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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: 3,398 Publications (since 1973)
References Indexed: 2,762 Publications with 96,140 References.
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Latest Issues

83, No. 9 (2021)
83, No. 8 (2021)
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83, No. 6 (2021)
83, No. 5 (2021)
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77, No. 12 (2015)
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76, No. 12 (2014)
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76, No. 5 (2014)
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76, No. 3 (2014)
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76, No. 1 (2014)
75, No. 12 (2013)
75, No. 11 (2013)
75, No. 10 (2013)
75, No. 9 (2013)
75, No. 8 (2013)
75, No. 7 (2013)
75, No. 6 (2013)
...and 186 more Volumes
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Authors

36 Maini, Philip Kumar
28 Lewis, Mark Alun
24 Perelson, Alan S.
21 Gaffney, Eamonn A.
20 Rosen, Gerald
19 Byrne, Helen Mary
17 Sherratt, Jonathan A.
16 King, John Robert
16 Mcelwain, D. L. Sean
15 Levy, Doron
15 Simpson, Matthew J.
14 Chaplain, Mark A. J.
14 Edelstein-Keshet, Leah
14 Kim, Peter S.
13 Segel, Lee Aaron
13 van den Driessche, Pauline
12 Baker, Ruth Elizabeth
12 Friedman, Avner
12 Hastings, Alan
12 Othmer, Hans G.
12 Roose, Tiina
11 Gumel, Abba B.
11 Powell, James A.
11 Sneyd, James
11 van Pelt, Jaap
10 Anderson, Alexander R. A.
10 Feng, Zhilan
10 Layton, Anita T.
10 Lutscher, Frithjof
10 Massad, Eduardo
10 Painter, Kevin J.
10 Schuster, Peter
10 Stadler, Peter F.
9 Brindley, John
9 Freedman, Herbert Irving
9 Gyllenberg, Mats
9 Matis, James H.
9 Michel, Christian J.
9 Myerscough, Mary R.
9 Nisbet, Roger M.
9 Owen, Markus Roger
9 Parnas, Hanna
9 Plank, Michael J.
9 Ruan, Shigui
9 Stone, Lewi
9 Tang, Sanyi
9 Verwer, Ronald W. H.
9 Wang, Yuanshi
8 Adler, Frederick R.
8 Allen, Linda J. S.
8 Britton, Nicholas Ferris
8 Broom, Mark
8 Coutinho, Francisco Antonio Bezerra
8 De Boer, Rob J.
8 Eberl, Hermann J.
8 Gilligan, Christopher A.
8 Hilker, Frank M.
8 Krause, Andrew L.
8 Landman, Kerry A.
8 Layton, Harold E.
8 Michelson, Seth
8 Parvinen, Kalle
8 Peace, Angela
8 Tindall, Marcus J.
8 Waterman, Michael S.
8 Willson, Stephen Jeffrey
8 Wu, Jianhong
8 Xiao, Yanni
8 Zou, Xingfu
7 Chapman, Stephen Jonathan
7 Conrad, Michael
7 de Vries, Gerda
7 Demiray, Hilmi
7 Diekmann, Odo
7 Erban, Radek
7 Franks, Nigel R.
7 Gopalsamy, Kondalsamy
7 Huber, Katharina T.
7 Kirschner, Denise E.
7 Komarova, Natalia L.
7 Kuang, Yang
7 Laubenbacher, Reinhard C.
7 Lenhart, Suzanne M.
7 Li, Michael Yi
7 Martcheva, Maia
7 Morozov, Andrew Yu.
7 Moulton, Vincent L.
7 Peskin, Charles S.
7 Petrovskii, Sergei V.
7 Reidys, Christian Michael
7 Rescigno, Aldo
7 Sherman, Arthur S.
7 Solimano, Fortunata
7 Wang, Hao
7 Weinstein, Alan M.
7 Weisbuch, Gérard
7 Zhu, Huaiping
6 Amaku, Marcos
6 Anderson, David Frederick
6 Arthurs, A. M.
...and 5,263 more Authors
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Fields

3,317 Biology and other natural sciences (92-XX)
343 Ordinary differential equations (34-XX)
334 Partial differential equations (35-XX)
266 Probability theory and stochastic processes (60-XX)
217 Numerical analysis (65-XX)
214 Dynamical systems and ergodic theory (37-XX)
166 Systems theory; control (93-XX)
143 Statistics (62-XX)
129 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
122 Fluid mechanics (76-XX)
101 Combinatorics (05-XX)
66 Computer science (68-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
45 Information and communication theory, circuits (94-XX)
42 Difference and functional equations (39-XX)
40 General and overarching topics; collections (00-XX)
38 Operations research, mathematical programming (90-XX)
37 Classical thermodynamics, heat transfer (80-XX)
31 Integral equations (45-XX)
31 Mechanics of deformable solids (74-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
16 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)
8 Optics, electromagnetic theory (78-XX)
7 Operator theory (47-XX)
6 Differential geometry (53-XX)
6 Mechanics of particles and systems (70-XX)
5 Algebraic geometry (14-XX)
4 History and biography (01-XX)
4 Functional analysis (46-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
4 Quantum theory (81-XX)
4 Mathematics education (97-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
3 Geophysics (86-XX)
2 Mathematical logic and foundations (03-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)
2 Algebraic topology (55-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

2,399 Publications have been cited 21,659 times in 13,861 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.
229
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.
223
1994
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
210
1998
Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026
Shulgin, Boris; Stone, Lewi; Agur, Zvia
202
1998
Global properties of basic virus dynamics models. Zbl 1334.92409
Korobeinikov, Andrei
162
2004
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
162
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.
161
2004
The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
Freedman, H. I.; Sree Hari Rao, V.
149
1983
Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
Korobeinikov, Andrei
141
2007
Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410
Korobeinikov, Andrei
140
2006
A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014
Panetta, John Carl
119
1996
Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079
Ablowitz, Mark J.; Zeppetella, Anthony
115
1979
Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030
Tien, Joseph H.; Earn, David J. D.
113
2010
Persistence in stochastic food web models. Zbl 0533.92028
Gard, Thomas C.
109
1984
Integrated pest management models and their dynamical behaviour. Zbl 1334.91058
Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A.
109
2005
HIV-1 infection and low steady state viral loads. Zbl 1334.92227
Callaway, Duncan S.; Perelson, Alan S.
108
2002
Evolutionary game dynamics in finite populations. Zbl 1334.92372
Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A.
105
2004
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081
Garvie, Marcus R.
104
2007
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
Freedman, H. I.; Wolkowicz, G. S. K.
103
1986
Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093
Bacaër, Nicolas
100
2007
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
Jost, Christian; Arino, Ovide; Arditi, Roger
100
1999
Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008
Head, T.
98
1987
Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028
Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K.
97
1999
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri
93
1993
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059
Liu, Meng; Wang, Ke; Wu, Qiong
92
2011
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.
92
2011
Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211
Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward
89
2006
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.
87
2005
How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181
Owen, M. R.; Lewis, M. A.
86
2001
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
86
2003
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
83
2010
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
81
2009
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.
75
1988
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
71
2010
Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238
Antal, Tibor; Scheuring, István
70
2006
The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519
Hosono, Yuzo
69
1998
Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010
Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur
68
1995
Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010
Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A.
67
1996
Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053
Rong, Libin; Feng, Zhilan; Perelson, Alan S.
67
2007
Modeling optimal intervention strategies for cholera. Zbl 1201.92045
Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne
66
2010
Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454
Potapov, A. B.; Lewis, M. A.
65
2004
Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017
Gard, Thomas C.; Hallam, Thomas G.
64
1979
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
64
2001
On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040
Zhang, Tailei; Teng, Zhidong
63
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.
63
2005
Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419
Ma, Junling; Earn, David J. D.
63
2006
Global stability of population models. Zbl 0451.92011
Cull, Paul
62
1981
Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162
Edwards, Andrew M.; Brindley, John
62
1999
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
61
2004
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
60
2010
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
Beretta, E.; Takeuchi, Y.
56
1987
On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006
Segel, Lee A.
56
1988
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
55
1983
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.
55
2008
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
54
2010
The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225
Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A.
54
2006
Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043
Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi
52
2012
On the origin of tiger bush. Zbl 0903.92031
Lefever, R.; Lejeune, O.
52
1997
Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371
Tang, Sanyi; Chen, Lansun
52
2003
Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048
Auchmuty, J. F. G.; Nicolis, G.
51
1975
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
51
2003
Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414
Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P.
51
2006
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
50
2010
Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060
Elbasha, Elamin H.; Gumel, Abba B.
50
2006
Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027
Haque, Mainul
50
2009
Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025
Takeuchi, Yasuhiro; Adachi, Norihiko
49
1983
Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031
Van Kirk, R. W.; Lewis, M. A.
49
1997
Ocean plankton populations as excitable media. Zbl 0803.92026
Truscott, J. E.; Brindley, J.
49
1994
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
48
1986
Analytical results for individual and group selection of any intensity. Zbl 1144.92035
Traulsen, Arne; Shoresh, Noam; Nowak, Martin A.
48
2008
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
48
2008
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
48
1995
Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024
Collings, John B.
47
1995
Linearized oscillations in population dynamics. Zbl 0634.92013
Kulenović, M. R. S.; Ladas, G.
46
1987
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.
46
2002
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
45
1993
Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088
Smolen, Paul; Baxter, Douglas A.; Byrne, John H.
45
2000
Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098
Loladze, Irakli; Kuang, Yang; Elser, James J.
45
2000
A stochastic analysis of first-order reaction networks. Zbl 1334.92473
Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G.
45
2005
Modelling the dynamics of West Nile virus. Zbl 1334.92397
Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal
45
2005
Enzyme kinetics at high enzyme concentration. Zbl 1323.92099
Schnell, S.; Maini, P. K.
44
2000
Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185
Tzafriri, A. R.
44
2003
Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011
Duggan, R. C.; Goodman, A. M.
43
1986
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
43
1979
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.
43
1999
The migration of cells in multicell tumor spheroids. Zbl 1323.92037
Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S.
43
2001
Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035
Crampin, E. J.; Hackborn, W. W.; Maini, P. K.
43
2002
Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
43
2009
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
42
1996
Chemical reaction systems with toric steady states. Zbl 1251.92016
Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten
42
2012
Consensus n-trees. Zbl 0455.92019
Margush, T.; McMorris, F. R.
42
1981
Analysis of intra-uterine fluid motion induced by uterine contractions. Zbl 1323.92063
Eytan, Osnat; Elad, David
42
1999
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.
41
1991
Logical identification of all steady states: The concept of feedback loop characteristic states. Zbl 0784.92002
Snoussi, El Houssine; Thomas, René
41
1993
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
41
1995
Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue. Zbl 1296.92226
Coutinho, F. A. B.; Burattini, M. N.; Lopez, L. F.; Massad, E.
40
2006
Sperm motility in the presence of boundaries. Zbl 0826.92017
Fauci, Lisa J.; McDonald, Amy
39
1995
Food chains in the chemostat: Relationships between mean yield and complex dynamics. Zbl 0934.92033
Gragnani, Alessandra; De Feo, Oscar; Rinaldi, Sergio
39
1998
Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Zbl 1296.92195
Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M.
39
2007
Complex dynamics in a model microbial system. Zbl 0761.92041
Kot, Mark; Sayler, Gary S.; Schultz, Terry W.
39
1992
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
1
2021
The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. Zbl 1466.92016
Seirin-Lee, Sungrim
1
2021
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
1
2021
Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
1
2021
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.
6
2020
Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195
Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao
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
4
2020
On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091
El Alami Laaroussi, Adil; Rachik, Mostafa
4
2020
Mix and match: phenotypic coexistence as a key facilitator of cancer invasion. Zbl 1432.92031
Strobl, Maximilian A. R.; Krause, Andrew L.; Damaghi, Mehdi; Gillies, Robert; Anderson, Alexander R. A.; Maini, Philip K.
4
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
3
2020
Speed switch in glioblastoma growth rate due to enhanced hypoxia-induced migration. Zbl 1435.92014
Curtin, Lee; Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Swanson, Kristin R.; Owen, Markus R.
3
2020
The space of tree-based phylogenetic networks. Zbl 1444.92070
Fischer, Mareike; Francis, Andrew
2
2020
Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086
Fadai, Nabil T.; Simpson, Matthew J.
2
2020
The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086
Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof
2
2020
The timing and nature of behavioural responses affect the course of an epidemic. Zbl 1432.92101
Tyson, Rebecca C.; Hamilton, Stephanie D.; Lo, Aboubakr S.; Baumgaertner, Bert O.; Krone, Stephen M.
2
2020
A current perspective on wound healing and tumour-induced angiogenesis. Zbl 1432.92008
Flegg, Jennifer A.; Menon, Shakti N.; Byrne, Helen M.; McElwain, D. L. Sean
2
2020
Renewal reward perspective on linear switching diffusion systems in models of intracellular transport. Zbl 1461.92030
Ciocanel, Maria-Veronica; Fricks, John; Kramer, Peter R.; McKinley, Scott A.
1
2020
Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035
Arroyo-Esquivel, Jorge; Hastings, Alan
1
2020
Multiple attractors and long transients in spatially structured populations with an Allee effect. Zbl 1453.92267
Vortkamp, Irina; Schreiber, Sebastian J.; Hastings, Alan; Hilker, Frank M.
1
2020
Turing patterning in stratified domains. Zbl 1453.92043
Krause, Andrew L.; Klika, Václav; Halatek, Jacob; Grant, Paul K.; Woolley, Thomas E.; Dalchau, Neil; Gaffney, Eamonn A.
1
2020
Pushing the boundaries: models for the spatial spread of ecosystem engineers. Zbl 1452.35222
Lutscher, Frithjof; Fink, Justus; Zhu, Yingjie
1
2020
Coloured noise from stochastic inflows in reaction-diffusion systems. Zbl 1437.92168
Adamer, Michael F.; Harrington, Heather A.; Gaffney, Eamonn A.; Woolley, Thomas E.
1
2020
Stationary pattern of a reaction-diffusion mussel-algae model. Zbl 1437.92102
Shen, Zuolin; Wei, Junjie
1
2020
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
1
2020
Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion. Zbl 1444.92028
Shuttleworth, Robyn; Trucu, Dumitru
1
2020
Parameter estimation for evaporation-driven tear film thinning. Zbl 1444.92020
Luke, Rayanne A.; Braun, Richard J.; Driscoll, Tobin A.; Begley, Carolyn G.; Awisi-Gyau, Deborah
1
2020
Thermodynamic inhibition in chemostat models. With an application to bioreduction of uranium. Zbl 1444.92064
Gaebler, Harry J.; Eberl, Hermann J.
1
2020
A framework for network-based epidemiological modeling of tuberculosis dynamics using synthetic datasets. Zbl 1444.92122
Renardy, Marissa; Kirschner, Denise E.
1
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
1
2020
Control of intracellular molecular networks using algebraic methods. Zbl 1432.92040
Sordo Vieira, Luis; Laubenbacher, Reinhard C.; Murrugarra, David
1
2020
Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041
Allen, Henry R.; Ptashnyk, Mariya
1
2020
Statistically consistent and computationally efficient inference of ancestral DNA sequences in the TKF91 model under dense taxon sampling. Zbl 1435.92044
Fan, Wai-Tong; Roch, Sebastien
1
2020
Additional analytical support for a new method to compute the likelihood of diversification models. Zbl 1432.92065
Laudanno, Giovanni; Haegeman, Bart; Etienne, Rampal S.
1
2020
Maternal passive immunity and dengue hemorrhagic fever in infants. Zbl 1433.92047
Adimy, Mostafa; Mancera, Paulo F. A.; Rodrigues, Diego S.; Santos, Fernando L. P.; Ferreira, Cláudia P.
1
2020
Cell size, mechanical tension, and GTPase signaling in the single cell. Zbl 1432.92012
Buttenschön, Andreas; Liu, Yue; Edelstein-Keshet, Leah
1
2020
Resonance of periodic combination antiviral therapy and intracellular delays in virus model. Zbl 1432.92052
Browne, Cameron J.; Pan, Xuejun; Shu, Hongying; Wang, Xiang-Sheng
1
2020
An activation-clearance model for Plasmodium vivax malaria. Zbl 1432.92094
Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A.
1
2020
A multicellular model of primary saliva secretion in the parotid gland. Zbl 1433.92010
Vera-Sigüenza, Elías; Pages, Nathan; Rugis, John; Yule, David I.; Sneyd, James
1
2020
Modeling the 2014–2015 Ebola virus disease outbreaks in Sierra Leone, Guinea, and Liberia with effect of high- and low-risk susceptible individuals. Zbl 1448.92316
Lin, Qianying; Musa, Salihu S.; Zhao, Shi; He, Daihai
1
2020
Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096
Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C.
1
2020
The de Rham-Hodge analysis and modeling of biomolecules. Zbl 1448.92158
Zhao, Rundong; Wang, Menglun; Chen, Jiahui; Tong, Yiying; Wei, Guo-Wei
1
2020
Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139
Perkins, T. Alex; España, Guido
1
2020
Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds. Zbl 1415.92034
Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A.
10
2019
Multistationarity in structured reaction networks. Zbl 1415.92083
Dickenstein, Alicia; Millán, Mercedes Pérez; Shiu, Anne; Tang, Xiaoxian
9
2019
The multistationarity structure of networks with intermediates and a binomial core network. Zbl 1417.92058
Sadeghimanesh, AmirHosein; Feliu, Elisenda
9
2019
Using experimental data and information criteria to guide model selection for reaction-diffusion problems in mathematical biology. Zbl 1415.92041
Warne, David J.; Baker, Ruth E.; Simpson, Matthew J.
8
2019
Emergence of oscillations in a mixed-mechanism phosphorylation system. Zbl 1415.92092
Conradi, Carsten; Mincheva, Maya; Shiu, Anne
8
2019
A mathematical framework for modelling the metastatic spread of cancer. Zbl 1415.92099
Franssen, Linnea C.; Lorenzi, Tommaso; Burgess, Andrew E. F.; Chaplain, Mark A. J.
7
2019
Effects of patch-matrix composition and individual movement response on population persistence at the patch level. Zbl 07135700
Cronin, James T.; Goddard, Jerome II; Shivaji, Ratnasingham
5
2019
Spatial memory and taxis-driven pattern formation in model ecosystems. Zbl 1417.92217
Potts, Jonathan R.; Lewis, Mark A.
5
2019
Bayesian parameter identification for Turing systems on stationary and evolving domains. Zbl 1409.92006
Campillo-Funollet, Eduard; Venkataraman, Chandrasekhar; Madzvamuse, Anotida
5
2019
The final size of a serious epidemic. Zbl 1415.92172
Brauer, Fred
5
2019
Multistationarity in the space of total concentrations for systems that admit a monomial parametrization. Zbl 1427.92039
Conradi, Carsten; Iosif, Alexandru; Kahle, Thomas
4
2019
A hybrid model for the population dynamics of periodical cicadas. Zbl 1415.92154
Machta, Jonathan; Blackwood, Julie C.; Noble, Andrew; Liebhold, Andrew M.; Hastings, Alan
4
2019
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems. Zbl 1415.92086
Johnston, Matthew D.; Müller, Stefan; Pantea, Casian
4
2019
The threshold infection level for Wolbachia invasion in a two-sex mosquito population model. Zbl 1417.92182
Li, Dan; Wan, Hui
4
2019
Tropical principal component analysis and its application to phylogenetics. Zbl 1410.92082
Yoshida, Ruriko; Zhang, Leon; Zhang, Xu
4
2019
A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin. Zbl 1415.92032
Browning, Alexander P.; Haridas, Parvathi; Simpson, Matthew J.
4
2019
Generalized social dilemmas: the evolution of cooperation in populations with variable group size. Zbl 1430.91019
Broom, Mark; Pattni, Karan; Rychtář, Jan
4
2019
Invasion dynamics in an intraguild predation system with predator-induced defense. Zbl 1427.92077
Köhnke, M. C.
3
2019
Reconstructing tree-child networks from reticulate-edge-deleted subnetworks. Zbl 1428.92080
Murakami, Yukihiro; van Iersel, Leo; Janssen, Remie; Jones, Mark; Moulton, Vincent
3
2019
Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection. Zbl 1415.92184
Kitagawa, Kosaku; Kuniya, Toshikazu; Nakaoka, Shinji; Asai, Yusuke; Watashi, Koichi; Iwami, Shingo
3
2019
Asymptotic state of a two-patch system with infinite diffusion. Zbl 1415.92215
Wang, Yuanshi
3
2019
Global sensitivity analysis of high-dimensional neuroscience models: an example of neurovascular coupling. Zbl 1415.92072
Hart, J. L.; Gremaud, P. A.; David, T.
3
2019
Multiscale modelling of fibres dynamics and cell adhesion within moving boundary cancer invasion. Zbl 1417.92029
Shuttleworth, Robyn; Trucu, Dumitru
3
2019
Metastability as a coexistence mechanism in a model for dryland vegetation patterns. Zbl 1417.92209
Eigentler, Lukas; Sherratt, Jonathan A.
3
2019
Modeling HIV dynamics under combination therapy with inducers and antibodies. Zbl 1417.92097
Yan, Chao; Wang, Wendi
3
2019
On the number of non-equivalent ancestral configurations for matching gene trees and species trees. Zbl 1410.92072
Disanto, Filippo; Rosenberg, Noah A.
3
2019
A mathematical model of fluid transport in an accurate reconstruction of parotid acinar cells. Zbl 1415.92070
Vera-Sigüenza, Elías; Pages, Nathan; Rugis, John; Yule, David I.; Sneyd, James
3
2019
Disease extinction versus persistence in discrete-time epidemic models. Zbl 1437.92141
van den Driessche, P.; Yakubu, Abdul-Aziz
3
2019
Dynamics of bone cell interactions and differential responses to PTH and antibody-based therapies. Zbl 1426.92025
Lemaire, Vincent; Cox, David R.
2
2019
How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161
Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof
2
2019
Universal statistics of incubation periods and other detection times via diffusion models. Zbl 1415.92166
Bakhtin, Yuri
2
2019
Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics. Zbl 1415.92093
Kang, Hye-Won; KhudaBukhsh, Wasiur R.; Koeppl, Heinz; Rempała, Grzegorz A.
2
2019
Dynamics of a producer-grazer model incorporating the effects of phosphorus loading on grazer’s growth. Zbl 1415.92202
Asik, Lale; Peace, Angela
2
2019
A model of \(\mathrm{Ca}^{2+}\) dynamics in an accurate reconstruction of parotid acinar cells. Zbl 1415.92075
Pages, Nathan; Vera-Sigüenza, Elías; Rugis, John; Kirk, Vivien; Yule, David I.; Sneyd, James
2
2019
Age structure can account for delayed logistic proliferation of scratch assays. Zbl 1417.92027
Ponce Bobadilla, Ana Victoria; Carraro, Thomas; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás
2
2019
Dynamics of fluorescent imaging for rapid tear thinning. Zbl 1409.92143
Zhong, L.; Braun, R. J.; Begley, C. G.; King-Smith, P. E.
2
2019
An optimal control model to reduce and eradicate anthrax disease in herbivorous animals. Zbl 1409.92146
Croicu, Ana-Maria
2
2019
Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry. Zbl 1410.92077
Kosta, Dimitra; Kubjas, Kaie
2
2019
Identifiability and reconstructibility of species phylogenies under a modified coalescent. Zbl 1410.92078
Long, Colby; Kubatko, Laura
2
2019
Maximum likelihood estimates of rearrangement distance: implementing a representation-theoretic approach. Zbl 1410.92068
Terauds, Venta; Sumner, Jeremy
2
2019
Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079
Bressloff, P. C.; Levien, E.
2
2019
Forecasting epidemics through nonparametric estimation of time-dependent transmission rates using the SEIR model. Zbl 1430.92109
Smirnova, Alexandra; deCamp, Linda; Chowell, Gerardo
2
2019
The impact of recruitment on the dynamics of an immune-suppressed within-human-host model of the Plasmodium falciparum parasite. Zbl 1430.92114
Woldegerima, Woldegebriel A.; Teboh-Ewungkem, Miranda I.; Ngwa, Gideon A.
2
2019
Analysis of dynamics of recurrent epidemics: periodic or non-periodic. Zbl 1430.92093
Cao, Hui; Yan, Dongxue; Zhang, Suxia; Wang, Xiaoqin
2
2019
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2
2019
Compensatory foraging in stoichiometric producer-grazer models. Zbl 1430.92130
Peace, Angela; Wang, Hao
2
2019
Quasi-Monte Carlo methods applied to tau-leaping in stochastic biological systems. Zbl 1422.92066
Beentjes, Casper H. L.; Baker, Ruth E.
1
2019
Stochastic simulation of pattern formation in growing tissue: a multilevel approach. Zbl 1422.92037
Engblom, Stefan
1
2019
Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013
Erlich, Alexander; Moulton, Derek E.; Goriely, Alain
1
2019
Analytical solution and exposure analysis of a pharmacokinetic model with simultaneous elimination pathways and endogenous production: the case of multiple dosing administration. Zbl 1426.92031
Wu, Xiaotian; Nekka, Fahima; Li, Jun
1
2019
Modeling the effect of mucin binding in the gut on drug delivery. Zbl 1426.92028
Saltzman, Jeffrey; Bendtsen, Claus
1
2019
Improving the prediction of local drug distribution profiles in the brain with a new 2D mathematical model. Zbl 1426.92029
Vendel, E.; Rottschäfer, V.; de Lange, E. C. M.
1
2019
Quantitative PET imaging in drug development: estimation of target occupancy. Zbl 1426.92039
Naganawa, Mika; Gallezot, Jean-Dominique; Rossano, Samantha; Carson, Richard E.
1
2019
Ligand binding dynamics for pre-dimerised G protein-coupled receptor homodimers: linear models and analytical solutions. Zbl 1426.92030
White, Carla; Bridge, Lloyd J.
1
2019
Micropharmacology: an in silico approach for assessing drug efficacy within a tumor tissue. Zbl 1426.92024
Karolak, Aleksandra; Rejniak, Katarzyna A.
1
2019
An invitation to pharmacostatics. Zbl 1426.92023
Gnacadja, Gilles
1
2019
Variability of betweenness centrality and its effect on identifying essential genes. Zbl 1426.92022
Durón, Christina; Pan, Yuan; Gutmann, David H.; Hardin, Johanna; Radunskaya, Ami
1
2019
Conductance-based refractory density approach for a population of bursting neurons. Zbl 1427.92024
Chizhov, Anton; Campillo, Fabien; Desroches, Mathieu; Guillamon, Antoni; Rodrigues, Serafim
1
2019
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129 Chen, Lansun
73 Teng, Zhi-dong
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69 Maini, Philip Kumar
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57 Takeuchi, Yasuhiro
55 Xiao, Yanni
54 Song, Xinyu
52 Zhao, Xiao-Qiang
50 Jin, Zhen
48 Chattopadhyay, Joydev
46 Gumel, Abba B.
44 Elaiw, Ahmed M.
44 Sherratt, Jonathan A.
43 Wu, Jianhong
42 Liu, Meng
41 Kuang, Yang
40 Simpson, Matthew J.
39 Banerjee, Malay
39 Gaffney, Eamonn A.
39 Jiang, Daqing
39 Lewis, Mark Alun
39 Xu, Rui
38 Hayat, Tasawar
38 van den Driessche, Pauline
37 Banks, Harvey Thomas
37 Carrillo de la Plata, José Antonio
37 Friedman, Avner
37 Wang, Wendi
37 Wei, Junjie
36 Allen, Linda J. S.
36 Cheke, Robert A.
36 Demiray, Hilmi
36 Feng, Zhilan
36 King, John Robert
36 Lutscher, Frithjof
36 Wang, Ke
36 Zou, Xingfu
35 Kumar Upadhyay, Ranjit
34 Gao, Shujing
34 Nowak, Martin Andreas
34 Qiu, Zhipeng
34 Wang, Jin
33 Broom, Mark
33 Cui, Jingan
33 Meng, Xinzhu
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33 Shi, Junping
33 Wang, Xia
31 Venturino, Ezio
30 Kar, Tapan Kumar
30 Li, Wan-Tong
30 Sun, Guiquan
30 Wang, Jinliang
30 Yakubu, Abdul-Aziz
30 Zhang, Tonghua
29 d’Onofrio, Alberto
29 Layton, Anita T.
29 Li, Xuezhi
29 Lou, Yuan
29 Martcheva, Maia
29 Rong, Libin
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28 Baker, Ruth Elizabeth
28 Freedman, Herbert Irving
28 Liu, Xianning
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28 Samanta, Guru Prasad
28 Yuan, Sanling
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27 Jang, Sophia R.-J.
27 Kang, Yun
27 Ma, Wanbiao
27 Perelson, Alan S.
27 Petrovskii, Sergei V.
27 Wang, Weiming
26 Jiao, Jianjun
26 Lorenzi, Tommaso
26 Painter, Kevin J.
25 Liu, Shengqiang
25 Madzvamuse, Anotida
25 Reidys, Christian Michael
25 Stadler, Peter F.
25 Wang, Hao
24 Bressloff, Paul C.
24 Preziosi, Luigi
24 Samanta, Sudip K.
24 Webb, Glenn Francis
24 Winkler, Michael
24 Zhao, Min
23 Bellomo, Nicola
23 Eftimie, Raluca
23 Hilker, Frank M.
23 Kim, Peter S.
23 Lenhart, Suzanne M.
23 Liu, Qun
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