den Driessche, P.
124
1990
To treat or not to treat: The case of tuberculosis. Zbl 0895.92024
Castillo-Chavez, Carlos; Feng, Zhilan
122
1997
A competitive exclusion principle for pathogen virulence. Zbl 0715.92027
Bremermann, H. J.; Thieme, H. R.
121
1989
A selection-migration model in population genetics. Zbl 0325.92009
Fleming, W. H.
119
1975
Competitive exclusion in a two-species chemotaxis model. Zbl 1319.92050
Stinner, C.; Tello, J. I.; Winkler, M.
118
2014
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.
118
2009
SIR dynamics in random networks with heterogeneous connectivity. Zbl 1143.92036
Volz, Erik
118
2008
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
117
2001
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
116
2000
Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006
Ruuth, Steven J.
115
1995
Competition systems with periodic coefficients: A geometric approach. Zbl 0474.92015
De Mottoni, Piero; Schiaffino, Andrea
114
1981
Chaos in three species food chains. Zbl 0823.92030
Klebanoff, Aaron; Hastings, Alan
113
1994
Competition for fluctuating nutrient. Zbl 0525.92024
Hale, J. K.; Somolinos, A. S.
111
1983
The effects of spatial heterogeneity in population dynamics. Zbl 0722.92018
Cantrell, R. S.; Cosner, C.
111
1991
Evolution of dispersal in open advective environments. Zbl 1307.35144
Lou, Yuan; Lutscher, Frithjof
111
2014
Geometric singular perturbation theory in biological practice. Zbl 1311.34133
Hek, Geertje
111
2010
On the stability of the cell size distribution. Zbl 0543.92021
Diekmann, O.; Heijmans, H. J. A. M.; Thieme, H. R.
104
1984
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
104
2001
Models for the effect of toxicant in single-species and predator-prey systems. Zbl 0825.92125
Freedman, H. I.; Shukla, J. B.
103
1991
Spatial segregation in competitive interaction-diffusion equations. Zbl 0425.92010
Mimura, Masayasu; Kawasaki, Kohkichi
102
1980
Coexistence for systems governed by difference equations of Lotka- Volterra type. Zbl 0638.92019
Hofbauer, J.; Hutson, V.; Jansen, W.
101
1987
Analysis of a stochastic tri-trophic food-chain model with harvesting. Zbl 1347.92067
Liu, Meng; Bai, Chuanzhi
101
2016
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
100
2003
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.
100
1981
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
98
1996
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.
98
1996
A delay differential equation model for tumor growth. Zbl 1023.92014
Villasana, Minaya; Radunskaya, Ami
96
2003
Isochrons and phaseless sets. Zbl 0345.92001
Guckenheimer, J.
96
1975
A generalized diffusion model for growth and dispersal in a population. Zbl 0474.92013
Cohen, Donald S.; Murray, James D.
95
1981
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. Zbl 0890.92021
Collings, John B.
95
1997
Infinite subharmonic bifurcation in an SEIR epidemic model. Zbl 0523.92020
Schwartz, Ira B.; Smith, H. L.
93
1983
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
Parametric analysis of the ratio-dependent predator-prey model. Zbl 0995.92043
Berezovskaya, F.; Karev, G.; Arditi, R.
93
2001
On the differential equations of species in competition. Zbl 0344.92009
Smale, S.
92
1976
Mutual interactions, potentials, and individual distance in a social aggregation. Zbl 1054.92053
Mogilner, A.; Edelstein-Keshet, L.; Bent, L.; Spiros, A.
92
2003
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
90
2005
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
90
1979
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
Persistence in fluctuating environments. Zbl 1232.92075
Schreiber, Sebastian J.; Benaïm, Michel; Atchadé, Kolawolé A. S.
89
2011
Threshold and stability results for an age-structured epidemic model. Zbl 0742.92019
Inaba, H.
89
1990
Disease transmission models with density-dependent demographics. Zbl 0774.92018
Gao, Linda Q.; Hethcote, Herbert W.
89
1992
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
89
1980
Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046
Martcheva, Maia; Thieme, Horst R.
88
2003
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
88
2006
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
88
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.
87
2001
Pontryagin’s principle for control problems in age-dependent population dynamics. Zbl 0599.92017
Brokate, Martin
87
1985
Multiple pulse interactions and averaging in systems of coupled neural oscillators. Zbl 0718.92004
Ermentrout, G. B.; Kopell, N.
86
1991
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
86
2004
A model for the spatial spread of an epidemic. Zbl 0373.92031
Thieme, H. R.
84
1977
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
A mathematical model for axonal transport of large cargo vesicles. Zbl 07782540
Rahman, Nizhum; Oelz, Dietmar B.
1
2024
Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping. Zbl 1512.35004
Wang, Hao; Salmaniw, Yurij
8
2023
Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment. Zbl 1509.35327
Zhao, Hongyong; Wang, Kai; Wang, Hao
5
2023
A West Nile virus nonlocal model with free boundaries and seasonal succession. Zbl 1506.35283
Pu, Liqiong; Lin, Zhigui; Lou, Yuan
4
2023
Perceptive movement of susceptible individuals with memory. Zbl 1512.92131
Zhang, Hua; Wang, Hao; Wei, Junjie
4
2023
Identifiability of local and global features of phylogenetic networks from average distances. Zbl 1505.92143
Xu, Jingcheng; Ané, Cécile
3
2023
General conditions for Turing and wave instabilities in reaction-diffusion systems. Zbl 1509.35133
Villar-Sepúlveda, Edgardo; Champneys, Alan R.
3
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.
2
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
2
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
Semigroup models for biochemical reaction networks. Zbl 1516.92137
Loutchko, Dimitri
1
2023
A Markovian arrival stream approach to stochastic gene expression in cells. Zbl 1515.92035
Fralix, Brian; Holmes, Mark; Löpker, Andreas
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
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Imperfect and Bogdanov-Takens bifurcations in biological models: from harvesting of species to isolation of infectives. Zbl 1525.34077
Ruan, Shigui; Xiao, Dongmei
1
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Analysis of metapopulation models of the transmission of SARS-CoV-2 in the United States. Zbl 1527.92068
Vo, MyVan; Feng, Zhilan; Glasser, John W.; Clarke, Kristie E. N.; Jones, Jefferson N.
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
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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
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Strong biological correlations as a cause of autonomous oscillations in epidemics. Zbl 1520.92060
Dimaschko, J.; Shlyakhover, V.; Iabluchanskyi, M.
1
2023
Impact of population size and movement on the persistence of a two-strain infectious disease. Zbl 1511.92088
Salako, Rachidi B.
1
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The tree of blobs of a species network: identifiability under the coalescent. Zbl 1505.92135
Allman, Elizabeth S.; Baños, Hector; Mitchell, Jonathan D.; Rhodes, John A.
1
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Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation. Zbl 1505.92254
Eigentler, L.; Sherratt, J. A.
1
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Population dynamics with resource-dependent dispersal: single- and two-species models. Zbl 1506.35115
Tang, De; Wang, Zhi-An
1
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Optimal vaccination: various (counter) intuitive examples. Zbl 1506.92055
Delmas, Jean-François; Dronnier, Dylan; Zitt, Pierre-André
1
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Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity. Zbl 1504.92094
Barendregt, Nicholas W.; Thomas, Peter J.
1
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Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model. Zbl 1512.34096
Ji, Juping; Milne, Russell; Wang, Hao
1
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The arithmetic topology of genetic alignments. Zbl 1507.92067
Barrett, Christopher; Bura, Andrei; He, Qijun; Huang, Fenix; Reidys, Christian
1
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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
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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
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Effects of dispersal rates in a two-stage reaction-diffusion system. Zbl 1505.92149
Cantrell, R. S.; Cosner, C.; Salako, R. B.
1
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Accessibility percolation on Cartesian power graphs. Zbl 1515.92043
Schmiegelt, Benjamin; Krug, Joachim
1
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Relative prevalence-based dispersal in an epidemic patch model. Zbl 1508.92280
Lu, Min; Gao, Daozhou; Huang, Jicai; Wang, Hao
1
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STDP-based associative memory formation and retrieval. Zbl 1508.91454
Yoon, Hong-Gyu; Kim, Pilwon
1
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Epidemic modeling with heterogeneity and social diffusion. Zbl 1511.92069
Berestycki, Henri; Desjardins, Benoît; Weitz, Joshua S.; Oury, Jean-Marc
1
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An SIR model with viral load-dependent transmission. Zbl 1512.35589
Della Marca, Rossella; Loy, Nadia; Tosin, Andrea
1
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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
Pell, Bruce; Brozak, Samantha; Phan, Tin; Wu, Fuqing; Kuang, Yang
1
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Ancestral reproductive bias in branching processes. Zbl 1511.60121
Cheek, David; Johnston, Samuel G. G.
1
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Inference on autoregulation in gene expression with variance-to-mean ratio. Zbl 1514.92067
Wang, Yue; He, Siqi
1
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Hybrid discrete-time-continuous-time models and a SARS CoV-2 mystery: sub-Saharan Africa’s low SARS CoV-2 disease burden. Zbl 1514.92163
Siewe, Nourridine; Yakubu, Abdul-Aziz
1
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Nonlinear diffusion in multi-patch logistic model. Zbl 1521.37101
Elbetch, Bilel; Moussaoui, Ali
1
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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
A delay suppression model with sterile mosquitoes release period equal to wild larvae maturation period. Zbl 1489.34120
Yu, Jianshe; Li, Jia
17
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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
16
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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
9
2022
Impact of releasing period and magnitude on mosquito population in a sterile release model with delay. Zbl 1503.34158
Zheng, Bo
9
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A reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior change. Zbl 1492.35383
Wang, Xueying; Wu, Ruiwen; Zhao, Xiao-Qiang
6
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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
6
2022
Classes of explicit phylogenetic networks and their biological and mathematical significance. Zbl 1491.92088
Kong, Sungsik; Pons, Joan Carles; Kubatko, Laura; Wicke, Kristina
5
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Herd immunity under individual variation and reinfection. Zbl 1496.92120
Montalbán, Antonio; Corder, Rodrigo M.; Gomes, M. Gabriela M.
5
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Efficiency functionals for the Lévy flight foraging hypothesis. Zbl 1498.92298
Dipierro, Serena; Giacomin, Giovanni; Valdinoci, Enrico
5
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Foundations of static and dynamic absolute concentration robustness. Zbl 1498.92081
Joshi, Badal; Craciun, Gheorghe
5
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Long-time behavior of a PDE replicator equation for multilevel selection in group-structured populations. Zbl 1497.92175
Cooney, Daniel B.; Mori, Yoichiro
4
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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
4
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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
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Incentives, lockdown, and testing: from Thucydides’ analysis to the COVID-19 pandemic. Zbl 1487.92043
Hubert, Emma; Mastrolia, Thibaut; Possamaï, Dylan; Warin, Xavier
3
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Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. Zbl 1497.92302
Song, Pengfei; Xiao, Yanni
3
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Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. Zbl 1501.35050
Giunta, Valeria; Hillen, Thomas; Lewis, Mark A.; Potts, Jonathan R.
3
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Wave speed and critical patch size for integro-difference equations with a strong Allee effect. Zbl 1504.92171
Li, Bingtuan; Otto, Garrett
3
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Bifurcation analysis for a single population model with advection. Zbl 1501.35044
Zhang, Hua; Wei, Junjie
3
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Identifiability of species network topologies from genomic sequences using the logDet distance. Zbl 1486.92128
Allman, Elizabeth S.; Baños, Hector; Rhodes, John A.
3
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The dynamics of sexually transmitted diseases with men who have sex with men. Zbl 1486.34105
Zhang, Juping; Hao, Wenhui; Jin, Zhen
2
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A new algebraic approach to genome rearrangement models. Zbl 1491.92085
Terauds, Venta; Sumner, Jeremy
2
2022
Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. Zbl 1496.92041
Arino, Julien; Milliken, Evan
2
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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
2
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Noise-driven bifurcations in a neural field system modelling networks of grid cells. Zbl 1500.92004
Carrillo, José A.; Holden, Helge; Solem, Susanne
2
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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
2
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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
2
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The influence of a transport process on the epidemic threshold. Zbl 1504.92141
Kuehn, Christian; Mölter, Jan
2
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An epidemic model with short-lived mixing groups. Zbl 1504.92113
Ball, Frank; Neal, Peter
2
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Strong stochastic persistence of some Lévy-driven Lotka-Volterra systems. Zbl 1483.60098
Videla, Leonardo
2
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Structural identifiability analysis of age-structured PDE epidemic models. Zbl 1514.35443
Renardy, Marissa; Kirschner, Denise; Eisenberg, Marisa
2
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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
2
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Ancestral state reconstruction with large numbers of sequences and edge-length estimation. Zbl 1493.92039
Ho, Lam Si Tung; Susko, Edward
2
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Population dynamics under climate change: persistence criterion and effects of fluctuations. Zbl 1486.92185
Shen, Wenxian; Shen, Zhongwei; Xue, Shuwen; Zhou, Dun
2
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A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes. Zbl 1478.92176
Baccelli, François; Ramesan, Nithin
1
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Vectorial crystallization problems and collective behavior. Zbl 1483.74004
De Luca, L.; Ninno, A.; Ponsiglione, M.
1
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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
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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
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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 impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study. Zbl 1502.37093
Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin
1
2022
Stochastic dynamics of an SIS epidemic on networks. Zbl 1491.92113
Jing, Xiaojie; Liu, Guirong; Jin, Zhen
1
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Enumeration of binary trees compatible with a perfect phylogeny. Zbl 1489.05073
Palacios, Julia A.; Bhaskar, Anand; Disanto, Filippo; Rosenberg, Noah A.
1
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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
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A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations. Zbl 1496.92015
Darrigade, Léo; Haghebaert, Marie; Cherbuy, Claire; Labarthe, Simon; Laroche, Beatrice
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
2022
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
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Feasibility of sparse large Lotka-Volterra ecosystems. Zbl 1508.92320
Akjouj, Imane; Najim, Jamal
1
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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
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Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality. Zbl 1497.92183
Yang, Yantao; Ma, Chaojing; Zu, Jian
1
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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
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
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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.
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The hybrid number of a ploidy profile. Zbl 1498.92133
Huber, K. T.; Maher, L. J.
1
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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
Operating diagrams for a three-tiered microbial food web in the chemostat. Zbl 1506.34066
Nouaoura, Sarra; Fekih-Salem, Radhouane; Abdellatif, Nahla; Sari, Tewfik
1
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A group theoretic approach to model comparison with simplicial representations. Zbl 1501.92036
Vittadello, Sean T.; Stumpf, Michael P. H.
1
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186 Chen, Lansun
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85 Tang, Sanyi
84 Wang, Hao
84 Wu, Jianhong
83 Lou, Yuan
82 Maini, Philip Kumar
82 Winkler, Michael
79 Chattopadhyay, Joydev
78 Takeuchi, Yasuhiro
78 Xu, Rui
77 Perthame, Benoît
75 Meng, Xinzhu
74 Byrne, Helen Mary
71 Shi, Junping
70 Li, Xuezhi
70 Shen, Wenxian
69 Zou, Xingfu
68 Chaplain, Mark A. J.
68 Wang, Wendi
67 Song, Xinyu
67 Xiao, Yanni
65 Carrillo de la Plata, José Antonio
63 Gumel, Abba B.
63 Yuan, Sanling
62 Kuang, Yang
62 Lewis, Mark Alun
62 Wang, Jinliang
61 Diekmann, Odo
60 van den Driessche, Pauline
60 Wei, Junjie
59 Martcheva, Maia
59 Thieme, Horst R.
58 Elaiw, Ahmed M.
58 Gyllenberg, Mats
58 Mu, Chunlai
58 Sun, Guiquan
56 Liu, Meng
56 Wang, Zhi Cheng
55 Zhang, Tonghua
53 Banerjee, Malay
53 Guo, Shangjiang
53 Kang, Yun
53 Lin, Zhigui
53 Qiu, Zhipeng
53 Wang, Zhian
52 Kuniya, Toshikazu
52 Lin, Guo
52 Sherratt, Jonathan A.
52 Smith, Hal Leslie
52 Wang, Weiming
51 Ma, Wanbiao
50 Ha, Seung-Yeal
50 Yu, Jian-She
49 Samanta, Guru Prasad
48 Feng, Zhilan
48 Gao, Shujing
48 Lutscher, Frithjof
48 Webb, Glenn Francis
48 Yuan, Rong
47 Cui, Jingan
46 Allen, Linda J. S.
46 Chen, Yuming
46 Hayat, Tasawar
46 Wang, Yuanshi
45 Bellomo, Nicola
45 Castillo-Chavez, Carlos
45 Li, Jia
45 Simpson, Matthew J.
45 Volpert, Vitaly A.
45 Wang, Mingxin
45 Zhu, Huaiping
44 Venturino, Ezio
44 Yakubu, Abdul-Aziz
43 Huo, Hai-Feng
43 Song, Yongli
43 Stadler, Peter F.
43 Wang, Feng-Bin
42 Banks, Harvey Thomas
42 Cosner, Chris
42 Cushing, Jim M.
42 Dai, Binxiang
42 Ducrot, Arnaud
42 Hillen, Thomas
42 Liu, Shengqiang
42 Tao, Youshan
42 Zhang, Tailei
41 Cheke, Robert A.
41 Du, Yihong
41 Freedman, Herbert Irving
41 Lam, King-Yeung
41 Liu, Qun
41 Liu, Xianning
41 Wang, Ke
40 Cai, Yongli
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42 Communications in Partial Differential Equations
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41 Networks and Heterogeneous Media
40 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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