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Bulletin of Mathematical Biology

A Journal Devoted to Research at the Junction of Computational, Theoretical and Experimental Biology. Official Journal of The Society for Mathematical Biology

Short Title: Bull. Math. Biol.
Publisher: Springer US, New York, NY
ISSN: 0092-8240; 1522-9602/e
Online: http://link.springer.com/journal/volumesAndIssues/11538
http://www.sciencedirect.com/science/journal/00928240
Predecessor: The Bulletin of Mathematical Biophysics
Comments: Indexed cover-to-cover
Documents Indexed: 3,596 Publications (since 1973)
References Indexed: 2,957 Publications with 105,380 References.
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Latest Issues

85, No. 4 (2023)
85, No. 3 (2023)
85, No. 2 (2023)
85, No. 1 (2023)
84, No. 12 (2022)
84, No. 11 (2022)
84, No. 10 (2022)
84, No. 9 (2022)
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81, No. 12 (2019)
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81, No. 1 (2019)
80, No. 12 (2018)
80, No. 11 (2018)
80, No. 10 (2018)
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80, No. 1 (2018)
79, No. 12 (2017)
79, No. 11 (2017)
79, No. 10 (2017)
79, No. 9 (2017)
79, No. 8 (2017)
79, No. 7 (2017)
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79, No. 5 (2017)
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79, No. 1 (2017)
78, No. 12 (2016)
78, No. 11 (2016)
78, No. 10 (2016)
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78, No. 3 (2016)
78, No. 2 (2016)
78, No. 1 (2016)
77, No. 12 (2015)
77, No. 11 (2015)
77, No. 10 (2015)
77, No. 9 (2015)
77, No. 8 (2015)
77, No. 7 (2015)
77, No. 6 (2015)
77, No. 5 (2015)
77, No. 4 (2015)
77, No. 3 (2015)
77, No. 2 (2015)
77, No. 1 (2015)
...and 205 more Volumes
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Authors

40 Maini, Philip Kumar
33 Lewis, Mark Alun
24 Perelson, Alan S.
23 Gaffney, Eamonn A.
22 Byrne, Helen Mary
20 Rosen, Gerald
19 Sherratt, Jonathan A.
17 King, John Robert
17 Simpson, Matthew J.
16 Chaplain, Mark A. J.
16 Edelstein-Keshet, Leah
16 Mcelwain, D. L. Sean
16 Powell, James A.
15 Britton, Nicholas Ferris
15 Kim, Peter S.
15 Levy, Doron
15 van den Driessche, Pauline
15 Wang, Hao
13 Friedman, Avner
13 Hastings, Alan Matthew
13 Segel, Lee Aaron
13 Sneyd, James
12 Baker, Ruth Elizabeth
12 Othmer, Hans G.
12 Roose, Tiina
12 Tang, Sanyi
11 Gumel, Abba B.
11 Painter, Kevin J.
11 van Pelt, Jaap
10 Anderson, Alexander R. A.
10 Feng, Zhilan
10 Krause, Andrew L.
10 Layton, Anita T.
10 Lutscher, Frithjof
10 Martcheva, Maia
10 Massad, Eduardo
10 Michel, Christian J.
10 Myerscough, Mary R.
10 Schuster, Peter
10 Stadler, Peter F.
10 Willson, Stephen Jeffrey
9 Allen, Linda J. S.
9 Brindley, John
9 Eberl, Hermann J.
9 Freedman, Herbert Irving
9 Gyllenberg, Mats
9 Matis, James H.
9 Nisbet, Roger M.
9 Owen, Markus Roger
9 Parnas, Hanna
9 Petrovskii, Sergei V.
9 Plank, Michael J.
9 Ruan, Shigui
9 Stone, Lewi
9 Verwer, Ronald W. H.
9 Wang, Yuanshi
9 Waterman, Michael S.
9 Xiao, Yanni
9 Zhu, Huaiping
9 Zou, Xingfu
8 Adler, Frederick R.
8 Broom, Mark
8 Coutinho, Francisco Antonio Bezerra
8 De Boer, Rob J.
8 Gilligan, Christopher A.
8 Hilker, Frank M.
8 Huber, Katharina T.
8 Kiss, István Z.
8 Komarova, Natalia L.
8 Kuang, Yang
8 Landman, Kerry A.
8 Layton, Harold E.
8 Lenhart, Suzanne M.
8 Li, Michael Yi
8 Lorenzi, Tommaso
8 Lou, Yuan
8 Ma, Junling
8 Michelson, Seth
8 Moulton, Vincent L.
8 Parvinen, Kalle
8 Peace, Angela
8 Reidys, Christian Michael
8 Tindall, Marcus J.
8 Wu, Jianhong
7 Banks, Harvey Thomas
7 Bolker, Benjamin M.
7 Chapman, Stephen Jonathan
7 Conrad, Michael
7 de Vries, Gerda
7 Demiray, Hilmi
7 Diekmann, Odo
7 Earn, David J. D.
7 Enderling, Heiko
7 Erban, Radek
7 Fowler, Andrew C.
7 Franks, Nigel R.
7 Gedeon, Tomáš
7 Gopalsamy, Kondalsamy
7 Keener, James P.
7 Kirschner, Denise E.
...and 5,639 more Authors
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Fields

3,513 Biology and other natural sciences (92-XX)
380 Ordinary differential equations (34-XX)
376 Partial differential equations (35-XX)
279 Probability theory and stochastic processes (60-XX)
221 Numerical analysis (65-XX)
217 Dynamical systems and ergodic theory (37-XX)
167 Systems theory; control (93-XX)
147 Statistics (62-XX)
138 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
126 Fluid mechanics (76-XX)
109 Combinatorics (05-XX)
67 Computer science (68-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
46 Information and communication theory, circuits (94-XX)
43 Difference and functional equations (39-XX)
40 General and overarching topics; collections (00-XX)
39 Operations research, mathematical programming (90-XX)
38 Classical thermodynamics, heat transfer (80-XX)
35 Integral equations (45-XX)
31 Mechanics of deformable solids (74-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
17 Statistical mechanics, structure of matter (82-XX)
12 Convex and discrete geometry (52-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Category theory; homological algebra (18-XX)
9 History and biography (01-XX)
8 Operator theory (47-XX)
8 Optics, electromagnetic theory (78-XX)
6 Differential geometry (53-XX)
6 Mechanics of particles and systems (70-XX)
5 Algebraic geometry (14-XX)
4 Functional analysis (46-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
4 Quantum theory (81-XX)
4 Geophysics (86-XX)
4 Mathematics education (97-XX)
3 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
3 Algebraic topology (55-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)

Publications by Year

Citations contained in zbMATH Open

2,607 Publications have been cited 25,890 times in 16,424 Documents Cited by Year
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025
Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
362
2008
Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019
Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S.
283
1994
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
240
1998
Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026
Shulgin, Boris; Stone, Lewi; Agur, Zvia
225
1998
Global properties of basic virus dynamics models. Zbl 1334.92409
Korobeinikov, Andrei
190
2004
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
188
2006
A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187
Araujo, R. P.; McElwain, D. L. S.
186
2004
Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410
Korobeinikov, Andrei
177
2006
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
171
1983
Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
Korobeinikov, Andrei
159
2007
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059
Liu, Meng; Wang, Ke; Wu, Qiong
140
2011
HIV-1 infection and low steady state viral loads. Zbl 1334.92227
Callaway, Duncan S.; Perelson, Alan S.
136
2002
Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030
Tien, Joseph H.; Earn, David J. D.
134
2010
Persistence in stochastic food web models. Zbl 0533.92028
Gard, Thomas C.
132
1984
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
130
1986
Integrated pest management models and their dynamical behaviour. Zbl 1334.91058
Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A.
126
2005
Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079
Ablowitz, Mark J.; Zeppetella, Anthony
126
1979
Evolutionary game dynamics in finite populations. Zbl 1334.92372
Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A.
124
2004
Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028
Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K.
123
1999
A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014
Panetta, John Carl
122
1996
Interactions between the immune system and cancer: A brief review of non-spatial mathematical models. Zbl 1209.92028
Eftimie, Raluca; Bramson, Jonathan L.; Earn, David J. D.
120
2011
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081
Garvie, Marcus R.
118
2007
Chemotactic signaling, microglia, and Alzheimer’s disease senile plaques: Is there a connection? Zbl 1334.92077
Luca, Magdalena; Chavez-Ross, Alexandra; Edelstein-Keshet, Leah; Mogilner, Alex
115
2003
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
Jost, Christian; Arino, Ovide; Arditi, Roger
114
1999
Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211
Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward
110
2006
Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093
Bacaër, Nicolas
108
2007
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
107
2009
Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008
Head, T.
105
1987
A mathematical model for assessing control strategies against West Nile virus. Zbl 1334.92392
Bowman, C.; Gumel, A. B.; van den Driessche, P.; Wu, J.; Zhu, H.
101
2005
How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181
Owen, M. R.; Lewis, M. A.
99
2001
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
99
1993
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
98
2010
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
90
2010
Modeling optimal intervention strategies for cholera. Zbl 1201.92045
Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne
85
2010
Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019
Wollkind, David J.; Collings, John B.; Logan, Jesse A.
84
1988
Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454
Potapov, A. B.; Lewis, M. A.
82
2004
Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017
Gard, Thomas C.; Hallam, Thomas G.
82
1979
Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053
Rong, Libin; Feng, Zhilan; Perelson, Alan S.
79
2007
Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238
Antal, Tibor; Scheuring, István
79
2006
The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519
Hosono, Yuzo
79
1998
The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225
Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A.
76
2006
Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162
Edwards, Andrew M.; Brindley, John
74
1999
Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419
Ma, Junling; Earn, David J. D.
74
2006
Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010
Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur
73
1995
Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010
Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A.
73
1996
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
70
2010
Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024
Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim
70
2010
On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040
Zhang, Tailei; Teng, Zhidong
69
2007
Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Zbl 1334.92214
Zheng, X.; Wise, S. M.; Cristini, V.
68
2005
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
66
2008
Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043
Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi
66
2012
Qualitative simulation of genetic regulatory networks using piecewise-linear models. Zbl 1334.92282
de Jong, Hidde; Gouzé, Jean-Luc; Hernandez, Céline; Page, Michel; Sari, Tewfik; Geiselmann, Johannes
66
2004
On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006
Segel, Lee A.
66
1988
Global stability of population models. Zbl 0451.92011
Cull, Paul
66
1981
Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
65
2001
Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006
Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P.
64
2008
Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027
Haque, Mainul
64
2009
Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414
Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P.
63
2006
On the origin of tiger bush. Zbl 0903.92031
Lefever, R.; Lejeune, O.
63
1997
The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058
Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang
62
2015
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
60
2003
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
Beretta, E.; Takeuchi, Y.
60
1987
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
59
1983
Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024
Collings, John B.
59
1995
Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011
Duggan, R. C.; Goodman, A. M.
58
1986
Ocean plankton populations as excitable media. Zbl 0803.92026
Truscott, J. E.; Brindley, J.
57
1994
Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment. Zbl 1335.92087
Zhao, Yu; Yuan, Sanling; Ma, Junling
57
2015
Chemical reaction systems with toric steady states. Zbl 1251.92016
Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten
57
2012
A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026
Barrio, R. A.; Varea, C.; Aragón, J. L.; Maini, P. K.
56
1999
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
56
2010
Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048
Auchmuty, J. F. G.; Nicolis, G.
55
1975
Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098
Loladze, Irakli; Kuang, Yang; Elser, James J.
55
2000
Analytical results for individual and group selection of any intensity. Zbl 1144.92035
Traulsen, Arne; Shoresh, Noam; Nowak, Martin A.
54
2008
Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035
Crampin, E. J.; Hackborn, W. W.; Maini, P. K.
54
2002
Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060
Elbasha, Elamin H.; Gumel, Abba B.
53
2006
Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
52
2009
Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371
Tang, Sanyi; Chen, Lansun
52
2003
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
52
1986
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
51
1993
Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095
Wang, Xiaoying; Zou, Xingfu
51
2017
Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025
Takeuchi, Yasuhiro; Adachi, Norihiko
51
1983
Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185
Tzafriri, A. R.
51
2003
Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031
Van Kirk, R. W.; Lewis, M. A.
51
1997
Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state. Zbl 0821.92009
Thomas, René; Thieffrey, Denis; Kaufman, Marcelle
50
1995
Linearized oscillations in population dynamics. Zbl 0634.92013
Kulenović, M. R. S.; Ladas, G.
50
1987
Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088
Smolen, Paul; Baxter, Douglas A.; Byrne, John H.
49
2000
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Zbl 1334.92106
McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.; Sherratt, J. A.
49
2002
Modelling the dynamics of West Nile virus. Zbl 1334.92397
Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal
49
2005
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
48
1979
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
48
1996
Impacts of foraging facilitation among predators on predator-prey dynamics. Zbl 1184.92048
Berec, Luděk
48
2010
Enzyme kinetics at high enzyme concentration. Zbl 1323.92099
Schnell, S.; Maini, P. K.
47
2000
Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204
Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît
47
2015
A stochastic analysis of first-order reaction networks. Zbl 1334.92473
Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G.
47
2005
Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034
Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M.
47
1998
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040
Li, Michael Y.; Shu, Hongying
47
2011
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
46
1995
The migration of cells in multicell tumor spheroids. Zbl 1323.92037
Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S.
46
2001
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004
Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D.
45
1991
Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis. Zbl 1168.92010
Painter, Kevin J.
45
2009
Vaccination and quarantine effect on COVID-19 transmission dynamics incorporating Chinese-Spring-Festival travel rush: modeling and simulations. Zbl 1481.92083
Zou, Yukun; Yang, Wei; Lai, Junjie; Hou, Jiawen; Lin, Wei
3
2022
The heterogeneous severity of COVID-19 in african countries: a modeling approach. Zbl 1485.92145
Musa, Salihu Sabiu; Wang, Xueying; Zhao, Shi; Li, Shudong; Hussaini, Nafiu; Wang, Weiming; He, Daihai
3
2022
A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011
Park, Jeungeun; Aminzare, Zahra
2
2022
Modeling and evaluation of the joint prevention and control mechanism for curbing COVID-19 in Wuhan. Zbl 1481.92180
Zhou, Linhua; Rong, Xinmiao; Fan, Meng; Yang, Liu; Chu, Huidi; Xue, Ling; Hu, Guorong; Liu, Siyu; Zeng, Zhijun; Chen, Ming; Sun, Wei; Liu, Jiamin; Liu, Yawen; Wang, Shishen; Zhu, Huaiping
2
2022
Multistationarity in cyclic sequestration-transmutation networks. Zbl 1491.92068
Craciun, Gheorghe; Joshi, Badal; Pantea, Casian; Tan, Ike
2
2022
Extinction of bistable populations is affected by the shape of their initial spatial distribution. Zbl 1484.92076
Li, Yifei; Johnston, Stuart T.; Buenzli, Pascal R.; van Heijster, Peter; Simpson, Matthew J.
2
2022
From policy to prediction: forecasting COVID-19 dynamics under imperfect vaccination. Zbl 1497.92160
Wang, Xiunan; Wang, Hao; Ramazi, Pouria; Nah, Kyeongah; Lewis, Mark
1
2022
Ancestral lineages in mutation selection equilibria with moving optimum. Zbl 1497.92176
Forien, Raphaël; Garnier, Jimmy; Patout, Florian
1
2022
Fixed and distributed gene expression time delays in reaction-diffusion systems. Zbl 1497.92093
Sargood, Alec; Gaffney, Eamonn A.; Krause, Andrew L.
1
2022
A PDE model for protocell evolution and the origin of chromosomes via multilevel selection. Zbl 1498.92026
Cooney, Daniel B.; Rossine, Fernando W.; Morris, Dylan H.; Levin, Simon A.
1
2022
Intermittent hormone therapy models analysis and Bayesian model comparison for prostate cancer. Zbl 1478.92089
Pasetto, S.; Enderling, H.; Gatenby, R. A.; Brady-Nicholls, R.
1
2022
Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion. Zbl 1478.92255
Yan, Yawen; Zhang, Jimin; Wang, Hao
1
2022
Control strategies for a multi-strain epidemic model. Zbl 1478.92208
Lou, Yuan; Salako, Rachidi B.
1
2022
Merging arcs to produce acyclic phylogenetic networks and normal networks. Zbl 1481.92094
Willson, Stephen J.
1
2022
On the validity of the stochastic quasi-steady-state approximation in open enzyme catalyzed reactions: timescale separation or singular perturbation? Zbl 1482.92037
Eilertsen, Justin; Schnell, Santiago
1
2022
Vector-borne disease models with active and inactive vectors: a simple way to consider biting behavior. Zbl 1481.92162
Simoy, Mario Ignacio; Aparicio, Juan Pablo
1
2022
Obituary: Edmund John Crampin (1973–2021). Zbl 1480.01049
Maini, Philip K.; Hunter, Peter J.; Gawthrop, Peter J.; Smith, Nic P.
1
2022
A hypothesis-free bridging of disease dynamics and non-pharmaceutical policies. Zbl 1486.92295
Wang, Xiunan; Wang, Hao; Ramazi, Pouria; Nah, Kyeongah; Lewis, Mark
1
2022
Derivation and analysis of a discrete predator-prey model. Zbl 1497.92214
Streipert, Sabrina H.; Wolkowicz, Gail S. K.; Bohner, Martin
1
2022
Effect of non-homogeneous mixing and asymptomatic individuals on final epidemic size and basic reproduction number in a meta-population model. Zbl 1486.92217
Cui, Jingan; Wu, Yucui; Guo, Songbai
1
2022
Sequential data assimilation of the stochastic SEIR epidemic model for regional COVID-19 dynamics. Zbl 1457.92163
Engbert, Ralf; Rabe, Maximilian M.; Kliegl, Reinhold; Reich, Sebastian
11
2021
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
10
2021
Invading and receding sharp-fronted travelling waves. Zbl 1460.92232
El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J.
7
2021
Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
6
2021
Bespoke Turing systems. Zbl 1460.92028
Woolley, Thomas E.; Krause, Andrew L.; Gaffney, Eamonn A.
6
2021
Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality. Zbl 1464.35370
Li, Fuxiang; Zhao, Xiao-Qiang
6
2021
Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034
Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A.
6
2021
Mosquito control based on pesticides and endosymbiotic bacterium Wolbachia. Zbl 1466.92186
Hu, Linchao; Yang, Cui; Hui, Yuanxian; Yu, Jianshe
4
2021
Oscillations and pattern formation in a slow-fast prey-predator system. Zbl 1476.92032
Chowdhury, Pranali Roy; Petrovskii, Sergei; Banerjee, Malay
3
2021
A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119
Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin
3
2021
Antibody dynamics for Plasmodium vivax malaria: a mathematical model. Zbl 1460.92055
Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A.
3
2021
Optimal control of mitigation strategies for dengue virus transmission. Zbl 1460.92123
Xue, Ling; Ren, Xue; Magpantay, Felicia; Sun, Wei; Zhu, Huaiping
3
2021
A network immuno-epidemiological HIV model. Zbl 1460.92200
Gupta, Churni; Tuncer, Necibe; Martcheva, Maia
3
2021
A mathematical model supporting a hyperpredation effect in the apparent competition between invasive Eastern cottontail and native European hare. Zbl 1466.92141
Caudera, Elisa; Viale, Simona; Bertolino, Sandro; Cerri, Jacopo; Venturino, Ezio
3
2021
The effect of covert and overt infections on disease dynamics in honey-bee colonies. Zbl 1467.92179
Britton, Nicholas F.; Jane White, K. A.
3
2021
Natural killer cells recruitment in oncolytic virotherapy: a mathematical model. Zbl 1467.92098
Senekal, Noma Susan; Mahasa, Khaphetsi Joseph; Eladdadi, Amina; de Pillis, Lisette; Ouifki, Rachid
3
2021
A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer. Zbl 1467.92057
Fiandaca, Giada; Delitala, Marcello; Lorenzi, Tommaso
3
2021
Atto-foxes and other minutiae. Zbl 1476.92033
Fowler, A. C.
2
2021
Modeling the pancreatic cancer microenvironment in search of control targets. Zbl 1475.92052
Plaugher, Daniel; Murrugarra, David
2
2021
The impact of contact structure and mixing on control measures and disease-induced herd immunity in epidemic models: a mean-field model perspective. Zbl 1482.92092
Di Lauro, Francesco; Berthouze, Luc; Dorey, Matthew D.; Miller, Joel C.; Kiss, István Z.
2
2021
Dispersal and good habitat quality promote neutral genetic diversity in metapopulations. Zbl 1466.37071
Garnier, Jimmy; Lafontaine, Pierre
2
2021
Modeling CAR T-cell therapy with patient preconditioning. Zbl 1460.92099
Owens, Katherine; Bozic, Ivana
2
2021
Modeling the effect of HIV/AIDS stigma on HIV infection dynamics in Kenya. Zbl 1466.92193
Levy, Ben; Correia, Hannah E.; Chirove, Faraimunashe; Ronoh, Marilyn; Abebe, Ash; Kgosimore, Moatlhodi; Chimbola, Obias; Machingauta, M. Hellen; Lenhart, Suzanne; White, K. A. Jane
2
2021
On the threshold of release of confinement in an epidemic SEIR model taking into account the protective effect of mask. Zbl 1466.92168
Auger, Pierre; Moussaoui, Ali
2
2021
The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. Zbl 1466.92016
Seirin-Lee, Sungrim
2
2021
Controlling the spatial spread of a Xylella epidemic. Zbl 1464.35352
Aniţa, Sebastian; Capasso, Vincenzo; Scacchi, Simone
2
2021
Pattern formation in a three-species cyclic competition model. Zbl 1466.92014
Manna, Kalyan; Volpert, Vitaly; Banerjee, Malay
2
2021
The role of stochasticity in noise-induced tipping point cascades: a master equation approach. Zbl 1466.92152
Mallela, Abhishek; Hastings, Alan
2
2021
Leadership through influence: what mechanisms allow leaders to steer a swarm? Zbl 1480.92238
Bernardi, Sara; Eftimie, Raluca; Painter, Kevin J.
2
2021
Independent decompositions of chemical reaction networks. Zbl 1467.92256
Hernandez, Bryan S.; De la Cruz, Ralph John L.
2
2021
Bayesian-weighted triplet and quartet methods for species tree inference. Zbl 1470.92221
Richards, Andrew; Kubatko, Laura
2
2021
A comparison of the “reduced losses” and “increased production” models for mussel bed dynamics. Zbl 1478.92251
Sherratt, Jonathan A.; Liu, Quan-Xing; van de Koppel, Johan
1
2021
Modelling preferential phagocytosis in atherosclerosis: delineating timescales in plaque development. Zbl 1471.92100
Lui, Gigi; Myerscough, Mary R.
1
2021
Three-patch models for the evolution of dispersal in advective environments: varying drift and network topology. Zbl 1481.34063
Jiang, Hongyan; Lam, King-Yeung; Lou, Yuan
1
2021
A Zika endemic model for the contribution of multiple transmission routes. Zbl 1482.37100
Yuan, Xiaoyan; Lou, Yijun; He, Daihai; Wang, Jinliang; Gao, Daozhou
1
2021
Tipping cascades in a multi-patch system with noise and spatial coupling. Zbl 1476.92053
Mallela, Abhishek; Hastings, Alan
1
2021
Spreading properties for SIR models on homogeneous trees. Zbl 1475.92148
Besse, Christophe; Faye, Grégory
1
2021
Correction to: “Oscillations and pattern formation in a slow-fast prey-predator system”. Zbl 1478.92151
Chowdhury, Pranali Roy; Petrovskii, Sergei; Banerjee, Malay
1
2021
Multiscale modelling of de novo anaerobic granulation. Zbl 1478.92124
Tenore, A.; Russo, F.; Mattei, M. R.; D’Acunto, B.; Collins, G.; Frunzo, L.
1
2021
Statistics of nascent and mature RNA fluctuations in a stochastic model of transcriptional initiation, elongation, pausing, and termination. Zbl 1460.92075
Filatova, Tatiana; Popovic, Nikola; Grima, Ramon
1
2021
A mathematical modeling study: assessing impact of mismatch between influenza vaccine strains and circulating strains in Hajj. Zbl 1460.92117
Alharbi, Mohammed H.; Kribs, Christopher M.
1
2021
Thermodynamic inhibition in a biofilm reactor with suspended bacteria. Zbl 1460.92126
Gaebler, Harry J.; Hughes, Jack M.; Eberl, Hermann J.
1
2021
On the mathematical modelling of competitive invasive weed dynamics. Zbl 1460.92176
Ramaj, Tedi
1
2021
Modeling LSD1-mediated tumor stagnation. Zbl 1457.92080
Milzman, Jesse; Sheng, Wanqiang; Levy, Doron
1
2021
Modeling rabies transmission in spatially heterogeneous environments via \(\theta \)-diffusion. Zbl 1460.92224
Wang, Xiunan; Wang, Hao; Li, Michael Y.
1
2021
Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130
FitzGerald, Cody; Keener, James
1
2021
Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks. Zbl 1460.92063
Ciocanel, Maria-Veronica; Juenemann, Riley; Dawes, Adriana T.; McKinley, Scott A.
1
2021
28 models later: model competition and the zombie apocalypse. Zbl 1460.92212
McGahan, Ian; Powell, James; Spencer, Elizabeth
1
2021
Modeling the effects of latency reversing drugs during HIV-1 and SIV brain infection with implications for the “shock and kill” strategy. Zbl 1460.92101
Roda, Weston C.; Liu, Suli; Power, Christopher; Li, Michael Y.
1
2021
Mathematical model of tumour spheroid experiments with real-time cell cycle imaging. Zbl 1458.92043
Jin, Wang; Spoerri, Loredana; Haass, Nikolas K.; Simpson, Matthew J.
1
2021
Harnessing social media in the modelling of pandemics – challenges and opportunities. Zbl 1466.92208
Sooknanan, Joanna; Mays, Nicholas
1
2021
Collective oscillations in coupled-cell systems. Zbl 1466.92053
Chen, Kuan-Wei; Shih, Chih-Wen
1
2021
The signature of endemic populations in the spread of mountain pine beetle outbreaks. Zbl 1464.92247
Koch, Dean; Lewis, Mark A.; Lele, Subhash
1
2021
Stochastic chlamydia dynamics and optimal spread. Zbl 1472.92210
Enciso, German; Sütterlin, Christine; Tan, Ming; Wan, Frederic Y. M.
1
2021
Calcium dynamics and water transport in salivary acinar cells. Zbl 1466.92049
Sneyd, James; Vera-Sigüenza, Elias; Rugis, John; Pages, Nathan; Yule, David I.
1
2021
Effects of prey’s diffusion on predator-prey systems with two patches. Zbl 1466.92163
Xiao, Siheng; Wang, Yuanshi; Wang, Shikun
1
2021
Dynamics of competitive systems with diffusion between source-sink patches. Zbl 1467.34053
Wu, Hong; Wang, Yuanshi
1
2021
Patient-specific modelling of blood coagulation. Zbl 1466.92048
Ratto, N.; Bouchnita, A.; Chelle, P.; Marion, M.; Panteleev, M.; Nechipurenko, D.; Tardy-Poncet, B.; Volpert, V.
1
2021
Correction to: “Red light and the dormancy-germination decision in Arabidopsis seeds”. Zbl 1466.92120
FitzGerald, Cody; Keener, James
1
2021
Generalized stoichiometry and biogeochemistry for astrobiological applications. Zbl 1467.92009
Kempes, Christopher P.; Follows, Michael J.; Smith, Hillary; Graham, Heather; House, Christopher H.; Levin, Simon A.
1
2021
Compartmental model suggests importance of innate immune response to COVID-19 infection in rhesus macaques. Zbl 1467.92217
Mochan, Ericka; Sego, T. J.; Gaona, Lauren; Rial, Emmaline; Ermentrout, G. Bard
1
2021
Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations. Zbl 1467.92038
Villa, Chiara; Chaplain, Mark A. J.; Gerisch, Alf; Lorenzi, Tommaso
1
2021
Modeling intracellular delay in within-host HIV dynamics under conditioning of drugs of abuse. Zbl 1467.92126
Vaidya, Naveen K.; Peter, Michael
1
2021
Modeling the relationship between antibody-dependent enhancement and disease severity in secondary dengue infection. Zbl 1467.92187
de A. Camargo, Felipe; Adimy, Mostafa; Esteva, Lourdes; Métayer, Clémence; Ferreira, Cláudia P.
1
2021
Effects of vector maturation time on the dynamics of cassava mosaic disease. Zbl 1470.92275
Al Basir, F.; Kyrychko, Y. N.; Blyuss, K. B.; Ray, S.
1
2021
Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo. Zbl 1468.92029
Gonzalez Herrero, Maria Elena; Kuehn, Christian; Tsaneva-Atanasova, Krasimira
1
2021
An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission. Zbl 1475.35356
Kenne, Cyrille; Dorville, René; Mophou, Gisèle; Zongo, Pascal
1
2021
Variance reduction with array-RQMC for tau-leaping simulation of stochastic biological and chemical reaction networks. Zbl 1470.92125
Puchhammer, Florian; Ben Abdellah, Amal; L’Ecuyer, Pierre
1
2021
A random walk approach to transport in tissues and complex media: from microscale descriptions to macroscale models. Zbl 1470.92100
Stotsky, Jay A.; Gou, Jia; Othmer, Hans G.
1
2021
Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195
Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao
15
2020
Commentary on Ferguson, et al., “Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand”. Zbl 1434.92030
Eubank, S.; Eckstrand, I.; Lewis, B.; Venkatramanan, S.; Marathe, M.; Barrett, C. L.
11
2020
Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139
Perkins, T. Alex; España, Guido
10
2020
The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086
Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof
8
2020
Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases. Zbl 1451.92273
Al Basir, Fahad; Adhurya, Sagar; Banerjee, Malay; Venturino, Ezio; Ray, Santanu
8
2020
Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086
Fadai, Nabil T.; Simpson, Matthew J.
8
2020
Modeling and dynamics analysis of Zika transmission with limited medical resources. Zbl 07233393
Zhao, Hongyong; Wang, Liping; Oliva, Sergio Muniz; Zhu, Huaiping
7
2020
Modeling the effects of meteorological factors and unreported cases on seasonal influenza outbreaks in Gansu Province, China. Zbl 1444.92116
Jing, Shuang-Lin; Huo, Hai-Feng; Xiang, Hong
7
2020
On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091
El Alami Laaroussi, Adil; Rachik, Mostafa
6
2020
A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
6
2020
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
6
2020
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Cited by 19,751 Authors

129 Chen, Lansun
89 Teng, Zhi-dong
79 Tang, Sanyi
76 Maini, Philip Kumar
73 Chaplain, Mark A. J.
70 Jiang, Daqing
69 Byrne, Helen Mary
63 Jin, Zhen
62 Takeuchi, Yasuhiro
62 Xiao, Yanni
61 Ruan, Shigui
60 Elaiw, Ahmed M.
60 Wang, Hao
58 Hayat, Tasawar
58 Zhao, Xiao-Qiang
57 Simpson, Matthew J.
55 Song, Xinyu
51 Chattopadhyay, Joydev
50 Wu, Jianhong
49 Gumel, Abba B.
48 Lewis, Mark Alun
47 Banerjee, Malay
47 Kumar Upadhyay, Ranjit
47 Sherratt, Jonathan A.
46 Kuang, Yang
46 Liu, Meng
44 Qiu, Zhipeng
44 van den Driessche, Pauline
44 Xu, Rui
42 Lutscher, Frithjof
42 Yuan, Sanling
41 Carrillo de la Plata, José Antonio
41 Gaffney, Eamonn A.
41 Gao, Shujing
41 Meng, Xinzhu
41 Rychtár, Jan
41 Wang, Jin
41 Wei, Junjie
41 Zhang, Tonghua
41 Zou, Xingfu
39 Cheke, Robert A.
39 Friedman, Avner
39 Martcheva, Maia
39 Shi, Junping
39 Wang, Wendi
38 Allen, Linda J. S.
38 Feng, Zhilan
38 Rong, Libin
37 Banks, Harvey Thomas
37 Broom, Mark
37 King, John Robert
37 Lou, Yuan
37 Sun, Guiquan
36 Demiray, Hilmi
36 Samanta, Guru Prasad
36 Wang, Ke
35 Kang, Yun
35 Liu, Qun
34 Baker, Ruth Elizabeth
34 Cui, Jingan
34 Li, Jia
34 Li, Wan-Tong
34 Nowak, Martin Andreas
34 Wang, Xia
33 Venturino, Ezio
33 Wang, Jinliang
32 d’Onofrio, Alberto
32 Kar, Tapan Kumar
32 Li, Xuezhi
32 Wang, Weiming
32 Yakubu, Abdul-Aziz
32 Zhu, Huaiping
31 Al-saedi, Ahmed Eid Salem
31 Jang, Sophia R.-J.
31 Liu, Xianning
31 Lorenzi, Tommaso
31 Ma, Wanbiao
30 Layton, Anita T.
30 Pei, Yongzhen
30 Petrovskii, Sergei V.
30 Samanta, Sudip K.
30 Zhang, Tailei
29 Eftimie, Raluca
29 Painter, Kevin J.
29 Wang, Yuanshi
28 Freedman, Herbert Irving
28 Jiao, Jianjun
28 Zhao, Min
27 Liu, Shengqiang
27 Madzvamuse, Anotida
27 Perelson, Alan S.
27 Stadler, Peter F.
27 Winkler, Michael
26 Bressloff, Paul C.
26 Cai, Yongli
26 Chen, Yuming
26 Eberl, Hermann J.
26 Gakkhar, Sunita
26 Hillen, Thomas
26 Kim, Peter S.
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24 Natural Resource Modeling
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8 Functions of a complex variable (30-XX)
6 Field theory and polynomials (12-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Geometry (51-XX)
4 Topological groups, Lie groups (22-XX)
4 Relativity and gravitational theory (83-XX)
2 Associative rings and algebras (16-XX)
2 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
1 General algebraic systems (08-XX)
1 Abstract harmonic analysis (43-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year