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: 3,398 Publications (since 1973) References Indexed: 2,762 Publications with 96,140 References. all top 5 Latest Issues 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) 76, No. 12 (2014) 76, No. 11 (2014) 76, No. 10 (2014) 76, No. 9 (2014) 76, No. 8 (2014) 76, No. 7 (2014) 76, No. 6 (2014) 76, No. 5 (2014) 76, No. 4 (2014) 76, No. 3 (2014) 76, No. 2 (2014) 76, No. 1 (2014) 75, No. 12 (2013) 75, No. 11 (2013) 75, No. 10 (2013) 75, No. 9 (2013) 75, No. 8 (2013) 75, No. 7 (2013) 75, No. 6 (2013) ...and 186 more Volumes all top 5 Authors 36 Maini, Philip Kumar 28 Lewis, Mark Alun 24 Perelson, Alan S. 21 Gaffney, Eamonn A. 20 Rosen, Gerald 19 Byrne, Helen Mary 17 Sherratt, Jonathan A. 16 King, John Robert 16 Mcelwain, D. L. Sean 15 Levy, Doron 15 Simpson, Matthew J. 14 Chaplain, Mark A. J. 14 Edelstein-Keshet, Leah 14 Kim, Peter S. 13 Segel, Lee Aaron 13 van den Driessche, Pauline 12 Baker, Ruth Elizabeth 12 Friedman, Avner 12 Hastings, Alan 12 Othmer, Hans G. 12 Roose, Tiina 11 Gumel, Abba B. 11 Powell, James A. 11 Sneyd, James 11 van Pelt, Jaap 10 Anderson, Alexander R. A. 10 Feng, Zhilan 10 Layton, Anita T. 10 Lutscher, Frithjof 10 Massad, Eduardo 10 Painter, Kevin J. 10 Schuster, Peter 10 Stadler, Peter F. 9 Brindley, John 9 Freedman, Herbert Irving 9 Gyllenberg, Mats 9 Matis, James H. 9 Michel, Christian J. 9 Myerscough, Mary R. 9 Nisbet, Roger M. 9 Owen, Markus Roger 9 Parnas, Hanna 9 Plank, Michael J. 9 Ruan, Shigui 9 Stone, Lewi 9 Tang, Sanyi 9 Verwer, Ronald W. H. 9 Wang, Yuanshi 8 Adler, Frederick R. 8 Allen, Linda J. S. 8 Britton, Nicholas Ferris 8 Broom, Mark 8 Coutinho, Francisco Antonio Bezerra 8 De Boer, Rob J. 8 Eberl, Hermann J. 8 Gilligan, Christopher A. 8 Hilker, Frank M. 8 Krause, Andrew L. 8 Landman, Kerry A. 8 Layton, Harold E. 8 Michelson, Seth 8 Parvinen, Kalle 8 Peace, Angela 8 Tindall, Marcus J. 8 Waterman, Michael S. 8 Willson, Stephen Jeffrey 8 Wu, Jianhong 8 Xiao, Yanni 8 Zou, Xingfu 7 Chapman, Stephen Jonathan 7 Conrad, Michael 7 de Vries, Gerda 7 Demiray, Hilmi 7 Diekmann, Odo 7 Erban, Radek 7 Franks, Nigel R. 7 Gopalsamy, Kondalsamy 7 Huber, Katharina T. 7 Kirschner, Denise E. 7 Komarova, Natalia L. 7 Kuang, Yang 7 Laubenbacher, Reinhard C. 7 Lenhart, Suzanne M. 7 Li, Michael Yi 7 Martcheva, Maia 7 Morozov, Andrew Yu. 7 Moulton, Vincent L. 7 Peskin, Charles S. 7 Petrovskii, Sergei V. 7 Reidys, Christian Michael 7 Rescigno, Aldo 7 Sherman, Arthur S. 7 Solimano, Fortunata 7 Wang, Hao 7 Weinstein, Alan M. 7 Weisbuch, Gérard 7 Zhu, Huaiping 6 Amaku, Marcos 6 Anderson, David Frederick 6 Arthurs, A. M. ...and 5,263 more Authors all top 5 Fields 3,317 Biology and other natural sciences (92-XX) 343 Ordinary differential equations (34-XX) 334 Partial differential equations (35-XX) 266 Probability theory and stochastic processes (60-XX) 217 Numerical analysis (65-XX) 214 Dynamical systems and ergodic theory (37-XX) 166 Systems theory; control (93-XX) 143 Statistics (62-XX) 129 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 122 Fluid mechanics (76-XX) 101 Combinatorics (05-XX) 66 Computer science (68-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 45 Information and communication theory, circuits (94-XX) 42 Difference and functional equations (39-XX) 40 General and overarching topics; collections (00-XX) 38 Operations research, mathematical programming (90-XX) 37 Classical thermodynamics, heat transfer (80-XX) 31 Integral equations (45-XX) 31 Mechanics of deformable solids (74-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Convex and discrete geometry (52-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Category theory; homological algebra (18-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operator theory (47-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Algebraic geometry (14-XX) 4 History and biography (01-XX) 4 Functional analysis (46-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 4 Mathematics education (97-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,401 Publications have been cited 21,688 times in 13,881 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. 231 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. 223 1994 Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011Anderson, A. R. A.; Chaplain, M. A. J. 210 1998 Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026Shulgin, Boris; Stone, Lewi; Agur, Zvia 202 1998 Global properties of basic virus dynamics models. Zbl 1334.92409Korobeinikov, Andrei 162 2004 A nonlocal continuum model for biological aggregation. Zbl 1334.92468Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A. 162 2006 A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187Araujo, R. P.; McElwain, D. L. S. 161 2004 The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024Freedman, H. I.; Sree Hari Rao, V. 149 1983 Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101Korobeinikov, Andrei 141 2007 Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410Korobeinikov, Andrei 140 2006 A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014Panetta, John Carl 119 1996 Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079Ablowitz, Mark J.; Zeppetella, Anthony 115 1979 Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030Tien, Joseph H.; Earn, David J. D. 113 2010 Integrated pest management models and their dynamical behaviour. Zbl 1334.91058Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A. 109 2005 Persistence in stochastic food web models. Zbl 0533.92028Gard, Thomas C. 109 1984 HIV-1 infection and low steady state viral loads. Zbl 1334.92227Callaway, Duncan S.; Perelson, Alan S. 108 2002 Evolutionary game dynamics in finite populations. Zbl 1334.92372Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A. 105 2004 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081Garvie, Marcus R. 104 2007 Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017Freedman, H. I.; Wolkowicz, G. S. K. 103 1986 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173Jost, Christian; Arino, Ovide; Arditi, Roger 100 1999 Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093Bacaër, Nicolas 100 2007 Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008Head, T. 98 1987 Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. 97 1999 Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri 93 1993 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. 93 2011 Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059Liu, Meng; Wang, Ke; Wu, Qiong 92 2011 Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward 89 2006 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. 87 2005 How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181Owen, M. R.; Lewis, M. A. 86 2001 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 86 2003 Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034Li, Michael Y.; Shu, Hongying 83 2010 Can a species keep pace with a shifting climate? Zbl 1169.92043Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 81 2009 Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019Wollkind, David J.; Collings, John B.; Logan, Jesse A. 75 1988 Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun 71 2010 Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238Antal, Tibor; Scheuring, István 70 2006 The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519Hosono, Yuzo 69 1998 Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur 68 1995 Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A. 67 1996 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053Rong, Libin; Feng, Zhilan; Perelson, Alan S. 67 2007 Modeling optimal intervention strategies for cholera. Zbl 1201.92045Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne 66 2010 Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454Potapov, A. B.; Lewis, M. A. 65 2004 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 64 2001 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017Gard, Thomas C.; Hallam, Thomas G. 64 1979 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. 63 2005 Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419Ma, Junling; Earn, David J. D. 63 2006 On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040Zhang, Tailei; Teng, Zhidong 63 2007 Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162Edwards, Andrew M.; Brindley, John 62 1999 Global stability of population models. Zbl 0451.92011Cull, Paul 62 1981 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 61 2004 Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim 60 2010 On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006Segel, Lee A. 56 1988 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021Beretta, E.; Takeuchi, Y. 56 1987 The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A. 55 2006 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. 55 2008 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 55 2010 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020Allen, Linda J. S. 55 1983 On the origin of tiger bush. Zbl 0903.92031Lefever, R.; Lejeune, O. 52 1997 Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi 52 2012 Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371Tang, Sanyi; Chen, Lansun 52 2003 Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048Auchmuty, J. F. G.; Nicolis, G. 51 1975 A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097Mitchell, Colleen C.; Schaeffer, David G. 51 2003 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P. 51 2006 A tuberculosis model with seasonality. Zbl 1191.92027Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang 50 2010 Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027Haque, Mainul 50 2009 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060Elbasha, Elamin H.; Gumel, Abba B. 50 2006 Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031Van Kirk, R. W.; Lewis, M. A. 49 1997 Ocean plankton populations as excitable media. Zbl 0803.92026Truscott, J. E.; Brindley, J. 49 1994 Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025Takeuchi, Yasuhiro; Adachi, Norihiko 49 1983 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 48 1995 Global stability in time-delayed single-species dynamics. Zbl 0606.92020Freedman, H. I.; Gopalsamy, K. 48 1986 Analytical results for individual and group selection of any intensity. Zbl 1144.92035Traulsen, Arne; Shoresh, Noam; Nowak, Martin A. 48 2008 On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040Ruan, Shigui; Xiao, Dongmei; Beier, John C. 48 2008 Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024Collings, John B. 47 1995 Linearized oscillations in population dynamics. Zbl 0634.92013Kulenović, M. R. S.; Ladas, G. 46 1987 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. 46 2002 Modelling the dynamics of West Nile virus. Zbl 1334.92397Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal 46 2005 Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017Freedman, H. I.; Mathsen, R. M. 45 1993 Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088Smolen, Paul; Baxter, Douglas A.; Byrne, John H. 45 2000 Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098Loladze, Irakli; Kuang, Yang; Elser, James J. 45 2000 A stochastic analysis of first-order reaction networks. Zbl 1334.92473Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G. 45 2005 Enzyme kinetics at high enzyme concentration. Zbl 1323.92099Schnell, S.; Maini, P. K. 44 2000 Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185Tzafriri, A. R. 44 2003 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. 43 1999 The migration of cells in multicell tumor spheroids. Zbl 1323.92037Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S. 43 2001 Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011Duggan, R. C.; Goodman, A. M. 43 1986 Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016Freedman, H. I. 43 1979 Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041Korobeinikov, Andrei 43 2009 Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035Crampin, E. J.; Hackborn, W. W.; Maini, P. K. 43 2002 A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009Kirschner, Denise; Webb, G. F. 42 1996 Analysis of intra-uterine fluid motion induced by uterine contractions. Zbl 1323.92063Eytan, Osnat; Elad, David 42 1999 Consensus n-trees. Zbl 0455.92019Margush, T.; McMorris, F. R. 42 1981 Chemical reaction systems with toric steady states. Zbl 1251.92016Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten 42 2012 Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011Byrne, H. M.; Chaplain, M. A. J. 41 1995 Logical identification of all steady states: The concept of feedback loop characteristic states. Zbl 0784.92002Snoussi, El Houssine; Thomas, René 41 1993 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. 41 1991 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123Dockery, Jack D.; Keener, James P. 40 2001 Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue. Zbl 1296.92226Coutinho, F. A. B.; Burattini, M. N.; Lopez, L. F.; Massad, E. 40 2006 Complex dynamics in a model microbial system. Zbl 0761.92041Kot, Mark; Sayler, Gary S.; Schultz, Terry W. 39 1992 Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M. 39 1998 Sperm motility in the presence of boundaries. Zbl 0826.92017Fauci, Lisa J.; McDonald, Amy 39 1995 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 1 2021 Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 1 2021 Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua 1 2021 The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. Zbl 1466.92016Seirin-Lee, Sungrim 1 2021 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. 7 2020 Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao 6 2020 On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091El Alami Laaroussi, Adil; Rachik, Mostafa 4 2020 Mix and match: phenotypic coexistence as a key facilitator of cancer invasion. Zbl 1432.92031Strobl, Maximilian A. R.; Krause, Andrew L.; Damaghi, Mehdi; Gillies, Robert; Anderson, Alexander R. A.; Maini, Philip K. 4 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 4 2020 Speed switch in glioblastoma growth rate due to enhanced hypoxia-induced migration. Zbl 1435.92014Curtin, Lee; Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Swanson, Kristin R.; Owen, Markus R. 3 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 3 2020 The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof 2 2020 The timing and nature of behavioural responses affect the course of an epidemic. Zbl 1432.92101Tyson, Rebecca C.; Hamilton, Stephanie D.; Lo, Aboubakr S.; Baumgaertner, Bert O.; Krone, Stephen M. 2 2020 A current perspective on wound healing and tumour-induced angiogenesis. Zbl 1432.92008Flegg, Jennifer A.; Menon, Shakti N.; Byrne, Helen M.; McElwain, D. L. Sean 2 2020 The space of tree-based phylogenetic networks. Zbl 1444.92070Fischer, Mareike; Francis, Andrew 2 2020 Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086Fadai, Nabil T.; Simpson, Matthew J. 2 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 2 2020 Control of intracellular molecular networks using algebraic methods. Zbl 1432.92040Sordo Vieira, Luis; Laubenbacher, Reinhard C.; Murrugarra, David 1 2020 Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041Allen, Henry R.; Ptashnyk, Mariya 1 2020 Statistically consistent and computationally efficient inference of ancestral DNA sequences in the TKF91 model under dense taxon sampling. Zbl 1435.92044Fan, Wai-Tong; Roch, Sebastien 1 2020 Additional analytical support for a new method to compute the likelihood of diversification models. Zbl 1432.92065Laudanno, Giovanni; Haegeman, Bart; Etienne, Rampal S. 1 2020 Maternal passive immunity and dengue hemorrhagic fever in infants. Zbl 1433.92047Adimy, Mostafa; Mancera, Paulo F. A.; Rodrigues, Diego S.; Santos, Fernando L. P.; Ferreira, Cláudia P. 1 2020 Cell size, mechanical tension, and GTPase signaling in the single cell. Zbl 1432.92012Buttenschön, Andreas; Liu, Yue; Edelstein-Keshet, Leah 1 2020 Resonance of periodic combination antiviral therapy and intracellular delays in virus model. Zbl 1432.92052Browne, Cameron J.; Pan, Xuejun; Shu, Hongying; Wang, Xiang-Sheng 1 2020 An activation-clearance model for Plasmodium vivax malaria. Zbl 1432.92094Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A. 1 2020 A multicellular model of primary saliva secretion in the parotid gland. Zbl 1433.92010Vera-Sigüenza, Elías; Pages, Nathan; Rugis, John; Yule, David I.; Sneyd, James 1 2020 Coloured noise from stochastic inflows in reaction-diffusion systems. Zbl 1437.92168Adamer, Michael F.; Harrington, Heather A.; Gaffney, Eamonn A.; Woolley, Thomas E. 1 2020 Stationary pattern of a reaction-diffusion mussel-algae model. Zbl 1437.92102Shen, Zuolin; Wei, Junjie 1 2020 Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui 1 2020 Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion. Zbl 1444.92028Shuttleworth, Robyn; Trucu, Dumitru 1 2020 Parameter estimation for evaporation-driven tear film thinning. Zbl 1444.92020Luke, Rayanne A.; Braun, Richard J.; Driscoll, Tobin A.; Begley, Carolyn G.; Awisi-Gyau, Deborah 1 2020 Thermodynamic inhibition in chemostat models. With an application to bioreduction of uranium. Zbl 1444.92064Gaebler, Harry J.; Eberl, Hermann J. 1 2020 A framework for network-based epidemiological modeling of tuberculosis dynamics using synthetic datasets. Zbl 1444.92122Renardy, Marissa; Kirschner, Denise E. 1 2020 Modeling the 2014–2015 Ebola virus disease outbreaks in Sierra Leone, Guinea, and Liberia with effect of high- and low-risk susceptible individuals. Zbl 1448.92316Lin, Qianying; Musa, Salihu S.; Zhao, Shi; He, Daihai 1 2020 Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C. 1 2020 The de Rham-Hodge analysis and modeling of biomolecules. Zbl 1448.92158Zhao, Rundong; Wang, Menglun; Chen, Jiahui; Tong, Yiying; Wei, Guo-Wei 1 2020 Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139Perkins, T. Alex; España, Guido 1 2020 Multiple attractors and long transients in spatially structured populations with an Allee effect. Zbl 1453.92267Vortkamp, Irina; Schreiber, Sebastian J.; Hastings, Alan; Hilker, Frank M. 1 2020 Turing patterning in stratified domains. Zbl 1453.92043Krause, Andrew L.; Klika, Václav; Halatek, Jacob; Grant, Paul K.; Woolley, Thomas E.; Dalchau, Neil; Gaffney, Eamonn A. 1 2020 Pushing the boundaries: models for the spatial spread of ecosystem engineers. Zbl 1452.35222Lutscher, Frithjof; Fink, Justus; Zhu, Yingjie 1 2020 Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035Arroyo-Esquivel, Jorge; Hastings, Alan 1 2020 Renewal reward perspective on linear switching diffusion systems in models of intracellular transport. Zbl 1461.92030Ciocanel, Maria-Veronica; Fricks, John; Kramer, Peter R.; McKinley, Scott A. 1 2020 Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds. Zbl 1415.92034Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A. 10 2019 Multistationarity in structured reaction networks. Zbl 1415.92083Dickenstein, Alicia; Millán, Mercedes Pérez; Shiu, Anne; Tang, Xiaoxian 9 2019 The multistationarity structure of networks with intermediates and a binomial core network. Zbl 1417.92058Sadeghimanesh, AmirHosein; Feliu, Elisenda 9 2019 Using experimental data and information criteria to guide model selection for reaction-diffusion problems in mathematical biology. Zbl 1415.92041Warne, David J.; Baker, Ruth E.; Simpson, Matthew J. 8 2019 Emergence of oscillations in a mixed-mechanism phosphorylation system. Zbl 1415.92092Conradi, Carsten; Mincheva, Maya; Shiu, Anne 8 2019 A mathematical framework for modelling the metastatic spread of cancer. Zbl 1415.92099Franssen, Linnea C.; Lorenzi, Tommaso; Burgess, Andrew E. F.; Chaplain, Mark A. J. 7 2019 Bayesian parameter identification for Turing systems on stationary and evolving domains. Zbl 1409.92006Campillo-Funollet, Eduard; Venkataraman, Chandrasekhar; Madzvamuse, Anotida 5 2019 The final size of a serious epidemic. Zbl 1415.92172Brauer, Fred 5 2019 Spatial memory and taxis-driven pattern formation in model ecosystems. Zbl 1417.92217Potts, Jonathan R.; Lewis, Mark A. 5 2019 Effects of patch-matrix composition and individual movement response on population persistence at the patch level. Zbl 07135700Cronin, James T.; Goddard, Jerome II; Shivaji, Ratnasingham 5 2019 Tropical principal component analysis and its application to phylogenetics. Zbl 1410.92082Yoshida, Ruriko; Zhang, Leon; Zhang, Xu 4 2019 A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin. Zbl 1415.92032Browning, Alexander P.; Haridas, Parvathi; Simpson, Matthew J. 4 2019 A hybrid model for the population dynamics of periodical cicadas. Zbl 1415.92154Machta, Jonathan; Blackwood, Julie C.; Noble, Andrew; Liebhold, Andrew M.; Hastings, Alan 4 2019 A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems. Zbl 1415.92086Johnston, Matthew D.; Müller, Stefan; Pantea, Casian 4 2019 Multiscale modelling of fibres dynamics and cell adhesion within moving boundary cancer invasion. Zbl 1417.92029Shuttleworth, Robyn; Trucu, Dumitru 4 2019 The threshold infection level for Wolbachia invasion in a two-sex mosquito population model. Zbl 1417.92182Li, Dan; Wan, Hui 4 2019 Multistationarity in the space of total concentrations for systems that admit a monomial parametrization. Zbl 1427.92039Conradi, Carsten; Iosif, Alexandru; Kahle, Thomas 4 2019 Generalized social dilemmas: the evolution of cooperation in populations with variable group size. Zbl 1430.91019Broom, Mark; Pattni, Karan; Rychtář, Jan 4 2019 On the number of non-equivalent ancestral configurations for matching gene trees and species trees. Zbl 1410.92072Disanto, Filippo; Rosenberg, Noah A. 3 2019 A mathematical model of fluid transport in an accurate reconstruction of parotid acinar cells. Zbl 1415.92070Vera-Sigüenza, Elías; Pages, Nathan; Rugis, John; Yule, David I.; Sneyd, James 3 2019 Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection. Zbl 1415.92184Kitagawa, Kosaku; Kuniya, Toshikazu; Nakaoka, Shinji; Asai, Yusuke; Watashi, Koichi; Iwami, Shingo 3 2019 Asymptotic state of a two-patch system with infinite diffusion. Zbl 1415.92215Wang, Yuanshi 3 2019 Global sensitivity analysis of high-dimensional neuroscience models: an example of neurovascular coupling. Zbl 1415.92072Hart, J. L.; Gremaud, P. A.; David, T. 3 2019 Metastability as a coexistence mechanism in a model for dryland vegetation patterns. Zbl 1417.92209Eigentler, Lukas; Sherratt, Jonathan A. 3 2019 Modeling HIV dynamics under combination therapy with inducers and antibodies. Zbl 1417.92097Yan, Chao; Wang, Wendi 3 2019 Invasion dynamics in an intraguild predation system with predator-induced defense. Zbl 1427.92077Köhnke, M. C. 3 2019 Reconstructing tree-child networks from reticulate-edge-deleted subnetworks. Zbl 1428.92080Murakami, Yukihiro; van Iersel, Leo; Janssen, Remie; Jones, Mark; Moulton, Vincent 3 2019 Disease extinction versus persistence in discrete-time epidemic models. Zbl 1437.92141van den Driessche, P.; Yakubu, Abdul-Aziz 3 2019 Dynamics of fluorescent imaging for rapid tear thinning. Zbl 1409.92143Zhong, L.; Braun, R. J.; Begley, C. G.; King-Smith, P. E. 2 2019 An optimal control model to reduce and eradicate anthrax disease in herbivorous animals. Zbl 1409.92146Croicu, Ana-Maria 2 2019 Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry. Zbl 1410.92077Kosta, Dimitra; Kubjas, Kaie 2 2019 Identifiability and reconstructibility of species phylogenies under a modified coalescent. Zbl 1410.92078Long, Colby; Kubatko, Laura 2 2019 Maximum likelihood estimates of rearrangement distance: implementing a representation-theoretic approach. Zbl 1410.92068Terauds, Venta; Sumner, Jeremy 2 2019 Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079Bressloff, P. C.; Levien, E. 2 2019 Universal statistics of incubation periods and other detection times via diffusion models. Zbl 1415.92166Bakhtin, Yuri 2 2019 Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics. Zbl 1415.92093Kang, Hye-Won; KhudaBukhsh, Wasiur R.; Koeppl, Heinz; Rempała, Grzegorz A. 2 2019 Dynamics of a producer-grazer model incorporating the effects of phosphorus loading on grazer’s growth. Zbl 1415.92202Asik, Lale; Peace, Angela 2 2019 A model of \(\mathrm{Ca}^{2+}\) dynamics in an accurate reconstruction of parotid acinar cells. Zbl 1415.92075Pages, Nathan; Vera-Sigüenza, Elías; Rugis, John; Kirk, Vivien; Yule, David I.; Sneyd, James 2 2019 Age structure can account for delayed logistic proliferation of scratch assays. Zbl 1417.92027Ponce Bobadilla, Ana Victoria; Carraro, Thomas; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás 2 2019 Dynamics of bone cell interactions and differential responses to PTH and antibody-based therapies. Zbl 1426.92025Lemaire, Vincent; Cox, David R. 2 2019 How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof 2 2019 Forecasting epidemics through nonparametric estimation of time-dependent transmission rates using the SEIR model. Zbl 1430.92109Smirnova, Alexandra; deCamp, Linda; Chowell, Gerardo 2 2019 The impact of recruitment on the dynamics of an immune-suppressed within-human-host model of the Plasmodium falciparum parasite. Zbl 1430.92114Woldegerima, Woldegebriel A.; Teboh-Ewungkem, Miranda I.; Ngwa, Gideon A. 2 2019 Analysis of dynamics of recurrent epidemics: periodic or non-periodic. Zbl 1430.92093Cao, Hui; Yan, Dongxue; Zhang, Suxia; Wang, Xiaoqin 2 2019 An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193Magal, P.; Webb, G. F.; Wu, Yixiang 2 2019 Compensatory foraging in stoichiometric producer-grazer models. Zbl 1430.92130Peace, Angela; Wang, Hao 2 2019 Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology. Zbl 1409.92079Bowler, Louise A.; Gavaghan, David J.; Mirams, Gary R.; Whiteley, Jonathan P. 1 2019 A nonlinear mathematical model of drug delivery from polymeric matrix. Zbl 1409.92099Chakravarty, Koyel; Dalal, D. C. 1 2019 Intermittent preventive treatment (IPT): its role in averting disease-induced mortality in children and in promoting the spread of antimalarial drug resistance. Zbl 1409.92149Manore, Carrie A.; Teboh-Ewungkem, Miranda I.; Prosper, Olivia; Peace, Angela; Gurski, Katharine; Feng, Zhilan 1 2019 Preface. Algebraic methods in phylogenetics. Zbl 1410.00022Casanellas, Marta; Rhodes, John A. 1 2019 Dimensions of group-based phylogenetic mixtures. Zbl 1410.92071Baños, Hector; Bushek, Nathaniel; Davidson, Ruth; Gross, Elizabeth; Harris, Pamela E.; Krone, Robert; Long, Colby; Stewart, Allen; Walker, Robert 1 2019 Identifying species network features from gene tree quartets under the coalescent model. Zbl 1410.92070Baños, Hector 1 2019 On the Shapley value of unrooted phylogenetic trees. Zbl 1410.92081Wicke, Kristina; Fischer, Mareike 1 2019 A growth-fragmentation approach for modeling microtubule dynamic instability. Zbl 1415.92073Honoré, Stéphane; Hubert, Florence; Tournus, Magali; White, Diana 1 2019 Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation. Zbl 1415.92129Balelli, Irene; Milišić, Vuk; Wainrib, Gilles 1 2019 The species problem from the modeler’s point of view. Zbl 1415.92135Manceau, Marc; Lambert, Amaury 1 2019 Correction to: “Tree-based unrooted phylogenetic networks”. Zbl 1417.92112Francis, A.; Huber, K. T.; Moulton, V. 1 2019 Multiple equilibria in a non-smooth epidemic model with medical-resource constraints. Zbl 1415.92198Wang, Aili; Xiao, Yanni; Smith?, Robert 1 2019 ...and 1310 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,846 Authors 129 Chen, Lansun 73 Teng, Zhi-dong 72 Tang, Sanyi 70 Chaplain, Mark A. 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