Bulletin of Mathematical BiologyA 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: https://link.springer.com/journal/11538/volumes-and-issueshttps://www.sciencedirect.com/journal/bulletin-of-mathematical-biology Predecessor: The Bulletin of Mathematical Biophysics Comments: Journal; Indexed cover-to-cover Documents Indexed: 3,729 Publications (since 1973) References Indexed: 3,089 Publications with 111,860 References. all top 5 Latest Issues 86, No. 4 (2024) 86, No. 3 (2024) 86, No. 2 (2024) 86, No. 1 (2024) 85, No. 12 (2023) 85, No. 11 (2023) 85, No. 10 (2023) 85, No. 9 (2023) 85, No. 8 (2023) 85, No. 7 (2023) 85, No. 6 (2023) 85, No. 5 (2023) 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) 84, No. 8 (2022) 84, No. 7 (2022) 84, No. 6 (2022) 84, No. 5 (2022) 84, No. 4 (2022) 84, No. 3 (2022) 84, No. 2 (2022) 84, No. 1 (2022) 83, No. 12 (2021) 83, No. 11 (2021) 83, No. 10 (2021) 83, No. 9 (2021) 83, No. 8 (2021) 83, No. 7 (2021) 83, No. 6 (2021) 83, No. 5 (2021) 83, No. 4 (2021) 83, No. 3 (2021) 83, No. 2 (2021) 83, No. 1 (2021) 82, No. 12 (2020) 82, No. 11 (2020) 82, No. 10 (2020) 82, No. 9 (2020) 82, No. 8 (2020) 82, No. 7 (2020) 82, No. 6 (2020) 82, No. 5 (2020) 82, No. 4 (2020) 82, No. 3 (2020) 82, No. 2 (2020) 82, No. 1 (2020) 81, No. 12 (2019) 81, No. 11 (2019) 81, No. 10 (2019) 81, No. 9 (2019) 81, No. 8 (2019) 81, No. 7 (2019) 81, No. 6 (2019) 81, No. 5 (2019) 81, No. 4 (2019) 81, No. 3 (2019) 81, No. 2 (2019) 81, No. 1 (2019) 80, No. 12 (2018) 80, No. 11 (2018) 80, No. 10 (2018) 80, No. 9 (2018) 80, No. 8 (2018) 80, No. 7 (2018) 80, No. 6 (2018) 80, No. 5 (2018) 80, No. 4 (2018) 80, No. 3 (2018) 80, No. 2 (2018) 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) 79, No. 6 (2017) 79, No. 5 (2017) 79, No. 4 (2017) 79, No. 3 (2017) 79, No. 2 (2017) 79, No. 1 (2017) 78, No. 12 (2016) 78, No. 11 (2016) 78, No. 10 (2016) 78, No. 9 (2016) 78, No. 8 (2016) 78, No. 7 (2016) 78, No. 6 (2016) 78, No. 5 (2016) 78, No. 4 (2016) 78, No. 3 (2016) 78, No. 2 (2016) 78, No. 1 (2016) ...and 217 more Volumes all top 5 Authors 44 Maini, Philip Kumar 34 Lewis, Mark Alun 27 Byrne, Helen Mary 26 Gaffney, Eamonn A. 24 Perelson, Alan S. 20 Rosen, Gerald 19 Sherratt, Jonathan A. 18 Simpson, Matthew J. 17 Edelstein-Keshet, Leah 17 King, John Robert 16 Chaplain, Mark A. J. 16 Levy, Doron 16 McElwain, D. L. Sean 16 Powell, James A. 16 Wang, Hao 15 Britton, Nicholas Ferris 15 Kim, Peter S. 15 van den Driessche, Pauline 14 Baker, Ruth Elizabeth 14 Hastings, Alan Matthew 13 Friedman, Avner 13 Krause, Andrew L. 13 Segel, Lee Aaron 13 Sneyd, James 13 Tang, Sanyi 12 Myerscough, Mary R. 12 Othmer, Hans G. 12 Roose, Tiina 11 Gumel, Abba B. 11 Layton, Anita T. 11 van Pelt, Jaap 10 Allen, Linda J. S. 10 Anderson, Alexander R. A. 10 Enderling, Heiko 10 Feng, Zhilan 10 Lutscher, Frithjof 10 Martcheva, Maia 10 Massad, Eduardo 10 Michel, Christian J. 10 Painter, Kevin J. 10 Schuster, Peter 10 Stadler, Peter F. 10 Willson, Stephen Jeffrey 9 Brindley, John 9 Eberl, Hermann J. 9 Freedman, Herbert Irving 9 Gedeon, Tomáš 9 Gyllenberg, Mats 9 Huber, Katharina T. 9 Kiss, István Z. 9 Kuang, Yang 9 Lenhart, Suzanne M. 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 Erban, Radek 8 Gilligan, Christopher A. 8 Hilker, Frank M. 8 Komarova, Natalia L. 8 Landman, Kerry A. 8 Layton, Harold E. 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 Steel, Michael Anthony 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 Flegg, Jennifer A. 7 Fowler, Andrew C. 7 Franks, Nigel R. 7 Gopalsamy, Kondalsamy ...and 5,926 more Authors all top 5 Fields 3,644 Biology and other natural sciences (92-XX) 404 Partial differential equations (35-XX) 400 Ordinary differential equations (34-XX) 291 Probability theory and stochastic processes (60-XX) 225 Numerical analysis (65-XX) 219 Dynamical systems and ergodic theory (37-XX) 168 Systems theory; control (93-XX) 156 Statistics (62-XX) 145 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 127 Fluid mechanics (76-XX) 112 Combinatorics (05-XX) 68 Computer science (68-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 46 Information and communication theory, circuits (94-XX) 43 Difference and functional equations (39-XX) 42 Operations research, mathematical programming (90-XX) 40 General and overarching topics; collections (00-XX) 38 Integral equations (45-XX) 38 Classical thermodynamics, heat transfer (80-XX) 33 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 Algebraic geometry (14-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 4 Commutative algebra (13-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 Group theory and generalizations (20-XX) 3 Real functions (26-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 Special functions (33-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,752 Publications have been cited 28,826 times in 18,271 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. 419 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. 315 1994 Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011 Anderson, A. R. A.; Chaplain, M. A. J. 255 1998 Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026 Shulgin, Boris; Stone, Lewi; Agur, Zvia 236 1998 Global properties of basic virus dynamics models. Zbl 1334.92409 Korobeinikov, Andrei 216 2004 A nonlocal continuum model for biological aggregation. Zbl 1334.92468 Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A. 212 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. 197 2004 Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410 Korobeinikov, Andrei 195 2006 The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024 Freedman, H. I.; Sree Hari Rao, V. 184 1983 Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101 Korobeinikov, Andrei 173 2007 Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030 Tien, Joseph H.; Earn, David J. D. 160 2010 Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059 Liu, Meng; Wang, Ke; Wu, Qiong 156 2011 HIV-1 infection and low steady state viral loads. Zbl 1334.92227 Callaway, Duncan S.; Perelson, Alan S. 149 2002 Persistence in stochastic food web models. Zbl 0533.92028 Gard, Thomas C. 140 1984 Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079 Ablowitz, Mark J.; Zeppetella, Anthony 140 1979 Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017 Freedman, H. I.; Wolkowicz, G. S. K. 137 1986 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. 135 2011 Can a species keep pace with a shifting climate? Zbl 1169.92043 Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 134 2009 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 134 2003 Integrated pest management models and their dynamical behaviour. Zbl 1334.91058 Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A. 133 2005 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081 Garvie, Marcus R. 132 2007 Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028 Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. 131 1999 Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211 Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward 128 2006 Evolutionary game dynamics in finite populations. Zbl 1334.92372 Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A. 128 2004 A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014 Panetta, John Carl 124 1996 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173 Jost, Christian; Arino, Ovide; Arditi, Roger 118 1999 Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008 Head, T. 113 1987 Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093 BacaĂ«r, Nicolas 111 2007 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. 106 2005 Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026 Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri 103 1993 How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181 Owen, M. R.; Lewis, M. A. 103 2001 Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040 Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun 101 2010 Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034 Li, Michael Y.; Shu, Hongying 100 2010 Modeling optimal intervention strategies for cholera. Zbl 1201.92045 Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne 97 2010 Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454 Potapov, A. B.; Lewis, M. A. 95 2004 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. 89 1988 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017 Gard, Thomas C.; Hallam, Thomas G. 89 1979 The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519 Hosono, Yuzo 88 1998 Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419 Ma, Junling; Earn, David J. D. 86 2006 Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010 Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur 85 1995 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 84 2007 Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238 Antal, Tibor; Scheuring, István 83 2006 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069 Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 81 2010 The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225 Colizza, V.; Barrat, A.; BarthĂ©lemy, M.; Vespignani, A. 79 2006 On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040 Ruan, Shigui; Xiao, Dongmei; Beier, John C. 78 2008 Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010 Borghans, JosĂ© A. M.; de Boer, Rob J.; Segel, Lee A. 77 1996 Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162 Edwards, Andrew M.; Brindley, John 77 1999 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414 Lewis, Mark; RencĹ‚awowicz, Joanna; van den Driessche, P. 75 2006 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 74 2010 On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006 Segel, Lee A. 73 1988 On the origin of tiger bush. Zbl 0903.92031 Lefever, R.; Lejeune, O. 73 1997 Qualitative simulation of genetic regulatory networks using piecewise-linear models. Zbl 1334.92282 de Jong, Hidde; GouzĂ©, Jean-Luc; Hernandez, CĂ©line; Page, Michel; Sari, Tewfik; Geiselmann, Johannes 73 2004 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. 73 2005 Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043 Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi 72 2012 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. 71 2008 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 71 2001 On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040 Zhang, Tailei; Teng, Zhidong 70 2007 Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027 Haque, Mainul 70 2009 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 70 2015 Global stability of population models. Zbl 0451.92011 Cull, Paul 69 1981 The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058 Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang 67 2015 A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097 Mitchell, Colleen C.; Schaeffer, David G. 67 2003 Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011 Duggan, R. C.; Goodman, A. M. 66 1986 Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095 Wang, Xiaoying; Zou, Xingfu 66 2017 Chemical reaction systems with toric steady states. Zbl 1251.92016 Millán, Mercedes PĂ©rez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten 64 2012 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021 Beretta, E.; Takeuchi, Y. 62 1987 Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024 Collings, John B. 62 1995 Ocean plankton populations as excitable media. Zbl 0803.92026 Truscott, J. E.; Brindley, J. 61 1994 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020 Allen, Linda J. S. 60 1983 Impacts of foraging facilitation among predators on predator-prey dynamics. Zbl 1184.92048 Berec, LudÄ›k 60 2010 A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026 Barrio, R. A.; Varea, C.; AragĂłn, J. L.; Maini, P. K. 60 1999 Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098 Loladze, Irakli; Kuang, Yang; Elser, James J. 60 2000 Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035 Crampin, E. J.; Hackborn, W. W.; Maini, P. K. 59 2002 A tuberculosis model with seasonality. Zbl 1191.92027 Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang 58 2010 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, RenĂ©; Thieffry, Denis; Kaufman, Marcelle 58 1995 Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041 Korobeinikov, Andrei 56 2009 Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048 Auchmuty, J. F. G.; Nicolis, G. 56 1975 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060 Elbasha, Elamin H.; Gumel, Abba B. 56 2006 A nonlocal model for contact attraction and repulsion in heterogeneous cell populations. Zbl 1335.92026 Painter, K. J.; Bloomfield, J. M.; Sherratt, J. A.; Gerisch, A. 55 2015 Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185 Tzafriri, A. R. 55 2003 Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017 Freedman, H. I.; Mathsen, R. M. 54 1993 Analytical results for individual and group selection of any intensity. Zbl 1144.92035 Traulsen, Arne; Shoresh, Noam; Nowak, Martin A. 54 2008 Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040 Li, Michael Y.; Shu, Hongying 53 2011 Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025 Takeuchi, Yasuhiro; Adachi, Norihiko 53 1983 Global stability in time-delayed single-species dynamics. Zbl 0606.92020 Freedman, H. I.; Gopalsamy, K. 53 1986 Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031 Van Kirk, R. W.; Lewis, M. A. 53 1997 Linearized oscillations in population dynamics. Zbl 0634.92013 Kulenović, M. R. S.; Ladas, G. 52 1987 A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009 Kirschner, Denise; Webb, G. F. 52 1996 Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371 Tang, Sanyi; Chen, Lansun 52 2003 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, BenoĂ®t 52 2015 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. 51 2002 Modelling the dynamics of West Nile virus. Zbl 1334.92397 Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal 51 2005 Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey. Zbl 1215.92061 González-Olivares, Eduardo; Rojas-Palma, Alejandro 50 2011 Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis. Zbl 1168.92010 Painter, Kevin J. 50 2009 Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088 Smolen, Paul; Baxter, Douglas A.; Byrne, John H. 50 2000 Enzyme kinetics at high enzyme concentration. Zbl 1323.92099 Schnell, S.; Maini, P. K. 50 2000 Algorithms for the optimal identification of segment neighborhoods. Zbl 0658.92010 Auger, Ivan E.; Lawrence, Charles E. 49 1989 Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011 Byrne, H. M.; Chaplain, M. A. J. 49 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. 49 2006 Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Zbl 1296.92195 Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 48 2007 Novel aspects in pattern formation arise from coupling Turing reaction-diffusion and chemotaxis. Zbl 07786968 Fraga Delfino Kunz, Camile; Gerisch, Alf; Glover, James; Headon, Denis; Painter, Kevin John; Matthäus, Franziska 1 2024 Reframing optimal control problems for infectious disease management in low-income countries. Zbl 1512.92106 Igoe, Morganne; Casagrandi, Renato; Gatto, Marino; Hoover, Christopher M.; Mari, Lorenzo; Ngonghala, Calistus N.; Remais, Justin V.; Sanchirico, James N.; Sokolow, Susanne H.; Lenhart, Suzanne; de Leo, Giulio 3 2023 A statistical mechanics approach to describe cell reorientation under stretch. Zbl 1519.92067 Loy, N.; Preziosi, L. 2 2023 Asymptotic analysis of optimal vaccination policies. Zbl 1508.92148 Penn, Matthew J.; Donnelly, Christl A. 2 2023 Nonlinear diffusion for bacterial traveling wave phenomenon. Zbl 1512.92048 Kim, Yong-Jung; Mimura, Masayasu; Yoon, Changwook 2 2023 VisualPDE: rapid interactive simulations of partial differential equations. Zbl 07761531 Walker, Benjamin J.; Townsend, Adam K.; Chudasama, Alexander K.; Krause, Andrew L. 1 2023 Forced traveling waves in a reaction-diffusion equation with strong Allee effect and shifting habitat. Zbl 07775815 Li, Bingtuan; Otto, Garrett 1 2023 The role of mobility in the dynamics of the COVID-19 epidemic in Andalusia. Zbl 1519.92297 Rapti, Z.; Cuevas-Maraver, J.; Kontou, E.; Liu, S.; Drossinos, Y.; Kevrekidis, P. G.; Barmann, M.; Chen, Q.-Y.; Kevrekidis, G. A. 1 2023 Ecological effects of predator harvesting and environmental noises on oceanic coral reefs. Zbl 1519.92341 Zhao, Xin; Liu, Lidan; Wang, Hao; Fan, Meng 1 2023 A mathematical study of metal biosorption on algal-bacterial granular biofilms. Zbl 1519.92134 Russo, Fabiana; Tenore, Alberto; Mattei, Maria Rosaria; Frunzo, Luigi 1 2023 Chemical systems with limit cycles. Zbl 1519.92363 Erban, Radek; Kang, Hye-Won 1 2023 Modelling cell orientation under stretch: the effect of substrate elasticity. Zbl 1519.92064 Colombi, Annachiara; Preziosi, Luigi; Scianna, Marco 1 2023 Stochastic reaction networks within interacting compartments. Zbl 1521.92054 Anderson, David F.; Howells, Aidan S. 1 2023 Controlling biological invasions: a stochastic host-generalist parasitoid model. Zbl 1505.92178 Zhang, Shengqiang; Duan, Xichao; Zhang, Tonghua; Yuan, Sanling 1 2023 Coupling the within-host process and between-host transmission of COVID-19 suggests vaccination and school closures are critical. Zbl 1505.92127 Xue, Yuyi; Chen, Daipeng; Smith?, Stacey R.; Ruan, Xiaoe; Tang, Sanyi 1 2023 Modeling syphilis and HIV coinfection: a case study in the USA. Zbl 1508.92301 Wang, Cheng-Long; Gao, Shasha; Li, Xue-Zhi; Martcheva, Maia 1 2023 A spatial kinetic model of crowd evacuation dynamics with infectious disease contagion. Zbl 1524.76035 Agnelli, Juan Pablo; Buffa, Bruno; Knopoff, Damián; Torres, Germán 1 2023 Minimal morphoelastic models of solid tumour spheroids: a tutorial. Zbl 1512.92004 Walker, Benjamin J.; Celora, Giulia L.; Goriely, Alain; Moulton, Derek E.; Byrne, Helen M. 1 2023 Optimal interruption of P. vivax malaria transmission using mass drug administration. Zbl 1514.92056 Anwar, Md Nurul; Hickson, Roslyn I.; Mehra, Somya; Price, David J.; McCaw, James M.; Flegg, Mark B.; Flegg, Jennifer A. 1 2023 Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. Zbl 1514.92027 Fritz, Marvin 1 2023 Control strategies for a multi-strain epidemic model. Zbl 1478.92208 Lou, Yuan; Salako, Rachidi B. 6 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 6 2022 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 5 2022 Ancestral lineages in mutation selection equilibria with moving optimum. Zbl 1497.92176 Forien, RaphaĂ«l; Garnier, Jimmy; Patout, Florian 5 2022 Orchard networks are trees with additional horizontal arcs. Zbl 1501.92097 van Iersel, Leo; Janssen, Remie; Jones, Mark; Murakami, Yukihiro 4 2022 A multiscale model of COVID-19 dynamics. Zbl 1497.92310 Wang, Xueying; Wang, Sunpeng; Wang, Jin; Rong, Libin 4 2022 Controlling multiple COVID-19 epidemic waves: an insight from a multi-scale model linking the behaviour change dynamics to the disease transmission dynamics. Zbl 1498.92262 Tang, Biao; Zhou, Weike; Wang, Xia; Wu, Hulin; Xiao, Yanni 4 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. 4 2022 The hard lessons and shifting modeling trends of COVID-19 dynamics: multiresolution modeling approach. Zbl 1478.92172 Akman, Olcay; Chauhan, Sudipa; Ghosh, Aditi; Liesman, Sara; Michael, Edwin; Mubayi, Anuj; Perlin, Rebecca; Seshaiyer, Padmanabhan; Tripathi, Jai Prakash 3 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 3 2022 Evaluating strategies for tuberculosis to achieve the goals of WHO in China: a seasonal age-structured model study. Zbl 1492.92124 Xue, Ling; Jing, Shuanglin; Wang, Hao 3 2022 Multistationarity in cyclic sequestration-transmutation networks. Zbl 1491.92068 Craciun, Gheorghe; Joshi, Badal; Pantea, Casian; Tan, Ike 3 2022 Testing and isolation efficacy: insights from a simple epidemic model. Zbl 1497.92256 Gharouni, Ali; Abdelmalek, Fred M.; Earn, David J. D.; Dushoff, Jonathan; Bolker, Benjamin M. 3 2022 Derivation and analysis of a discrete predator-prey model. Zbl 1497.92214 Streipert, Sabrina H.; Wolkowicz, Gail S. K.; Bohner, Martin 3 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 3 2022 An epidemic model with time-distributed recovery and death rates. Zbl 1497.92257 Ghosh, Samiran; Volpert, Vitaly; Banerjee, Malay 3 2022 Balancing quarantine and self-distancing measures in adaptive epidemic networks. Zbl 1497.92153 Horstmeyer, Leonhard; Kuehn, Christian; Thurner, Stefan 3 2022 Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion. Zbl 1478.92255 Yan, Yawen; Zhang, Jimin; Wang, Hao 2 2022 A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011 Park, Jeungeun; Aminzare, Zahra 2 2022 Identifiable paths and cycles in linear compartmental models. Zbl 1486.92064 Bortner, Cashous; Meshkat, Nicolette 2 2022 A multiscale mathematical model of Plasmodium vivax transmission. Zbl 1497.92227 Anwar, Md Nurul; Hickson, Roslyn I.; Mehra, Somya; McCaw, James M.; Flegg, Jennifer A. 2 2022 Modeling transport regulation in gene regulatory networks. Zbl 1497.92099 Fox, Erika; Cummins, Bree; Duncan, William; Gedeon, Tomáš 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 2 2022 Model-based projection of Zika infection risk with temperature effect: a case study in Southeast Asia. Zbl 1497.92336 Zhu, Guanghu; Shi, Yuanyuan; Li, Yuye; Xiao, Gaoxi; Xiao, Jianpeng; Liu, Qihuai 2 2022 Wolbachia dynamics in mosquitoes with incomplete CI and imperfect maternal transmission by a DDE system. Zbl 1497.92215 Su, Ying; Zheng, Bo; Zou, Xingfu 2 2022 Analysing the effect of test-and-trace strategy in an SIR epidemic model. Zbl 1498.92281 Zhang, Dongni; Britton, Tom 2 2022 An analytical approach of one-compartmental pharmacokinetic models with sigmoidal Hill elimination. Zbl 1506.92045 Wu, Xiaotian; Zhang, Hao; Li, Jun 2 2022 Reaction network analysis of metabolic insulin signaling. Zbl 1500.92034 Lubenia, Patrick Vincent N.; Mendoza, Eduardo R.; Lao, Angelyn R. 2 2022 The impact of phenotypic heterogeneity on chemotactic self-organisation. Zbl 1508.92030 Macfarlane, Fiona R.; Lorenzi, Tommaso; Painter, Kevin J. 2 2022 Obituary: Edmund John Crampin (1973–2021). Zbl 1480.01049 Maini, Philip K.; Hunter, Peter J.; Gawthrop, Peter J.; Smith, Nic P. 2 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 2 2022 A comparison of deterministic and stochastic plant-vector-virus models based on probability of disease extinction and outbreak. Zbl 1486.92253 Maity, Sunil; Mandal, Partha Sarathi 2 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 Stochastic modeling of in vitro bactericidal potency. Zbl 1478.92122 Bogdanov, Anita; Kevei, PĂ©ter; Szalai, MátĂ©; Virok, DezsĹ‘ 1 2022 The effects of migration and limited medical resources of the transmission of SARS-CoV-2 model with two patches. Zbl 1486.92234 Hu, Lin; Wang, Shengfu; Zheng, Tingting; Hu, Zhenxiang; Kang, Yuenan; Nie, Lin-Fei; Teng, Zhidong 1 2022 Mathematical modeling of tumor and cancer stem cells treated with CAR-T therapy and inhibition of TGF-\(\beta\). Zbl 1486.92089 Swanson, Ellen R.; Köse, Emek; Zollinger, Elizabeth A.; Elliott, Samantha L. 1 2022 Allee effects plus noise induce population dynamics resembling binary Markov highs and lows. Zbl 1497.92201 Gordillo, Luis F.; Greenwood, Priscilla E. 1 2022 Host diversification may split epidemic spread into two successive fronts advancing at different speeds. Zbl 1491.92111 Hamelin, F. M.; Mammeri, Y.; Aigu, Y.; Strelkov, S. E.; Lewis, M. A. 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 Effect of human behavior on the evolution of viral strains during an epidemic. Zbl 1505.92136 Azizi, Asma; Kazanci, Caner; Komarova, Natalia L.; Wodarz, Dominik 1 2022 A mean-field approximation of SIR epidemics on an Erdös-RĂ©nyi network model. Zbl 1497.92253 DurĂłn, Christina; Farrell, Alex 1 2022 Relation between the number of peaks and the number of reciprocal sign epistatic interactions. Zbl 1497.92180 Saona, Raimundo; Kondrashov, Fyodor A.; Khudiakova, Ksenia A. 1 2022 Combining mechanisms of growth arrest in solid tumours: a mathematical investigation. Zbl 1497.92049 Colson, ChloĂ©; Byrne, Helen M.; Maini, Philip K. 1 2022 Mathematical modeling and analysis of CD200-CD200R in cancer treatment. Zbl 1497.92123 Liao, Kang-Ling; Watt, Kenton D. 1 2022 Structural features of microvascular networks trigger blood flow oscillations. Zbl 1497.92072 Ben-Ami, Y.; Atkinson, G. W.; Pitt-Francis, J. M.; Maini, P. K.; Byrne, H. M. 1 2022 Travelling-wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth. Zbl 1497.92119 Jepson, Jacob M.; Fadai, Nabil T.; O’Dea, Reuben D. 1 2022 A hybrid epidemic model to explore stochasticity in COVID-19 dynamics. Zbl 1497.92266 Hwang, Karen K. L.; Edholm, Christina J.; Saucedo, Omar; Allen, Linda J. S.; Shakiba, Nika 1 2022 Analysis of the geographic transmission differences of COVID-19 in China caused by population movement and population density. Zbl 1497.92265 Hu, Yi; Wang, Kaifa; Wang, Wendi 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 Turing instabilities and rotating spiral waves in glycolytic processes. Zbl 1497.92087 Cisneros-Ake, Luis A.; Gonzalez-Rodriguez, Juan C.; González-RamĂrez, Laura R. 1 2022 Assessing age-specific vaccination strategies and post-vaccination reopening policies for COVID-19 control using SEIR modeling approach. Zbl 1498.92119 Wang, Xia; Wu, Hulin; Tang, Sanyi 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 Performance study of two serial interconnected chemostats with mortality. Zbl 1498.92123 Dali-Youcef, Manel; Rapaport, Alain; Sari, Tewfik 1 2022 On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity. Zbl 1498.92149 Chang, Youngseok; Choi, Wonhyung; Ahn, Inkyung 1 2022 Cell repolarization: a bifurcation study of spatio-temporal perturbations of polar cells. Zbl 1498.92076 Buttenschön, Andreas; Edelstein-Keshet, Leah 1 2022 A comparison study of predator-prey model in deterministic and stochastic environments with the impacts of fear and habitat complexity. Zbl 1498.92173 Mondal, Sudeshna; Samanta, Guruprasad; De la Sen, Manuel 1 2022 Understanding the role of environmental transmission on COVID-19 herd immunity and invasion potential. Zbl 1498.92232 Masud, M. A.; Islam, Md. Hamidul; Kim, Byul Nim 1 2022 Mathematical study of a resource-based diffusion model with Gilpin-Ayala growth and harvesting. Zbl 1498.92184 Zahan, Ishrat; Kamrujjaman, Md.; Tanveer, Saleh 1 2022 Long-term forecast of HIV/AIDS epidemic in China with fear effect and 90-90-90 strategies. Zbl 1500.92122 Xue, Ling; Zhang, Kai; Wang, Hao 1 2022 A stage-structured continuous-/discrete-time population model: persistence and spatial spread. Zbl 1503.92059 Wang, Minglong; Zhang, Yuxiang; Huang, Qihua 1 2022 Mathematical modelling of dengue transmission with intervention strategies using fractional derivatives. Zbl 1510.92207 Hamdan, Nur ’Izzati; Kilicman, Adem 1 2022 The tumor invasion paradox in cancer stem cell-driven solid tumors. Zbl 1503.92029 Shyntar, Alexandra; Patel, Ashna; Rhodes, Meghan; Enderling, Heiko; Hillen, Thomas 1 2022 A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response. Zbl 1503.92026 Almeida, Luis; Audebert, Chloe; Leschiera, Emma; Lorenzi, Tommaso 1 2022 Disease-induced hydra effect with overcompensatory recruitment. Zbl 1484.92112 Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yakubu, Abdul-Aziz 1 2022 Designing drug regimens that mitigate nonadherence. Zbl 1484.92038 Counterman, Elijah D.; Lawley, Sean D. 1 2022 Modeling the interplay between seasonal flu outcomes and individual vaccination decisions. Zbl 1486.92113 Papst, Irena; O’Keeffe, Kevin P.; Strogatz, Steven H. 1 2022 Back to the roots: a discrete Kermack-McKendrick model adapted to Covid-19. Zbl 1486.92244 Kreck, Matthias; Scholz, Erhard 1 2022 The impact of quarantine and medical resources on the control of COVID-19 in Wuhan based on a household model. Zbl 1486.92223 Feng, Shanshan; Zhang, Juping; Li, Juan; Luo, Xiao-Feng; Zhu, Huaiping; Li, Michael Y.; Jin, Zhen 1 2022 Modeling the dynamics of heroin and illicit opioid use disorder, treatment, and recovery. Zbl 1486.92216 Cole, Sandra; Wirkus, Stephen 1 2022 Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129 Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua 19 2021 Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality. Zbl 1464.35370 Li, Fuxiang; Zhao, Xiao-Qiang 15 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 15 2021 Bespoke Turing systems. Zbl 1460.92028 Woolley, Thomas E.; Krause, Andrew L.; Gaffney, Eamonn A. 13 2021 Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 13 2021 Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034 Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A. 10 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 9 2021 Invading and receding sharp-fronted travelling waves. Zbl 1460.92232 El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J. 9 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 8 2021 ...and 1382 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 21,881 Authors 129 Chen, Lansun 100 Teng, Zhi-dong 86 Tang, Sanyi 85 Jiang, Daqing 84 Maini, Philip Kumar 83 Wang, Hao 78 Byrne, Helen Mary 74 Chaplain, Mark A. 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