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: http://link.springer.com/journal/volumesAndIssues/11538http://www.sciencedirect.com/science/journal/00928240 Predecessor: The Bulletin of Mathematical Biophysics Comments: Indexed cover-to-cover Documents Indexed: 3,596 Publications (since 1973) References Indexed: 2,957 Publications with 105,380 References. all top 5 Latest Issues 85, No. 4 (2023) 85, No. 3 (2023) 85, No. 2 (2023) 85, No. 1 (2023) 84, No. 12 (2022) 84, No. 11 (2022) 84, No. 10 (2022) 84, No. 9 (2022) 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) 77, No. 12 (2015) 77, No. 11 (2015) 77, No. 10 (2015) 77, No. 9 (2015) 77, No. 8 (2015) 77, No. 7 (2015) 77, No. 6 (2015) 77, No. 5 (2015) 77, No. 4 (2015) 77, No. 3 (2015) 77, No. 2 (2015) 77, No. 1 (2015) ...and 205 more Volumes all top 5 Authors 40 Maini, Philip Kumar 33 Lewis, Mark Alun 24 Perelson, Alan S. 23 Gaffney, Eamonn A. 22 Byrne, Helen Mary 20 Rosen, Gerald 19 Sherratt, Jonathan A. 17 King, John Robert 17 Simpson, Matthew J. 16 Chaplain, Mark A. J. 16 Edelstein-Keshet, Leah 16 Mcelwain, D. L. Sean 16 Powell, James A. 15 Britton, Nicholas Ferris 15 Kim, Peter S. 15 Levy, Doron 15 van den Driessche, Pauline 15 Wang, Hao 13 Friedman, Avner 13 Hastings, Alan Matthew 13 Segel, Lee Aaron 13 Sneyd, James 12 Baker, Ruth Elizabeth 12 Othmer, Hans G. 12 Roose, Tiina 12 Tang, Sanyi 11 Gumel, Abba B. 11 Painter, Kevin J. 11 van Pelt, Jaap 10 Anderson, Alexander R. A. 10 Feng, Zhilan 10 Krause, Andrew L. 10 Layton, Anita T. 10 Lutscher, Frithjof 10 Martcheva, Maia 10 Massad, Eduardo 10 Michel, Christian J. 10 Myerscough, Mary R. 10 Schuster, Peter 10 Stadler, Peter F. 10 Willson, Stephen Jeffrey 9 Allen, Linda J. S. 9 Brindley, John 9 Eberl, Hermann J. 9 Freedman, Herbert Irving 9 Gyllenberg, Mats 9 Matis, James H. 9 Nisbet, Roger M. 9 Owen, Markus Roger 9 Parnas, Hanna 9 Petrovskii, Sergei V. 9 Plank, Michael J. 9 Ruan, Shigui 9 Stone, Lewi 9 Verwer, Ronald W. H. 9 Wang, Yuanshi 9 Waterman, Michael S. 9 Xiao, Yanni 9 Zhu, Huaiping 9 Zou, Xingfu 8 Adler, Frederick R. 8 Broom, Mark 8 Coutinho, Francisco Antonio Bezerra 8 De Boer, Rob J. 8 Gilligan, Christopher A. 8 Hilker, Frank M. 8 Huber, Katharina T. 8 Kiss, István Z. 8 Komarova, Natalia L. 8 Kuang, Yang 8 Landman, Kerry A. 8 Layton, Harold E. 8 Lenhart, Suzanne M. 8 Li, Michael Yi 8 Lorenzi, Tommaso 8 Lou, Yuan 8 Ma, Junling 8 Michelson, Seth 8 Moulton, Vincent L. 8 Parvinen, Kalle 8 Peace, Angela 8 Reidys, Christian Michael 8 Tindall, Marcus J. 8 Wu, Jianhong 7 Banks, Harvey Thomas 7 Bolker, Benjamin M. 7 Chapman, Stephen Jonathan 7 Conrad, Michael 7 de Vries, Gerda 7 Demiray, Hilmi 7 Diekmann, Odo 7 Earn, David J. D. 7 Enderling, Heiko 7 Erban, Radek 7 Fowler, Andrew C. 7 Franks, Nigel R. 7 Gedeon, Tomáš 7 Gopalsamy, Kondalsamy 7 Keener, James P. 7 Kirschner, Denise E. ...and 5,639 more Authors all top 5 Fields 3,513 Biology and other natural sciences (92-XX) 380 Ordinary differential equations (34-XX) 376 Partial differential equations (35-XX) 279 Probability theory and stochastic processes (60-XX) 221 Numerical analysis (65-XX) 217 Dynamical systems and ergodic theory (37-XX) 167 Systems theory; control (93-XX) 147 Statistics (62-XX) 138 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 126 Fluid mechanics (76-XX) 109 Combinatorics (05-XX) 67 Computer science (68-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 46 Information and communication theory, circuits (94-XX) 43 Difference and functional equations (39-XX) 40 General and overarching topics; collections (00-XX) 39 Operations research, mathematical programming (90-XX) 38 Classical thermodynamics, heat transfer (80-XX) 35 Integral equations (45-XX) 31 Mechanics of deformable solids (74-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Statistical mechanics, structure of matter (82-XX) 12 Convex and discrete geometry (52-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Category theory; homological algebra (18-XX) 9 History and biography (01-XX) 8 Operator theory (47-XX) 8 Optics, electromagnetic theory (78-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Algebraic geometry (14-XX) 4 Functional analysis (46-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 4 Mathematics education (97-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Algebraic topology (55-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,607 Publications have been cited 25,890 times in 16,424 Documents Cited by ▼ Year ▼ Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025Chitnis, Nakul; Hyman, James M.; Cushing, Jim M. 362 2008 Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019Kuznetsov, Vladimir A.; Makalkin, Iliya A.; Taylor, Mark A.; Perelson, Alan S. 283 1994 Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011Anderson, A. R. A.; Chaplain, M. A. J. 240 1998 Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026Shulgin, Boris; Stone, Lewi; Agur, Zvia 225 1998 Global properties of basic virus dynamics models. Zbl 1334.92409Korobeinikov, Andrei 190 2004 A nonlocal continuum model for biological aggregation. Zbl 1334.92468Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A. 188 2006 A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187Araujo, R. P.; McElwain, D. L. S. 186 2004 Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410Korobeinikov, Andrei 177 2006 The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024Freedman, H. I.; Sree Hari Rao, V. 171 1983 Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101Korobeinikov, Andrei 159 2007 Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059Liu, Meng; Wang, Ke; Wu, Qiong 140 2011 HIV-1 infection and low steady state viral loads. Zbl 1334.92227Callaway, Duncan S.; Perelson, Alan S. 136 2002 Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030Tien, Joseph H.; Earn, David J. D. 134 2010 Persistence in stochastic food web models. Zbl 0533.92028Gard, Thomas C. 132 1984 Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017Freedman, H. I.; Wolkowicz, G. S. K. 130 1986 Integrated pest management models and their dynamical behaviour. Zbl 1334.91058Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A. 126 2005 Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079Ablowitz, Mark J.; Zeppetella, Anthony 126 1979 Evolutionary game dynamics in finite populations. Zbl 1334.92372Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A. 124 2004 Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. 123 1999 A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014Panetta, John Carl 122 1996 Interactions between the immune system and cancer: A brief review of non-spatial mathematical models. Zbl 1209.92028Eftimie, Raluca; Bramson, Jonathan L.; Earn, David J. D. 120 2011 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081Garvie, Marcus R. 118 2007 Chemotactic signaling, microglia, and Alzheimer’s disease senile plaques: Is there a connection? Zbl 1334.92077Luca, Magdalena; Chavez-Ross, Alexandra; Edelstein-Keshet, Leah; Mogilner, Alex 115 2003 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173Jost, Christian; Arino, Ovide; Arditi, Roger 114 1999 Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward 110 2006 Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093Bacaër, Nicolas 108 2007 Can a species keep pace with a shifting climate? Zbl 1169.92043Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 107 2009 Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008Head, T. 105 1987 A mathematical model for assessing control strategies against West Nile virus. Zbl 1334.92392Bowman, C.; Gumel, A. B.; van den Driessche, P.; Wu, J.; Zhu, H. 101 2005 How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181Owen, M. R.; Lewis, M. A. 99 2001 Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri 99 1993 Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034Li, Michael Y.; Shu, Hongying 98 2010 Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun 90 2010 Modeling optimal intervention strategies for cholera. Zbl 1201.92045Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne 85 2010 Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019Wollkind, David J.; Collings, John B.; Logan, Jesse A. 84 1988 Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454Potapov, A. B.; Lewis, M. A. 82 2004 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017Gard, Thomas C.; Hallam, Thomas G. 82 1979 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053Rong, Libin; Feng, Zhilan; Perelson, Alan S. 79 2007 Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238Antal, Tibor; Scheuring, István 79 2006 The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519Hosono, Yuzo 79 1998 The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A. 76 2006 Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162Edwards, Andrew M.; Brindley, John 74 1999 Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419Ma, Junling; Earn, David J. D. 74 2006 Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur 73 1995 Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A. 73 1996 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 70 2010 Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim 70 2010 On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040Zhang, Tailei; Teng, Zhidong 69 2007 Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Zbl 1334.92214Zheng, X.; Wise, S. M.; Cristini, V. 68 2005 On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040Ruan, Shigui; Xiao, Dongmei; Beier, John C. 66 2008 Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi 66 2012 Qualitative simulation of genetic regulatory networks using piecewise-linear models. Zbl 1334.92282de Jong, Hidde; Gouzé, Jean-Luc; Hernandez, Céline; Page, Michel; Sari, Tewfik; Geiselmann, Johannes 66 2004 On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006Segel, Lee A. 66 1988 Global stability of population models. Zbl 0451.92011Cull, Paul 66 1981 Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit 65 2001 Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P. 64 2008 Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027Haque, Mainul 64 2009 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P. 63 2006 On the origin of tiger bush. Zbl 0903.92031Lefever, R.; Lejeune, O. 63 1997 The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang 62 2015 A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097Mitchell, Colleen C.; Schaeffer, David G. 60 2003 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021Beretta, E.; Takeuchi, Y. 60 1987 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020Allen, Linda J. S. 59 1983 Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024Collings, John B. 59 1995 Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011Duggan, R. C.; Goodman, A. M. 58 1986 Ocean plankton populations as excitable media. Zbl 0803.92026Truscott, J. E.; Brindley, J. 57 1994 Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment. Zbl 1335.92087Zhao, Yu; Yuan, Sanling; Ma, Junling 57 2015 Chemical reaction systems with toric steady states. Zbl 1251.92016Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten 57 2012 A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026Barrio, R. A.; Varea, C.; Aragón, J. L.; Maini, P. K. 56 1999 A tuberculosis model with seasonality. Zbl 1191.92027Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang 56 2010 Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048Auchmuty, J. F. G.; Nicolis, G. 55 1975 Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098Loladze, Irakli; Kuang, Yang; Elser, James J. 55 2000 Analytical results for individual and group selection of any intensity. Zbl 1144.92035Traulsen, Arne; Shoresh, Noam; Nowak, Martin A. 54 2008 Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035Crampin, E. J.; Hackborn, W. W.; Maini, P. K. 54 2002 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060Elbasha, Elamin H.; Gumel, Abba B. 53 2006 Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041Korobeinikov, Andrei 52 2009 Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371Tang, Sanyi; Chen, Lansun 52 2003 Global stability in time-delayed single-species dynamics. Zbl 0606.92020Freedman, H. I.; Gopalsamy, K. 52 1986 Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017Freedman, H. I.; Mathsen, R. M. 51 1993 Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators. Zbl 1372.92095Wang, Xiaoying; Zou, Xingfu 51 2017 Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025Takeuchi, Yasuhiro; Adachi, Norihiko 51 1983 Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185Tzafriri, A. R. 51 2003 Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031Van Kirk, R. W.; Lewis, M. A. 51 1997 Dynamical behaviour of biological regulatory networks. I: Biological role of feedback loops and practical use of the concept of the loop- characteristic state. Zbl 0821.92009Thomas, René; Thieffrey, Denis; Kaufman, Marcelle 50 1995 Linearized oscillations in population dynamics. Zbl 0634.92013Kulenović, M. R. S.; Ladas, G. 50 1987 Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088Smolen, Paul; Baxter, Douglas A.; Byrne, John H. 49 2000 Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Zbl 1334.92106McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.; Sherratt, J. A. 49 2002 Modelling the dynamics of West Nile virus. Zbl 1334.92397Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal 49 2005 Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016Freedman, H. I. 48 1979 A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009Kirschner, Denise; Webb, G. F. 48 1996 Impacts of foraging facilitation among predators on predator-prey dynamics. Zbl 1184.92048Berec, Luděk 48 2010 Enzyme kinetics at high enzyme concentration. Zbl 1323.92099Schnell, S.; Maini, P. K. 47 2000 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 47 2015 A stochastic analysis of first-order reaction networks. Zbl 1334.92473Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G. 47 2005 Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M. 47 1998 Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040Li, Michael Y.; Shu, Hongying 47 2011 Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011Byrne, H. M.; Chaplain, M. A. J. 46 1995 The migration of cells in multicell tumor spheroids. Zbl 1323.92037Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S. 46 2001 Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D. 45 1991 Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis. Zbl 1168.92010Painter, Kevin J. 45 2009 Vaccination and quarantine effect on COVID-19 transmission dynamics incorporating Chinese-Spring-Festival travel rush: modeling and simulations. Zbl 1481.92083Zou, Yukun; Yang, Wei; Lai, Junjie; Hou, Jiawen; Lin, Wei 3 2022 The heterogeneous severity of COVID-19 in african countries: a modeling approach. Zbl 1485.92145Musa, Salihu Sabiu; Wang, Xueying; Zhao, Shi; Li, Shudong; Hussaini, Nafiu; Wang, Weiming; He, Daihai 3 2022 A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011Park, Jeungeun; Aminzare, Zahra 2 2022 Modeling and evaluation of the joint prevention and control mechanism for curbing COVID-19 in Wuhan. Zbl 1481.92180Zhou, Linhua; Rong, Xinmiao; Fan, Meng; Yang, Liu; Chu, Huidi; Xue, Ling; Hu, Guorong; Liu, Siyu; Zeng, Zhijun; Chen, Ming; Sun, Wei; Liu, Jiamin; Liu, Yawen; Wang, Shishen; Zhu, Huaiping 2 2022 Multistationarity in cyclic sequestration-transmutation networks. Zbl 1491.92068Craciun, Gheorghe; Joshi, Badal; Pantea, Casian; Tan, Ike 2 2022 Extinction of bistable populations is affected by the shape of their initial spatial distribution. Zbl 1484.92076Li, Yifei; Johnston, Stuart T.; Buenzli, Pascal R.; van Heijster, Peter; Simpson, Matthew J. 2 2022 From policy to prediction: forecasting COVID-19 dynamics under imperfect vaccination. Zbl 1497.92160Wang, Xiunan; Wang, Hao; Ramazi, Pouria; Nah, Kyeongah; Lewis, Mark 1 2022 Ancestral lineages in mutation selection equilibria with moving optimum. Zbl 1497.92176Forien, Raphaël; Garnier, Jimmy; Patout, Florian 1 2022 Fixed and distributed gene expression time delays in reaction-diffusion systems. Zbl 1497.92093Sargood, Alec; Gaffney, Eamonn A.; Krause, Andrew L. 1 2022 A PDE model for protocell evolution and the origin of chromosomes via multilevel selection. Zbl 1498.92026Cooney, Daniel B.; Rossine, Fernando W.; Morris, Dylan H.; Levin, Simon A. 1 2022 Intermittent hormone therapy models analysis and Bayesian model comparison for prostate cancer. Zbl 1478.92089Pasetto, S.; Enderling, H.; Gatenby, R. A.; Brady-Nicholls, R. 1 2022 Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion. Zbl 1478.92255Yan, Yawen; Zhang, Jimin; Wang, Hao 1 2022 Control strategies for a multi-strain epidemic model. Zbl 1478.92208Lou, Yuan; Salako, Rachidi B. 1 2022 Merging arcs to produce acyclic phylogenetic networks and normal networks. Zbl 1481.92094Willson, 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 1482.92037Eilertsen, Justin; Schnell, Santiago 1 2022 Vector-borne disease models with active and inactive vectors: a simple way to consider biting behavior. Zbl 1481.92162Simoy, Mario Ignacio; Aparicio, Juan Pablo 1 2022 Obituary: Edmund John Crampin (1973–2021). Zbl 1480.01049Maini, Philip K.; Hunter, Peter J.; Gawthrop, Peter J.; Smith, Nic P. 1 2022 A hypothesis-free bridging of disease dynamics and non-pharmaceutical policies. Zbl 1486.92295Wang, Xiunan; Wang, Hao; Ramazi, Pouria; Nah, Kyeongah; Lewis, Mark 1 2022 Derivation and analysis of a discrete predator-prey model. Zbl 1497.92214Streipert, Sabrina H.; Wolkowicz, Gail S. K.; Bohner, Martin 1 2022 Effect of non-homogeneous mixing and asymptomatic individuals on final epidemic size and basic reproduction number in a meta-population model. Zbl 1486.92217Cui, Jingan; Wu, Yucui; Guo, Songbai 1 2022 Sequential data assimilation of the stochastic SEIR epidemic model for regional COVID-19 dynamics. Zbl 1457.92163Engbert, Ralf; Rabe, Maximilian M.; Kliegl, Reinhold; Reich, Sebastian 11 2021 Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua 10 2021 Invading and receding sharp-fronted travelling waves. Zbl 1460.92232El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J. 7 2021 Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 6 2021 Bespoke Turing systems. Zbl 1460.92028Woolley, Thomas E.; Krause, Andrew L.; Gaffney, Eamonn A. 6 2021 Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality. Zbl 1464.35370Li, Fuxiang; Zhao, Xiao-Qiang 6 2021 Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A. 6 2021 Mosquito control based on pesticides and endosymbiotic bacterium Wolbachia. Zbl 1466.92186Hu, Linchao; Yang, Cui; Hui, Yuanxian; Yu, Jianshe 4 2021 Oscillations and pattern formation in a slow-fast prey-predator system. Zbl 1476.92032Chowdhury, Pranali Roy; Petrovskii, Sergei; Banerjee, Malay 3 2021 A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 3 2021 Antibody dynamics for Plasmodium vivax malaria: a mathematical model. Zbl 1460.92055Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A. 3 2021 Optimal control of mitigation strategies for dengue virus transmission. Zbl 1460.92123Xue, Ling; Ren, Xue; Magpantay, Felicia; Sun, Wei; Zhu, Huaiping 3 2021 A network immuno-epidemiological HIV model. Zbl 1460.92200Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 3 2021 A mathematical model supporting a hyperpredation effect in the apparent competition between invasive Eastern cottontail and native European hare. Zbl 1466.92141Caudera, Elisa; Viale, Simona; Bertolino, Sandro; Cerri, Jacopo; Venturino, Ezio 3 2021 The effect of covert and overt infections on disease dynamics in honey-bee colonies. Zbl 1467.92179Britton, Nicholas F.; Jane White, K. A. 3 2021 Natural killer cells recruitment in oncolytic virotherapy: a mathematical model. Zbl 1467.92098Senekal, Noma Susan; Mahasa, Khaphetsi Joseph; Eladdadi, Amina; de Pillis, Lisette; Ouifki, Rachid 3 2021 A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer. Zbl 1467.92057Fiandaca, Giada; Delitala, Marcello; Lorenzi, Tommaso 3 2021 Atto-foxes and other minutiae. Zbl 1476.92033Fowler, A. C. 2 2021 Modeling the pancreatic cancer microenvironment in search of control targets. Zbl 1475.92052Plaugher, Daniel; Murrugarra, David 2 2021 The impact of contact structure and mixing on control measures and disease-induced herd immunity in epidemic models: a mean-field model perspective. Zbl 1482.92092Di Lauro, Francesco; Berthouze, Luc; Dorey, Matthew D.; Miller, Joel C.; Kiss, István Z. 2 2021 Dispersal and good habitat quality promote neutral genetic diversity in metapopulations. Zbl 1466.37071Garnier, Jimmy; Lafontaine, Pierre 2 2021 Modeling CAR T-cell therapy with patient preconditioning. Zbl 1460.92099Owens, Katherine; Bozic, Ivana 2 2021 Modeling the effect of HIV/AIDS stigma on HIV infection dynamics in Kenya. Zbl 1466.92193Levy, Ben; Correia, Hannah E.; Chirove, Faraimunashe; Ronoh, Marilyn; Abebe, Ash; Kgosimore, Moatlhodi; Chimbola, Obias; Machingauta, M. Hellen; Lenhart, Suzanne; White, K. A. Jane 2 2021 On the threshold of release of confinement in an epidemic SEIR model taking into account the protective effect of mask. Zbl 1466.92168Auger, Pierre; Moussaoui, Ali 2 2021 The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. Zbl 1466.92016Seirin-Lee, Sungrim 2 2021 Controlling the spatial spread of a Xylella epidemic. Zbl 1464.35352Aniţa, Sebastian; Capasso, Vincenzo; Scacchi, Simone 2 2021 Pattern formation in a three-species cyclic competition model. Zbl 1466.92014Manna, Kalyan; Volpert, Vitaly; Banerjee, Malay 2 2021 The role of stochasticity in noise-induced tipping point cascades: a master equation approach. Zbl 1466.92152Mallela, Abhishek; Hastings, Alan 2 2021 Leadership through influence: what mechanisms allow leaders to steer a swarm? Zbl 1480.92238Bernardi, Sara; Eftimie, Raluca; Painter, Kevin J. 2 2021 Independent decompositions of chemical reaction networks. Zbl 1467.92256Hernandez, Bryan S.; De la Cruz, Ralph John L. 2 2021 Bayesian-weighted triplet and quartet methods for species tree inference. Zbl 1470.92221Richards, Andrew; Kubatko, Laura 2 2021 A comparison of the “reduced losses” and “increased production” models for mussel bed dynamics. Zbl 1478.92251Sherratt, Jonathan A.; Liu, Quan-Xing; van de Koppel, Johan 1 2021 Modelling preferential phagocytosis in atherosclerosis: delineating timescales in plaque development. Zbl 1471.92100Lui, Gigi; Myerscough, Mary R. 1 2021 Three-patch models for the evolution of dispersal in advective environments: varying drift and network topology. Zbl 1481.34063Jiang, Hongyan; Lam, King-Yeung; Lou, Yuan 1 2021 A Zika endemic model for the contribution of multiple transmission routes. Zbl 1482.37100Yuan, Xiaoyan; Lou, Yijun; He, Daihai; Wang, Jinliang; Gao, Daozhou 1 2021 Tipping cascades in a multi-patch system with noise and spatial coupling. Zbl 1476.92053Mallela, Abhishek; Hastings, Alan 1 2021 Spreading properties for SIR models on homogeneous trees. Zbl 1475.92148Besse, Christophe; Faye, Grégory 1 2021 Correction to: “Oscillations and pattern formation in a slow-fast prey-predator system”. Zbl 1478.92151Chowdhury, Pranali Roy; Petrovskii, Sergei; Banerjee, Malay 1 2021 Multiscale modelling of de novo anaerobic granulation. Zbl 1478.92124Tenore, A.; Russo, F.; Mattei, M. R.; D’Acunto, B.; Collins, G.; Frunzo, L. 1 2021 Statistics of nascent and mature RNA fluctuations in a stochastic model of transcriptional initiation, elongation, pausing, and termination. Zbl 1460.92075Filatova, Tatiana; Popovic, Nikola; Grima, Ramon 1 2021 A mathematical modeling study: assessing impact of mismatch between influenza vaccine strains and circulating strains in Hajj. Zbl 1460.92117Alharbi, Mohammed H.; Kribs, Christopher M. 1 2021 Thermodynamic inhibition in a biofilm reactor with suspended bacteria. Zbl 1460.92126Gaebler, Harry J.; Hughes, Jack M.; Eberl, Hermann J. 1 2021 On the mathematical modelling of competitive invasive weed dynamics. Zbl 1460.92176Ramaj, Tedi 1 2021 Modeling LSD1-mediated tumor stagnation. Zbl 1457.92080Milzman, Jesse; Sheng, Wanqiang; Levy, Doron 1 2021 Modeling rabies transmission in spatially heterogeneous environments via \(\theta \)-diffusion. Zbl 1460.92224Wang, Xiunan; Wang, Hao; Li, Michael Y. 1 2021 Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130FitzGerald, Cody; Keener, James 1 2021 Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks. Zbl 1460.92063Ciocanel, Maria-Veronica; Juenemann, Riley; Dawes, Adriana T.; McKinley, Scott A. 1 2021 28 models later: model competition and the zombie apocalypse. Zbl 1460.92212McGahan, Ian; Powell, James; Spencer, Elizabeth 1 2021 Modeling the effects of latency reversing drugs during HIV-1 and SIV brain infection with implications for the “shock and kill” strategy. Zbl 1460.92101Roda, Weston C.; Liu, Suli; Power, Christopher; Li, Michael Y. 1 2021 Mathematical model of tumour spheroid experiments with real-time cell cycle imaging. Zbl 1458.92043Jin, Wang; Spoerri, Loredana; Haass, Nikolas K.; Simpson, Matthew J. 1 2021 Harnessing social media in the modelling of pandemics – challenges and opportunities. Zbl 1466.92208Sooknanan, Joanna; Mays, Nicholas 1 2021 Collective oscillations in coupled-cell systems. Zbl 1466.92053Chen, Kuan-Wei; Shih, Chih-Wen 1 2021 The signature of endemic populations in the spread of mountain pine beetle outbreaks. Zbl 1464.92247Koch, Dean; Lewis, Mark A.; Lele, Subhash 1 2021 Stochastic chlamydia dynamics and optimal spread. Zbl 1472.92210Enciso, German; Sütterlin, Christine; Tan, Ming; Wan, Frederic Y. M. 1 2021 Calcium dynamics and water transport in salivary acinar cells. Zbl 1466.92049Sneyd, James; Vera-Sigüenza, Elias; Rugis, John; Pages, Nathan; Yule, David I. 1 2021 Effects of prey’s diffusion on predator-prey systems with two patches. Zbl 1466.92163Xiao, Siheng; Wang, Yuanshi; Wang, Shikun 1 2021 Dynamics of competitive systems with diffusion between source-sink patches. Zbl 1467.34053Wu, Hong; Wang, Yuanshi 1 2021 Patient-specific modelling of blood coagulation. Zbl 1466.92048Ratto, N.; Bouchnita, A.; Chelle, P.; Marion, M.; Panteleev, M.; Nechipurenko, D.; Tardy-Poncet, B.; Volpert, V. 1 2021 Correction to: “Red light and the dormancy-germination decision in Arabidopsis seeds”. Zbl 1466.92120FitzGerald, Cody; Keener, James 1 2021 Generalized stoichiometry and biogeochemistry for astrobiological applications. Zbl 1467.92009Kempes, Christopher P.; Follows, Michael J.; Smith, Hillary; Graham, Heather; House, Christopher H.; Levin, Simon A. 1 2021 Compartmental model suggests importance of innate immune response to COVID-19 infection in rhesus macaques. Zbl 1467.92217Mochan, Ericka; Sego, T. J.; Gaona, Lauren; Rial, Emmaline; Ermentrout, G. Bard 1 2021 Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations. Zbl 1467.92038Villa, Chiara; Chaplain, Mark A. J.; Gerisch, Alf; Lorenzi, Tommaso 1 2021 Modeling intracellular delay in within-host HIV dynamics under conditioning of drugs of abuse. Zbl 1467.92126Vaidya, Naveen K.; Peter, Michael 1 2021 Modeling the relationship between antibody-dependent enhancement and disease severity in secondary dengue infection. Zbl 1467.92187de A. Camargo, Felipe; Adimy, Mostafa; Esteva, Lourdes; Métayer, Clémence; Ferreira, Cláudia P. 1 2021 Effects of vector maturation time on the dynamics of cassava mosaic disease. Zbl 1470.92275Al Basir, F.; Kyrychko, Y. N.; Blyuss, K. B.; Ray, S. 1 2021 Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo. Zbl 1468.92029Gonzalez Herrero, Maria Elena; Kuehn, Christian; Tsaneva-Atanasova, Krasimira 1 2021 An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission. Zbl 1475.35356Kenne, Cyrille; Dorville, René; Mophou, Gisèle; Zongo, Pascal 1 2021 Variance reduction with array-RQMC for tau-leaping simulation of stochastic biological and chemical reaction networks. Zbl 1470.92125Puchhammer, Florian; Ben Abdellah, Amal; L’Ecuyer, Pierre 1 2021 A random walk approach to transport in tissues and complex media: from microscale descriptions to macroscale models. Zbl 1470.92100Stotsky, Jay A.; Gou, Jia; Othmer, Hans G. 1 2021 Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao 15 2020 Commentary on Ferguson, et al., “Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand”. Zbl 1434.92030Eubank, S.; Eckstrand, I.; Lewis, B.; Venkatramanan, S.; Marathe, M.; Barrett, C. L. 11 2020 Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139Perkins, T. Alex; España, Guido 10 2020 The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof 8 2020 Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases. Zbl 1451.92273Al Basir, Fahad; Adhurya, Sagar; Banerjee, Malay; Venturino, Ezio; Ray, Santanu 8 2020 Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086Fadai, Nabil T.; Simpson, Matthew J. 8 2020 Modeling and dynamics analysis of Zika transmission with limited medical resources. Zbl 07233393Zhao, Hongyong; Wang, Liping; Oliva, Sergio Muniz; Zhu, Huaiping 7 2020 Modeling the effects of meteorological factors and unreported cases on seasonal influenza outbreaks in Gansu Province, China. Zbl 1444.92116Jing, Shuang-Lin; Huo, Hai-Feng; Xiang, Hong 7 2020 On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091El Alami Laaroussi, Adil; Rachik, Mostafa 6 2020 A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso 6 2020 Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui 6 2020 ...and 1363 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,751 Authors 129 Chen, Lansun 89 Teng, Zhi-dong 79 Tang, Sanyi 76 Maini, Philip Kumar 73 Chaplain, Mark A. 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