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: 3,842 Publications (since 1973) References Indexed: 3,203 Publications with 117,494 References. all top 5 Latest Issues 87, No. 1 (2025) 86, No. 12 (2024) 86, No. 11 (2024) 86, No. 10 (2024) 86, No. 9 (2024) 86, No. 8 (2024) 86, No. 7 (2024) 86, No. 6 (2024) 86, No. 5 (2024) 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) ...and 226 more Volumes all top 5 Authors 44 Maini, Philip Kumar 35 Lewis, Mark Alun 29 Byrne, Helen Mary 26 Gaffney, Eamonn A. 24 Perelson, Alan S. 21 Wang, Hao 20 Rosen, Gerald 20 Simpson, Matthew J. 19 Edelstein-Keshet, Leah 19 Sherratt, Jonathan A. 17 King, John Robert 17 Levy, Doron 16 Chaplain, Mark A. J. 16 McElwain, D. L. Sean 16 Powell, James A. 15 Baker, Ruth Elizabeth 15 Britton, Nicholas Ferris 15 Kim, Peter S. 15 van den Driessche, Pauline 14 Hastings, Alan Matthew 14 Myerscough, Mary R. 14 Sneyd, James 13 Friedman, Avner 13 Krause, Andrew L. 13 Painter, Kevin J. 13 Segel, Lee Aaron 13 Tang, Sanyi 12 Gumel, Abba B. 12 Othmer, Hans G. 12 Roose, Tiina 11 Anderson, Alexander R. A. 11 Layton, Anita T. 11 Lutscher, Frithjof 11 Michel, Christian J. 11 van Pelt, Jaap 10 Allen, Linda J. S. 10 Enderling, Heiko 10 Feng, Zhilan 10 Martcheva, Maia 10 Massad, Eduardo 10 Schuster, Peter 10 Stadler, Peter F. 10 Willson, Stephen Jeffrey 10 Xiao, Yanni 10 Zou, Xingfu 9 Brindley, John 9 Eberl, Hermann J. 9 Erban, Radek 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 Moulton, Vincent L. 9 Nisbet, Roger M. 9 Owen, Markus Roger 9 Parnas, Hanna 9 Petrovskii, Sergei V. 9 Plank, Michael J. 9 Ruan, Shigui 9 Steel, Michael Anthony 9 Stone, Lewi 9 Verwer, Ronald W. H. 9 Wang, Yuanshi 9 Waterman, Michael S. 9 Zhu, Huaiping 8 Adler, Frederick R. 8 Bolker, Benjamin M. 8 Broom, Mark 8 Coutinho, Francisco Antonio Bezerra 8 De Boer, Rob J. 8 Earn, David J. D. 8 Flegg, Jennifer A. 8 Gilligan, Christopher A. 8 Hilker, Frank M. 8 Keener, James P. 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 Parvinen, Kalle 8 Peace, Angela 8 Reidys, Christian Michael 8 Schnell, Santiago 8 Tindall, Marcus J. 8 Wu, Jianhong 7 Banerjee, Malay 7 Banks, Harvey Thomas 7 Bertram, Richard 7 Chapman, Stephen Jonathan 7 Conrad, Michael 7 de Vries, Gerda 7 Demiray, Hilmi ...and 6,161 more Authors all top 5 Fields 3,752 Biology and other natural sciences (92-XX) 420 Ordinary differential equations (34-XX) 419 Partial differential equations (35-XX) 294 Probability theory and stochastic processes (60-XX) 226 Numerical analysis (65-XX) 220 Dynamical systems and ergodic theory (37-XX) 168 Systems theory; control (93-XX) 164 Statistics (62-XX) 151 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 127 Fluid mechanics (76-XX) 117 Combinatorics (05-XX) 70 Computer science (68-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 46 Information and communication theory, circuits (94-XX) 44 Difference and functional equations (39-XX) 44 Operations research, mathematical programming (90-XX) 41 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) 13 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) 7 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 Algebraic topology (55-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) 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 2,863 Publications have been cited 31,982 times in 20,298 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. 486 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. 363 1994 Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011 Anderson, A. R. A.; Chaplain, M. A. J. 287 1998 Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026 Shulgin, Boris; Stone, Lewi; Agur, Zvia 249 1998 Global properties of basic virus dynamics models. Zbl 1334.92409 Korobeinikov, Andrei 233 2004 A nonlocal continuum model for biological aggregation. Zbl 1334.92468 Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A. 231 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. 211 2004 Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410 Korobeinikov, Andrei 203 2006 The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024 Freedman, H. I.; Sree Hari Rao, V. 196 1983 Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101 Korobeinikov, Andrei 183 2007 Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030 Tien, Joseph H.; Earn, David J. D. 177 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 170 2011 Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079 Ablowitz, Mark J.; Zeppetella, Anthony 168 1979 HIV-1 infection and low steady state viral loads. Zbl 1334.92227 Callaway, Duncan S.; Perelson, Alan S. 162 2002 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 156 2003 Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017 Freedman, H. I.; Wolkowicz, G. S. K. 155 1986 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081 Garvie, Marcus R. 152 2007 Can a species keep pace with a shifting climate? Zbl 1169.92043 Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 151 2009 Evolutionary game dynamics in finite populations. Zbl 1334.92372 Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A. 148 2004 Persistence in stochastic food web models. Zbl 0533.92028 Gard, Thomas C. 148 1984 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. 148 2011 Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211 Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward 145 2006 Integrated pest management models and their dynamical behaviour. Zbl 1334.91058 Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A. 144 2005 Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028 Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. 141 1999 A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014 Panetta, John Carl 137 1996 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173 Jost, Christian; Arino, Ovide; Arditi, Roger 126 1999 Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040 Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun 117 2010 Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008 Head, T. 115 1987 Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093 Bacaër, Nicolas 114 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. 113 2005 How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181 Owen, M. R.; Lewis, M. A. 111 2001 Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026 Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri 111 1993 Modeling optimal intervention strategies for cholera. Zbl 1201.92045 Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne 110 2010 Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034 Li, Michael Y.; Shu, Hongying 108 2010 Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454 Potapov, A. B.; Lewis, M. A. 102 2004 Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238 Antal, Tibor; Scheuring, István 99 2006 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. 98 1988 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017 Gard, Thomas C.; Hallam, Thomas G. 97 1979 Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419 Ma, Junling; Earn, David J. D. 95 2006 The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519 Hosono, Yuzo 94 1998 Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010 Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur 94 1995 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053 Rong, Libin; Feng, Zhilan; Perelson, Alan S. 92 2007 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069 Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 90 2010 On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040 Ruan, Shigui; Xiao, Dongmei; Beier, John C. 89 2008 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414 Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P. 89 2006 Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095 Wang, Xiaoying; Zou, Xingfu 88 2017 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 85 2004 Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010 Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A. 84 1996 On the origin of tiger bush. Zbl 0903.92031 Lefever, R.; Lejeune, O. 83 1997 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 83 2010 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 83 2015 Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027 Haque, Mainul 82 2009 Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162 Edwards, Andrew M.; Brindley, John 82 1999 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 80 2001 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. 80 2005 The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225 Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A. 79 2006 On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006 Segel, Lee A. 78 1988 Impacts of foraging facilitation among predators on predator-prey dynamics. Zbl 1184.92048 Berec, Luděk 78 2010 Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043 Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi 77 2012 On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040 Zhang, Tailei; Teng, Zhidong 75 2007 The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058 Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang 75 2015 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. 74 2008 Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098 Loladze, Irakli; Kuang, Yang; Elser, James J. 74 2000 Global stability of population models. Zbl 0451.92011 Cull, Paul 72 1981 Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024 Collings, John B. 69 1995 Ocean plankton populations as excitable media. Zbl 0803.92026 Truscott, J. E.; Brindley, J. 69 1994 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; Thieffry, Denis; Kaufman, Marcelle 69 1995 Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011 Duggan, R. C.; Goodman, A. M. 68 1986 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. 68 1999 Chemical reaction systems with toric steady states. Zbl 1251.92016 Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten 67 2012 A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097 Mitchell, Colleen C.; Schaeffer, David G. 66 2003 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021 Beretta, E.; Takeuchi, Y. 64 1987 Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048 Auchmuty, J. F. G.; Nicolis, G. 64 1975 Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035 Crampin, E. J.; Hackborn, W. W.; Maini, P. K. 64 2002 A tuberculosis model with seasonality. Zbl 1191.92027 Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang 63 2010 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. 61 2002 Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040 Li, Michael Y.; Shu, Hongying 61 2011 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060 Elbasha, Elamin H.; Gumel, Abba B. 61 2006 Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185 Tzafriri, A. R. 60 2003 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020 Allen, Linda J. S. 60 1983 Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017 Freedman, H. I.; Mathsen, R. M. 59 1993 Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025 Takeuchi, Yasuhiro; Adachi, Norihiko 58 1983 Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041 Korobeinikov, Andrei 57 2009 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. 57 2015 Algorithms for the optimal identification of segment neighborhoods. Zbl 0658.92010 Auger, Ivan E.; Lawrence, Charles E. 57 1989 Turing patterns from dynamics of early HIV infection. Zbl 1273.92035 Stancevic, O.; Angstmann, C. N.; Murray, J. M.; Henry, B. I. 57 2013 Starvation driven diffusion as a survival strategy of biological organisms. Zbl 1311.92155 Cho, Eunjoo; Kim, Yong-Jung 57 2013 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 57 2011 Enzyme kinetics at high enzyme concentration. Zbl 1323.92099 Schnell, S.; Maini, P. K. 56 2000 A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009 Kirschner, Denise; Webb, G. F. 56 1996 Global stability in time-delayed single-species dynamics. Zbl 0606.92020 Freedman, H. I.; Gopalsamy, K. 55 1986 Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031 Van Kirk, R. W.; Lewis, M. A. 55 1997 Multi-player matrix games. Zbl 0923.92034 Broom, M.; Cannings, C.; Vickers, G. T. 55 1997 Analytical results for individual and group selection of any intensity. Zbl 1144.92035 Traulsen, Arne; Shoresh, Noam; Nowak, Martin A. 55 2008 Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088 Smolen, Paul; Baxter, Douglas A.; Byrne, John H. 55 2000 Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011 Byrne, H. M.; Chaplain, M. A. J. 55 1995 Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis. Zbl 1168.92010 Painter, Kevin J. 54 2009 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 54 2015 Linearized oscillations in population dynamics. Zbl 0634.92013 Kulenović, M. R. S.; Ladas, G. 53 1987 Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371 Tang, Sanyi; Chen, Lansun 53 2003 Parameter identifiability in PDE models of fluorescence recovery after photobleaching. Zbl 1533.92070 Ciocanel, Maria-Veronica; Ding, Lee; Mastromatteo, Lucas; Reichheld, Sarah; Cabral, Sarah; Mowry, Kimberly; Sandstede, Björn 2 2024 Towards inferring network properties from epidemic data. Zbl 1530.92238 Kiss, Istvan Z.; Berthouze, Luc; KhudaBukhsh, Wasiur R. 1 2024 Sexual dimorphism in substrate metabolism during exercise. Zbl 1531.92021 Abo, Stéphanie M. C.; Casella, Elisa; Layton, Anita T. 1 2024 Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling. Zbl 1531.92044 Browning, Alexander P.; Lewin, Thomas D.; Baker, Ruth E.; Maini, Philip K.; Moros, Eduardo G.; Caudell, Jimmy; Byrne, Helen M.; Enderling, Heiko 1 2024 Novel aspects in pattern formation arise from coupling Turing reaction-diffusion and chemotaxis. Zbl 1530.92015 Fraga Delfino Kunz, Camile; Gerisch, Alf; Glover, James; Headon, Denis; Painter, Kevin John; Matthäus, Franziska 1 2024 Turing instabilities are not enough to ensure pattern formation. Zbl 1534.92014 Krause, Andrew L.; Gaffney, Eamonn A.; Jewell, Thomas Jun; Klika, Václav; Walker, Benjamin J. 1 2024 Identifiability of level-1 species networks from gene tree quartets. Zbl 1544.92106 Allman, Elizabeth S.; Baños, Hector; Garrote-Lopez, Marina; Rhodes, John A. 1 2024 Ecological effects of predator harvesting and environmental noises on oceanic coral reefs. Zbl 1519.92341 Zhao, Xin; Liu, Lidan; Wang, Hao; Fan, Meng 8 2023 Kinetic models for epidemic dynamics in the presence of opinion polarization. Zbl 1512.92129 Zanella, Mattia 7 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 6 2023 Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. Zbl 1514.92027 Fritz, Marvin 5 2023 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 5 2023 Asymptotic analysis of optimal vaccination policies. Zbl 1508.92148 Penn, Matthew J.; Donnelly, Christl A. 4 2023 A statistical mechanics approach to describe cell reorientation under stretch. Zbl 1519.92067 Loy, N.; Preziosi, L. 3 2023 A mathematical study of metal biosorption on algal-bacterial granular biofilms. Zbl 1519.92134 Russo, Fabiana; Tenore, Alberto; Mattei, Maria Rosaria; Frunzo, Luigi 3 2023 Macrophage anti-inflammatory behaviour in a multiphase model of atherosclerotic plaque development. Zbl 1512.92011 Ahmed, Ishraq U.; Byrne, Helen M.; Myerscough, Mary R. 3 2023 Controlling biological invasions: a stochastic host-generalist parasitoid model. Zbl 1505.92178 Zhang, Shengqiang; Duan, Xichao; Zhang, Tonghua; Yuan, Sanling 3 2023 A lipid-structured model of atherosclerotic plaque macrophages with lipid-dependent kinetics. Zbl 1521.92043 Watson, Michael G.; Chambers, Keith L.; Myerscough, Mary R. 3 2023 VisualPDE: rapid interactive simulations of partial differential equations. Zbl 07761531 Walker, Benjamin J.; Townsend, Adam K.; Chudasama, Alexander K.; Krause, Andrew L. 3 2023 Labellable phylogenetic networks. Zbl 1514.92070 Francis, Andrew; Steel, Mike 2 2023 Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks. Zbl 1519.92362 Eilertsen, Justin; Schnell, Santiago; Walcher, Sebastian 2 2023 PrEP intervention in the mitigation of HIV/AIDS epidemics in China via a data-validated age-structured model. Zbl 1515.92090 Wu, Peng; Ahmed, Shohel; Wang, Xiunan; Wang, Hao 2 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. 2 2023 Statistical analysis of two-compartment pharmacokinetic models with drug non-adherence. Zbl 1519.92086 Yan, Dingding; Wu, Xiaotian; Li, Jun; Tang, Sanyi 2 2023 Spaces of phylogenetic diversity indices: combinatorial and geometric properties. Zbl 1519.92145 Manson, Kerry; Steel, Mike 2 2023 Modelling cell orientation under stretch: the effect of substrate elasticity. Zbl 1519.92064 Colombi, Annachiara; Preziosi, Luigi; Scianna, Marco 2 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 2 2023 Nonlinear diffusion for bacterial traveling wave phenomenon. Zbl 1512.92048 Kim, Yong-Jung; Mimura, Masayasu; Yoon, Changwook 2 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. 2 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 2 2023 Stochastic fluctuations drive non-genetic evolution of proliferation in clonal cancer cell populations. Zbl 1505.92052 Ortega-Sabater, Carmen; Calvo, Gabriel F.; Dinić, Jelena; Podolski, Ana; Pesic, Milica; Pérez-García, Víctor 2 2023 An adaptive generalized leaky integrate-and-fire model for hippocampal CA1 pyramidal neurons and interneurons. Zbl 1530.92012 Marasco, Addolorata; Spera, Emiliano; De Falco, Vittorio; Iuorio, Annalisa; Lupascu, Carmen Alina; Solinas, Sergio; Migliore, Michele 2 2023 The evolution of the age of onset of resistance to infectious disease. Zbl 1514.92016 Buckingham, Lydia J.; Ashby, Ben 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 COVID-19 vaccination and healthcare demand. Zbl 1514.92057 Betti, Matthew I.; Abouleish, Amira Hassan; Spofford, Victoria; Peddigrew, Cory; Diener, Alan; Heffernan, Jane M. 1 2023 Final size for epidemic models with asymptomatic transmission. Zbl 1519.92239 Barril, Carles; Bliman, Pierre-Alexandre; Cuadrado, Sílvia 1 2023 Quantitative assessment of a dual epidemic caused by tuberculosis and HIV in the Philippines. Zbl 1519.92308 Torres, Monica; Tubay, Jerrold; de los Reyes V, Aurelio 1 2023 Designing weights for quartet-based methods when data are heterogeneous across lineages. Zbl 1519.92141 Casanellas, Marta; Fernández-Sánchez, Jesús; Garrote-López, Marina; Sabaté-Vidales, Marc 1 2023 Chemical systems with limit cycles. Zbl 1519.92363 Erban, Radek; Kang, Hye-Won 1 2023 Scalable Gromov-Wasserstein based comparison of biological time series. Zbl 1519.92005 Kravtsova, Natalia; McGee, Reginald L. II; Dawes, Adriana T. 1 2023 RNA secondary structures with given motif specification: combinatorics and algorithms. Zbl 1508.92181 Chen, Ricky X. F.; Reidys, Christian M.; Waterman, Michael S. 1 2023 Reading frame retrieval of genes: a new parameter of codon usage based on the circular code theory. Zbl 1508.92187 Michel, Christian J.; Sereni, Jean-Sébastien 1 2023 Effects of elasticity on cell proliferation in a tissue-engineering scaffold pore. Zbl 1508.92026 Annunziata, Carlyn; Fattahpour, Haniyeh; Fong, Daniel; Hadjiargyrou, Michael; Sanaei, Pejman 1 2023 Correction to: “Coupling the within-host process and between-host transmission of COVID-19 suggests vaccination and school closures are critical”. Zbl 1508.92153 Xue, Yuyi; Chen, Daipeng; Smith?, Stacey R.; Ruan, Xiaoe; Tang, Sanyi 1 2023 Effects of stage structure on coexistence: mixed benefits. Zbl 1512.92063 Bardon, Gaël; Barraquand, Frédéric 1 2023 Comparison theorems for stochastic chemical reaction networks. Zbl 1512.92025 Campos, Felipe A.; Bruno, Simone; Fu, Yi; Del Vecchio, Domitilla; Williams, Ruth J. 1 2023 Mathematical analysis of epidemic models with treatment in heterogeneous networks. Zbl 1506.92103 Wang, Yi; Cao, Jinde; Xue, Changfeng; Li, Li 1 2023 Stochastic reaction networks within interacting compartments. Zbl 1521.92054 Anderson, David F.; Howells, Aidan S. 1 2023 Forced traveling waves in a reaction-diffusion equation with strong Allee effect and shifting habitat. Zbl 1530.92301 Li, Bingtuan; Otto, Garrett 1 2023 Optimization therapy by coupling intermittent androgen suppression with impulsive chemotherapy for a prostate cancer model. Zbl 1530.92097 Pei, Yongzhen; Lv, Yunfei; Li, Changguo; Fang, Dandan 1 2023 Temporal pattern of the emergence of a mutant virus escaping cross-immunity and stochastic extinction within a host. Zbl 1522.92037 Hayashi, Rena; Iwasa, Yoh 1 2023 A continuation technique for maximum likelihood estimators in biological models. Zbl 1522.92012 Cassidy, Tyler 1 2023 Agent-based and continuum models for spatial dynamics of infection by oncolytic viruses. Zbl 1522.92033 Morselli, David; Delitala, Marcello Edoardo; Frascoli, Federico 1 2023 Direct estimation of parameters in ODE models using WENDy: weak-form estimation of nonlinear dynamics. Zbl 1526.92048 Bortz, David M.; Messenger, Daniel A.; Dukic, Vanja 1 2023 Free and interfacial boundaries in individual-based models of multicellular biological systems. Zbl 1526.92020 Germano, Domenic P. J.; Zanca, Adriana; Johnston, Stuart T.; Flegg, Jennifer A.; Osborne, James M. 1 2023 Control strategies for a multi-strain epidemic model. Zbl 1478.92208 Lou, Yuan; Salako, Rachidi B. 14 2022 A multiscale model of COVID-19 dynamics. Zbl 1497.92310 Wang, Xueying; Wang, Sunpeng; Wang, Jin; Rong, Libin 11 2022 Derivation and analysis of a discrete predator-prey model. Zbl 1497.92214 Streipert, Sabrina H.; Wolkowicz, Gail S. K.; Bohner, Martin 11 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 10 2022 Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion. Zbl 1478.92255 Yan, Yawen; Zhang, Jimin; Wang, Hao 9 2022 Orchard networks are trees with additional horizontal arcs. Zbl 1501.92097 van Iersel, Leo; Janssen, Remie; Jones, Mark; Murakami, Yukihiro 8 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 7 2022 Reaction network analysis of metabolic insulin signaling. Zbl 1500.92034 Lubenia, Patrick Vincent N.; Mendoza, Eduardo R.; Lao, Angelyn R. 7 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 An epidemic model with time-distributed recovery and death rates. Zbl 1497.92257 Ghosh, Samiran; Volpert, Vitaly; Banerjee, Malay 6 2022 Ancestral lineages in mutation selection equilibria with moving optimum. Zbl 1497.92176 Forien, Raphaël; Garnier, Jimmy; Patout, Florian 6 2022 The impact of phenotypic heterogeneity on chemotactic self-organisation. Zbl 1508.92030 Macfarlane, Fiona R.; Lorenzi, Tommaso; Painter, Kevin J. 6 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 5 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 5 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 5 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 4 2022 Balancing quarantine and self-distancing measures in adaptive epidemic networks. Zbl 1497.92153 Horstmeyer, Leonhard; Kuehn, Christian; Thurner, Stefan 4 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. 4 2022 Multistationarity in cyclic sequestration-transmutation networks. Zbl 1491.92068 Craciun, Gheorghe; Joshi, Badal; Pantea, Casian; Tan, Ike 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 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 4 2022 Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis. Zbl 1489.35286 Conte, Martina; Loy, Nadia 4 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 4 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 4 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 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. 3 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. 3 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 3 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 3 2022 An analytical approach of one-compartmental pharmacokinetic models with sigmoidal Hill elimination. Zbl 1506.92045 Wu, Xiaotian; Zhang, Hao; Li, Jun 3 2022 Forest-based networks. Zbl 1498.92134 Huber, K. T.; Moulton, V.; Scholz, G. E. 3 2022 A mosquito population suppression model by releasing Wolbachia-infected males. Zbl 1498.92318 Liu, Yunfeng; Yu, Jianshe; Li, Jia 3 2022 Disease-induced hydra effect with overcompensatory recruitment. Zbl 1484.92112 Jaramillo, J. M.; Ma, Junling; van den Driessche, P.; Yakubu, Abdul-Aziz 3 2022 Designing drug regimens that mitigate nonadherence. Zbl 1484.92038 Counterman, Elijah D.; Lawley, Sean D. 3 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 3 2022 Modeling the dynamics of heroin and illicit opioid use disorder, treatment, and recovery. Zbl 1486.92216 Cole, Sandra; Wirkus, Stephen 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 A Fisher-KPP model with a nonlocal weighted free boundary: analysis of how habitat boundaries expand, balance or shrink. Zbl 1485.92175 Feng, Chunxi; Lewis, Mark A.; Wang, Chuncheng; Wang, Hao 3 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 3 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 3 2022 A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011 Park, Jeungeun; Aminzare, Zahra 2 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. 2 2022 Modeling transport regulation in gene regulatory networks. Zbl 1497.92099 Fox, Erika; Cummins, Bree; Duncan, William; Gedeon, Tomáš 2 2022 Fixed and distributed gene expression time delays in reaction-diffusion systems. Zbl 1497.92093 Sargood, Alec; Gaffney, Eamonn A.; Krause, Andrew L. 2 2022 Identifiable paths and cycles in linear compartmental models. Zbl 1486.92064 Bortner, Cashous; Meshkat, Nicolette 2 2022 ...and 1358 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 23,987 Authors 133 Chen, Lansun 109 Wang, Hao 105 Teng, Zhi-dong 97 Jiang, Daqing 96 Tang, Sanyi 93 Maini, Philip Kumar 80 Byrne, Helen Mary 79 Jin, Zhen 76 Chaplain, Mark A. 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