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: 3,483 Publications (since 1973) References Indexed: 2,842 Publications with 99,645 References. all top 5 Latest Issues 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) 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) ...and 195 more Volumes all top 5 Authors 38 Maini, Philip Kumar 31 Lewis, Mark Alun 24 Perelson, Alan S. 21 Gaffney, Eamonn A. 20 Rosen, Gerald 19 Byrne, Helen Mary 19 Sherratt, Jonathan A. 17 King, John Robert 17 Simpson, Matthew J. 16 Chaplain, Mark A. J. 16 Mcelwain, D. L. Sean 15 Britton, Nicholas Ferris 15 Kim, Peter S. 15 Levy, Doron 14 Edelstein-Keshet, Leah 14 van den Driessche, Pauline 13 Segel, Lee Aaron 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 Myerscough, Mary R. 10 Painter, Kevin J. 10 Schuster, Peter 10 Stadler, Peter F. 10 Wang, Hao 9 Brindley, John 9 Eberl, Hermann J. 9 Freedman, Herbert Irving 9 Gyllenberg, Mats 9 Matis, James H. 9 Michel, Christian J. 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 Tang, Sanyi 9 Verwer, Ronald W. H. 9 Wang, Yuanshi 9 Willson, Stephen Jeffrey 9 Zhu, Huaiping 8 Adler, Frederick R. 8 Allen, Linda J. S. 8 Broom, Mark 8 Coutinho, Francisco Antonio Bezerra 8 De Boer, Rob J. 8 Gilligan, Christopher A. 8 Hilker, Frank M. 8 Krause, Andrew L. 8 Landman, Kerry A. 8 Layton, Harold E. 8 Lenhart, Suzanne M. 8 Li, Michael Yi 8 Lou, Yuan 8 Ma, Junling 8 Martcheva, Maia 8 Michelson, Seth 8 Parvinen, Kalle 8 Peace, Angela 8 Tindall, Marcus J. 8 Waterman, Michael S. 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 Fowler, Andrew C. 7 Franks, Nigel R. 7 Gopalsamy, Kondalsamy 7 Huber, Katharina T. 7 Keener, James P. 7 Kirschner, Denise E. 7 Kiss, István Z. 7 Komarova, Natalia L. 7 Kuang, Yang 7 Morozov, Andrew Yu. 7 Moulton, Vincent L. 7 Peskin, Charles S. 7 Reidys, Christian Michael 7 Rescigno, Aldo 7 Sherman, Arthur S. 7 Solimano, Fortunata 7 Varon, Ramón ...and 5,425 more Authors all top 5 Fields 3,400 Biology and other natural sciences (92-XX) 361 Ordinary differential equations (34-XX) 352 Partial differential equations (35-XX) 270 Probability theory and stochastic processes (60-XX) 218 Numerical analysis (65-XX) 215 Dynamical systems and ergodic theory (37-XX) 164 Systems theory; control (93-XX) 145 Statistics (62-XX) 133 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 122 Fluid mechanics (76-XX) 104 Combinatorics (05-XX) 67 Computer science (68-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 46 Information and communication theory, circuits (94-XX) 42 Difference and functional equations (39-XX) 39 General and overarching topics; collections (00-XX) 38 Classical thermodynamics, heat transfer (80-XX) 38 Operations research, mathematical programming (90-XX) 34 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 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 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 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-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 2,526 Publications have been cited 23,670 times in 15,159 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. 296 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. 252 1994 Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011Anderson, A. R. A.; Chaplain, M. A. J. 225 1998 Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026Shulgin, Boris; Stone, Lewi; Agur, Zvia 211 1998 Global properties of basic virus dynamics models. Zbl 1334.92409Korobeinikov, Andrei 183 2004 A nonlocal continuum model for biological aggregation. Zbl 1334.92468Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A. 178 2006 A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187Araujo, R. P.; McElwain, D. L. S. 172 2004 Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission. Zbl 1334.92410Korobeinikov, Andrei 160 2006 The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024Freedman, H. I.; Sree Hari Rao, V. 159 1983 Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101Korobeinikov, Andrei 149 2007 Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030Tien, Joseph H.; Earn, David J. D. 124 2010 Persistence in stochastic food web models. Zbl 0533.92028Gard, Thomas C. 122 1984 A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014Panetta, John Carl 121 1996 HIV-1 infection and low steady state viral loads. Zbl 1334.92227Callaway, Duncan S.; Perelson, Alan S. 121 2002 Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079Ablowitz, Mark J.; Zeppetella, Anthony 119 1979 Integrated pest management models and their dynamical behaviour. Zbl 1334.91058Tang, Sanyi; Xiao, Yanni; Chen, Lansun; Cheke, Robert A. 118 2005 Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017Freedman, H. I.; Wolkowicz, G. S. K. 115 1986 Evolutionary game dynamics in finite populations. Zbl 1334.92372Taylor, Christine; Fudenberg, Drew; Sasaki, Akira; Nowak, Martin A. 113 2004 Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059Liu, Meng; Wang, Ke; Wu, Qiong 112 2011 Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. 111 1999 About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173Jost, Christian; Arino, Ovide; Arditi, Roger 109 1999 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081Garvie, Marcus R. 109 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 105 2003 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. 104 2011 Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population. Zbl 1298.92093Bacaër, Nicolas 103 2007 Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008Head, T. 102 1987 Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward 100 2006 Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026Rinaldi, Sergio; Muratori, Simona; Kuznetsov, Yuri 96 1993 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. 94 2005 How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181Owen, M. R.; Lewis, M. A. 93 2001 Can a species keep pace with a shifting climate? Zbl 1169.92043Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 92 2009 Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034Li, Michael Y.; Shu, Hongying 91 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. 78 1988 Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun 77 2010 Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238Antal, Tibor; Scheuring, István 76 2006 Modeling optimal intervention strategies for cholera. Zbl 1201.92045Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne 73 2010 Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017Gard, Thomas C.; Hallam, Thomas G. 72 1979 Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur 72 1995 Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454Potapov, A. B.; Lewis, M. A. 72 2004 Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053Rong, Libin; Feng, Zhilan; Perelson, Alan S. 71 2007 Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A. 70 1996 The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519Hosono, Yuzo 70 1998 Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419Ma, Junling; Earn, David J. D. 70 2006 Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162Edwards, Andrew M.; Brindley, John 69 1999 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. 66 2005 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 Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024Blayneh, Kbenesh W.; Gumel, Abba B.; Lenhart, Suzanne; Clayton, Tim 64 2010 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 63 2004 On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040Zhang, Tailei; Teng, Zhidong 63 2007 Global stability of population models. Zbl 0451.92011Cull, Paul 62 1981 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 61 2010 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. 60 2008 On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006Segel, Lee A. 60 1988 Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027Haque, Mainul 59 2009 On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040Ruan, Shigui; Xiao, Dongmei; Beier, John C. 59 2008 A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097Mitchell, Colleen C.; Schaeffer, David G. 59 2003 The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A. 59 2006 Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi 58 2012 On the origin of tiger bush. Zbl 0903.92031Lefever, R.; Lejeune, O. 57 1997 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020Allen, Linda J. S. 57 1983 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021Beretta, E.; Takeuchi, Y. 57 1987 Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P. 55 2006 A tuberculosis model with seasonality. Zbl 1191.92027Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang 53 2010 Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048Auchmuty, J. F. G.; Nicolis, G. 52 1975 Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011Duggan, R. C.; Goodman, A. M. 52 1986 Ocean plankton populations as excitable media. Zbl 0803.92026Truscott, J. E.; Brindley, J. 52 1994 Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371Tang, Sanyi; Chen, Lansun 52 2003 Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098Loladze, Irakli; Kuang, Yang; Elser, James J. 51 2000 Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060Elbasha, Elamin H.; Gumel, Abba B. 51 2006 Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031Van Kirk, R. W.; Lewis, M. A. 50 1997 Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025Takeuchi, Yasuhiro; Adachi, Norihiko 50 1983 Analytical results for individual and group selection of any intensity. Zbl 1144.92035Traulsen, Arne; Shoresh, Noam; Nowak, Martin A. 49 2008 Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024Collings, John B. 49 1995 Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017Freedman, H. I.; Mathsen, R. M. 48 1993 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 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. 48 2002 Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035Crampin, E. J.; Hackborn, W. W.; Maini, P. K. 48 2002 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. 47 1999 Chemical reaction systems with toric steady states. Zbl 1251.92016Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten 47 2012 Linearized oscillations in population dynamics. Zbl 0634.92013Kulenović, M. R. S.; Ladas, G. 47 1987 A stochastic analysis of first-order reaction networks. Zbl 1334.92473Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G. 47 2005 Modelling the dynamics of West Nile virus. Zbl 1334.92397Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal 47 2005 Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016Freedman, H. I. 46 1979 Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages. Zbl 1169.92041Korobeinikov, Andrei 46 2009 Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185Tzafriri, A. R. 46 2003 Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088Smolen, Paul; Baxter, Douglas A.; Byrne, John H. 45 2000 Enzyme kinetics at high enzyme concentration. Zbl 1323.92099Schnell, S.; Maini, P. K. 45 2000 The migration of cells in multicell tumor spheroids. Zbl 1323.92037Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S. 45 2001 A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009Kirschner, Denise; Webb, G. F. 45 1996 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. 45 2006 Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011Byrne, H. M.; Chaplain, M. A. J. 44 1995 Fractional reproduction-dispersal equations and heavy tail dispersal kernels. Zbl 1296.92195Baeumer, Boris; Kovács, Mihály; Meerschaert, Mark M. 44 2007 Analysis of intra-uterine fluid motion induced by uterine contractions. Zbl 1323.92063Eytan, Osnat; Elad, David 43 1999 Consensus n-trees. Zbl 0455.92019Margush, T.; McMorris, F. R. 43 1981 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123Dockery, Jack D.; Keener, James P. 42 2001 Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040Li, Michael Y.; Shu, Hongying 42 2011 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. 42 1991 Logical identification of all steady states: The concept of feedback loop characteristic states. Zbl 0784.92002Snoussi, El Houssine; Thomas, René 42 1993 The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate. Zbl 1339.92058Li, Dan; Cui, Jing’an; Liu, Meng; Liu, Shengqiang 42 2015 A mathematical description of bacterial chemotaxis in response to two stimuli. Zbl 1476.92011Park, Jeungeun; Aminzare, Zahra 2 2022 Control strategies for a multi-strain epidemic model. Zbl 1478.92208Lou, Yuan; Salako, Rachidi B. 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 6 2021 Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 4 2021 Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua 4 2021 Invading and receding sharp-fronted travelling waves. Zbl 1460.92232El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J. 4 2021 Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality. Zbl 1464.35370Li, Fuxiang; Zhao, Xiao-Qiang 3 2021 Mosquito control based on pesticides and endosymbiotic bacterium Wolbachia. Zbl 1466.92186Hu, Linchao; Yang, Cui; Hui, Yuanxian; Yu, Jianshe 3 2021 Bayesian-weighted triplet and quartet methods for species tree inference. Zbl 1470.92221Richards, Andrew; Kubatko, Laura 2 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 2 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. 2 2021 A network immuno-epidemiological HIV model. Zbl 1460.92200Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 2 2021 Bespoke Turing systems. Zbl 1460.92028Woolley, Thomas E.; Krause, Andrew L.; Gaffney, Eamonn A. 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 Leadership through influence: what mechanisms allow leaders to steer a swarm? Zbl 1480.92238Bernardi, Sara; Eftimie, Raluca; Painter, Kevin J. 2 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 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 Atto-foxes and other minutiae. Zbl 1476.92033Fowler, A. C. 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 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 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 Optimal control of mitigation strategies for dengue virus transmission. Zbl 1460.92123Xue, Ling; Ren, Xue; Magpantay, Felicia; Sun, Wei; Zhu, Huaiping 1 2021 Thermodynamic inhibition in a biofilm reactor with suspended bacteria. Zbl 1460.92126Gaebler, Harry J.; Hughes, Jack M.; Eberl, Hermann J. 1 2021 Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130FitzGerald, Cody; Keener, James 1 2021 Dispersal and good habitat quality promote neutral genetic diversity in metapopulations. Zbl 1466.37071Garnier, Jimmy; Lafontaine, Pierre 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 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 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 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 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 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 Dynamics of competitive systems with diffusion between source-sink patches. Zbl 1467.34053Wu, Hong; Wang, Yuanshi 1 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 1 2021 The role of stochasticity in noise-induced tipping point cascades: a master equation approach. Zbl 1466.92152Mallela, Abhishek; Hastings, Alan 1 2021 The effect of covert and overt infections on disease dynamics in honey-bee colonies. Zbl 1467.92179Britton, Nicholas F.; Jane White, K. A. 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 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 Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A. 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 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 Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao 9 2020 Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139Perkins, T. Alex; España, Guido 5 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 5 2020 Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086Fadai, Nabil T.; Simpson, Matthew J. 5 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 5 2020 On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091El Alami Laaroussi, Adil; Rachik, Mostafa 5 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. 5 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. 4 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 3 2020 Modeling and dynamics analysis of Zika transmission with limited medical resources. Zbl 07233393Zhao, Hongyong; Wang, Liping; Oliva, Sergio Muniz; Zhu, Huaiping 3 2020 Game-theoretical model of retroactive hepatitis B vaccination in China. Zbl 1453.92186Chouhan, Ali; Maiwand, Sohail; Ngo, Matthew; Putalapattu, Vooha; Rychtář, Jan; Taylor, Dewey 3 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. 3 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. 3 2020 Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability. Zbl 1457.92173Nipa, Kaniz Fatema; Allen, Linda J. S. 3 2020 The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof 3 2020 Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui 3 2020 A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns. Zbl 1448.92253Taylor, Nick P.; Kim, Hyunyeon; Krause, Andrew L.; Van Gorder, Robert A. 2 2020 A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations. Zbl 1448.92212Krause, Andrew L.; Van Gorder, Robert A. 2 2020 Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion. Zbl 1444.92028Shuttleworth, Robyn; Trucu, Dumitru 2 2020 The space of tree-based phylogenetic networks. Zbl 1444.92070Fischer, Mareike; Francis, Andrew 2 2020 Thermodynamic inhibition in chemostat models. With an application to bioreduction of uranium. Zbl 1444.92064Gaebler, Harry J.; Eberl, Hermann J. 2 2020 A framework for network-based epidemiological modeling of tuberculosis dynamics using synthetic datasets. Zbl 1444.92122Renardy, Marissa; Kirschner, Denise E. 2 2020 Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C. 2 2020 The de Rham-Hodge analysis and modeling of biomolecules. Zbl 1448.92158Zhao, Rundong; Wang, Menglun; Chen, Jiahui; Tong, Yiying; Wei, Guo-Wei 2 2020 On nonlinear pest/vector control via the sterile insect technique: impact of residual fertility. Zbl 1448.92391Aronna, M. Soledad; Dumont, Yves 2 2020 Optimal management of public perceptions during a flu outbreak: a game-theoretic perspective. Zbl 1453.92188Deka, Aniruddha; Pantha, Buddhi; Bhattacharyya, Samit 2 2020 Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035Arroyo-Esquivel, Jorge; Hastings, Alan 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 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 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 Should I stay or should I go: partially sedentary populations can outperform fully dispersing populations in response to climate-induced range shifts. Zbl 1432.92104Cobbold, Christina A.; Stana, Remus 2 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 2 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. 2 2020 A note on observation processes in epidemic models. Zbl 1435.92081Park, Sang Woo; Bolker, Benjamin M. 2 2020 Toward predicting the spatio-temporal dynamics of alopecia areata lesions using partial differential equation analysis. Zbl 1433.92011Dobreva, Atanaska; Paus, Ralf; Cogan, N. G. 2 2020 Dynamic analysis of the time-delayed genetic regulatory network between two auto-regulated and mutually inhibitory genes. Zbl 1437.92053Wang, Guiyuan; Yang, Zhuoqin; Turcotte, Marc 2 2020 Are two-patch models sufficient? The evolution of dispersal and topology of river network modules. Zbl 1467.34049Jiang, Hongyan; Lam, King-Yeung; Lou, Yuan 2 2020 Effects of latency on estimates of the COVID-19 replication number. Zbl 1448.92334Sadun, Lorenzo 1 2020 Learning equations from biological data with limited time samples. Zbl 1448.92241Nardini, John T.; Lagergren, John H.; Hawkins-Daarud, Andrea; Curtin, Lee; Morris, Bethan; Rutter, Erica M.; Swanson, Kristin R.; Flores, Kevin B. 1 2020 Modeling the effect of memory in the adaptive immune response. Zbl 1448.92067Wyatt, Asia; Levy, Doron 1 2020 Stochastic model of bovine babesiosis with juvenile and adult cattle. Zbl 1437.92144Wang, Xueying; Saad-Roy, Chadi M.; van den Driessche, P. 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 Optimizing the timing and composition of therapeutic phage cocktails: a control-theoretic approach. Zbl 1444.92044Li, Guanlin; Leung, Chung Yin; Wardi, Yorai; Debarbieux, Laurent; Weitz, Joshua S. 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 A cellular automata model of oncolytic virotherapy in pancreatic cancer. Zbl 1448.92097Chen, J.; Weihs, D.; Vermolen, F. J. 1 2020 Stoichiometric modeling of aboveground-belowground interaction of herbaceous plant and two herbivores. Zbl 1448.92381Rong, Xinmiao; Sun, Yazhou; Fan, Meng; Wang, Hao 1 2020 Pushing the boundaries: models for the spatial spread of ecosystem engineers. Zbl 1452.35222Lutscher, Frithjof; Fink, Justus; Zhu, Yingjie 1 2020 Predicting \(N\)-strain coexistence from co-colonization interactions: epidemiology meets ecology and the replicator equation. Zbl 1453.92308Madec, Sten; Gjini, Erida 1 2020 A mechanistic investigation into ischemia-driven distal recurrence of glioblastoma. Zbl 1453.92070Curtin, Lee; Hawkins-Daarud, Andrea; Porter, Alyx B.; van der Zee, Kristoffer G.; Owen, Markus R.; Swanson, Kristin R. 1 2020 Control of intracellular molecular networks using algebraic methods. Zbl 1432.92040Sordo Vieira, Luis; Laubenbacher, Reinhard C.; Murrugarra, David 1 2020 Inside dynamics of integrodifference equations with mutations. Zbl 1432.92066Marculis, Nathan G.; Lewis, Mark A. 1 2020 Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041Allen, Henry R.; Ptashnyk, Mariya 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 ...and 1370 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,317 Authors 129 Chen, Lansun 83 Teng, Zhi-dong 75 Tang, Sanyi 72 Chaplain, Mark A. 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