# zbMATH — the first resource for mathematics

## Bulletin of Mathematical Biology

### A 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.
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#### Latest Issues

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#### 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
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#### 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)

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2,401 Publications have been cited 21,688 times in 13,881 Documents Cited by Year
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Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis. Zbl 0789.92019
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Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
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1998
Pulse vaccination strategy in the SIR epidemic model. Zbl 0941.92026
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1998
Global properties of basic virus dynamics models. Zbl 1334.92409
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2004
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
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A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187
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The trade-off between mutual interference and time lags in predator-prey systems. Zbl 0535.92024
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Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
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2007
Lyapunov functions and global stability for $$SIR$$ and $$SIRS$$ epidemiological models with non-linear transmission. Zbl 1334.92410
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2006
A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment. Zbl 0859.92014
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1996
Explicit solutions of Fisher’s equation for a special wave speed. Zbl 0423.35079
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Multiple transmission pathways and disease dynamics in a waterborne pathogen model. Zbl 1198.92030
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2010
Integrated pest management models and their dynamical behaviour. Zbl 1334.91058
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2005
Persistence in stochastic food web models. Zbl 0533.92028
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2002
Evolutionary game dynamics in finite populations. Zbl 1334.92372
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2004
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Zbl 1298.92081
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2007
Predator-prey systems with group defence: The paradox of enrichment revisited. Zbl 0612.92017
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1986
About deterministic extinction in ratio-dependent predator-prey models. Zbl 1323.92173
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1999
Approximation of the basic reproduction number $$R_{0}$$ for vector-borne diseases with a periodic vector population. Zbl 1298.92093
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2007
Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors. Zbl 0655.92008
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Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028
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1999
Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Zbl 0756.92026
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1993
Interactions between the immune system and cancer: A brief review of non-spatial mathematical models. Zbl 1209.92028
Eftimie, Raluca; Bramson, Jonathan L.; Earn, David J. D.
2011
Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle. Zbl 1225.92059
Liu, Meng; Wang, Ke; Wu, Qiong
2011
Effects of heterogeneity on spread and persistence in rivers. Zbl 1296.92211
Lutscher, Frithjof; Lewis, Mark A.; McCauley, Edward
2006
A mathematical model for assessing control strategies against West Nile virus. Zbl 1334.92392
Bowman, C.; Gumel, A. B.; van den Driessche, P.; Wu, J.; Zhu, H.
2005
How predation can slow, stop or reverse a prey invasion. Zbl 1323.92181
Owen, M. R.; Lewis, M. A.
2001
Chemotactic signaling, microglia, and Alzheimer’s disease senile plaques: Is there a connection? Zbl 1334.92077
Luca, Magdalena; Chavez-Ross, Alexandra; Edelstein-Keshet, Leah; Mogilner, Alex
2003
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
2010
Can a species keep pace with a shifting climate? Zbl 1169.92043
Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A.
2009
Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Zbl 0652.92019
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1988
Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate. Zbl 1197.92040
Huang, Gang; Takeuchi, Yasuhiro; Ma, Wanbiao; Wei, Daijun
2010
Fixation of strategies for an evolutionary game in finite populations. Zbl 1296.92238
Antal, Tibor; Scheuring, István
2006
The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model. Zbl 1053.92519
Hosono, Yuzo
1998
Topological and phenomenological classification of bursting oscillations. Zbl 0813.92010
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1995
Extending the quasi-steady state approximation by changing variables. Zbl 0866.92010
Borghans, José A. M.; de Boer, Rob J.; Segel, Lee A.
1996
Emergence of HIV-1 drug resistance during antiretroviral treatment. Zbl 1298.92053
Rong, Libin; Feng, Zhilan; Perelson, Alan S.
2007
Modeling optimal intervention strategies for cholera. Zbl 1201.92045
Miller Neilan, Rachael L.; Schaefer, Elsa; Gaff, Holly; Fister, K. Renee; Lenhart, Suzanne
2010
Climate and competition: the effect of moving range boundaries on habitat invasibility. Zbl 1334.92454
Potapov, A. B.; Lewis, M. A.
2004
Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Zbl 1323.92029
Levine, Howard A.; Pamuk, Serdal; Sleeman, Brian D.; Nilsen-Hamilton, Marit
2001
Persistence in food webs - I. Lotka-Volterra food chains. Zbl 0422.92017
Gard, Thomas C.; Hallam, Thomas G.
1979
Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Zbl 1334.92214
Zheng, X.; Wise, S. M.; Cristini, V.
2005
Generality of the final size formula for an epidemic of a newly invading infectious disease. Zbl 1334.92419
Ma, Junling; Earn, David J. D.
2006
On a nonautonomous SEIRS model in epidemiology. Zbl 1245.34040
Zhang, Tailei; Teng, Zhidong
2007
Zooplankton mortality and the dynamical behaviour of plankton population models. Zbl 1323.92162
Edwards, Andrew M.; Brindley, John
1999
Global stability of population models. Zbl 0451.92011
Cull, Paul
1981
Qualitative simulation of genetic regulatory networks using piecewise-linear models. Zbl 1334.92282
de Jong, Hidde; Gouzé, Jean-Luc; Hernandez, Céline; Page, Michel; Sari, Tewfik; Geiselmann, Johannes
2004
Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Zbl 1191.92024
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2010
On the validity of the steady state assumption of enzyme kinetics. Zbl 0653.92006
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1988
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
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1987
The modeling of global epidemics: stochastic dynamics and predictability. Zbl 1296.92225
Colizza, V.; Barrat, A.; Barthélemy, M.; Vespignani, A.
2006
Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006
Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P.
2008
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
2010
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
1983
On the origin of tiger bush. Zbl 0903.92031
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1997
Sliding mode control of outbreaks of emerging infectious diseases. Zbl 1312.92043
Xiao, Yanni; Xu, Xiaxia; Tang, Sanyi
2012
Multiple attractors in stage-structured population models with birth pulses. Zbl 1334.92371
Tang, Sanyi; Chen, Lansun
2003
Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions. Zbl 0357.35048
Auchmuty, J. F. G.; Nicolis, G.
1975
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
2003
Traveling waves and spread rates for a West Nile virus model. Zbl 1334.92414
Lewis, Mark; Rencławowicz, Joanna; van den Driessche, P.
2006
A tuberculosis model with seasonality. Zbl 1191.92027
Liu, Luju; Zhao, Xiao-Qiang; Zhou, Yicang
2010
Ratio-dependent predator-prey models of interacting populations. Zbl 1170.92027
Haque, Mainul
2009
Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Zbl 1334.91060
Elbasha, Elamin H.; Gumel, Abba B.
2006
Integrodifference models for persistence in fragmented habitats. Zbl 0923.92031
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1997
Ocean plankton populations as excitable media. Zbl 0803.92026
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1994
Existence and bifurcation of stable equilibrium in two-prey, one-predator communities. Zbl 0524.92025
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 0821.92009
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1995
Global stability in time-delayed single-species dynamics. Zbl 0606.92020
Freedman, H. I.; Gopalsamy, K.
1986
Analytical results for individual and group selection of any intensity. Zbl 1144.92035
Traulsen, Arne; Shoresh, Noam; Nowak, Martin A.
2008
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
2008
Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge. Zbl 0810.92024
Collings, John B.
1995
Linearized oscillations in population dynamics. Zbl 0634.92013
Kulenović, M. R. S.; Ladas, G.
1987
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Zbl 1334.92106
McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.; Sherratt, J. A.
2002
Modelling the dynamics of West Nile virus. Zbl 1334.92397
Cruz-Pacheco, Gustavo; Esteva, Lourdes; Montaõ-Hirose, Juan Antonio; Vargas, Cristobal
2005
Persistence in predator-prey systems with ratio-dependent predator influence. Zbl 0771.92017
Freedman, H. I.; Mathsen, R. M.
1993
Modeling transcriptional control in gene networks – methods, recent results, and future directions. Zbl 1323.92088
Smolen, Paul; Baxter, Douglas A.; Byrne, John H.
2000
Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Zbl 1323.92098
Loladze, Irakli; Kuang, Yang; Elser, James J.
2000
A stochastic analysis of first-order reaction networks. Zbl 1334.92473
Gadgil, Chetan; Lee, Chang Hyeong; Othmer, Hans G.
2005
Enzyme kinetics at high enzyme concentration. Zbl 1323.92099
Schnell, S.; Maini, P. K.
2000
Michaelis-Menten kinetics at high enzyme concentrations. Zbl 1334.92185
Tzafriri, A. R.
2003
A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026
Barrio, R. A.; Varea, C.; Aragón, J. L.; Maini, P. K.
1999
The migration of cells in multicell tumor spheroids. Zbl 1323.92037
Pettet, G. J.; Please, C. P.; Tindall, M. J.; Mcelwain, D. L. S.
2001
Pointwise bounds for a nonlinear heat conduction model of the human head. Zbl 0585.92011
Duggan, R. C.; Goodman, A. M.
1986
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates. Zbl 0387.92016
Freedman, H. I.
1979
Global properties of $$SIR$$ and $$SEIR$$ epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
2009
Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035
Crampin, E. J.; Hackborn, W. W.; Maini, P. K.
2002
A model for treatment strategy in the chemotherapy of AIDS. Zbl 0853.92009
Kirschner, Denise; Webb, G. F.
1996
Analysis of intra-uterine fluid motion induced by uterine contractions. Zbl 1323.92063
1999
Consensus n-trees. Zbl 0455.92019
Margush, T.; McMorris, F. R.
1981
Chemical reaction systems with toric steady states. Zbl 1251.92016
Millán, Mercedes Pérez; Dickenstein, Alicia; Shiu, Anne; Conradi, Carsten
2012
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
1995
Logical identification of all steady states: The concept of feedback loop characteristic states. Zbl 0784.92002
Snoussi, El Houssine; Thomas, René
1993
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004
Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D.
1991
A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123
Dockery, Jack D.; Keener, James P.
2001
Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue. Zbl 1296.92226
Coutinho, F. A. B.; Burattini, M. N.; Lopez, L. F.; Massad, E.
2006
Complex dynamics in a model microbial system. Zbl 0761.92041
Kot, Mark; Sayler, Gary S.; Schultz, Terry W.
1992
Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034
Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M.
1998
Sperm motility in the presence of boundaries. Zbl 0826.92017
Fauci, Lisa J.; McDonald, Amy
1995
Sequential data assimilation of the stochastic SEIR epidemic model for regional COVID-19 dynamics. Zbl 1457.92163
Engbert, Ralf; Rabe, Maximilian M.; Kliegl, Reinhold; Reich, Sebastian
2021
Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
2021
Competitive exclusion in a general multi-species chemostat model with stochastic perturbations. Zbl 1460.92129
Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
2021
The role of cytoplasmic MEX-5/6 polarity in asymmetric cell division. Zbl 1466.92016
Seirin-Lee, Sungrim
2021
Commentary on Ferguson, et al., “Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand”. Zbl 1434.92030
Eubank, S.; Eckstrand, I.; Lewis, B.; Venkatramanan, S.; Marathe, M.; Barrett, C. L.
2020
Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints. Zbl 1443.92195
Yuan, Sanling; Wu, Dongmei; Lan, Guijie; Wang, Hao
2020
On the regional control of a reaction-diffusion system SIR. Zbl 1432.92091
El Alami Laaroussi, Adil; Rachik, Mostafa
2020
Mix and match: phenotypic coexistence as a key facilitator of cancer invasion. Zbl 1432.92031
Strobl, Maximilian A. R.; Krause, Andrew L.; Damaghi, Mehdi; Gillies, Robert; Anderson, Alexander R. A.; Maini, Philip K.
2020
A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
2020
Speed switch in glioblastoma growth rate due to enhanced hypoxia-induced migration. Zbl 1435.92014
Curtin, Lee; Hawkins-Daarud, Andrea; van der Zee, Kristoffer G.; Swanson, Kristin R.; Owen, Markus R.
2020
Modeling the effects of meteorological factors and unreported cases on seasonal influenza outbreaks in Gansu Province, China. Zbl 1444.92116
Jing, Shuang-Lin; Huo, Hai-Feng; Xiang, Hong
2020
The effect of movement behavior on population density in patchy landscapes. Zbl 1432.92086
Zaker, Nazanin; Ketchemen, Laurence; Lutscher, Frithjof
2020
The timing and nature of behavioural responses affect the course of an epidemic. Zbl 1432.92101
Tyson, Rebecca C.; Hamilton, Stephanie D.; Lo, Aboubakr S.; Baumgaertner, Bert O.; Krone, Stephen M.
2020
A current perspective on wound healing and tumour-induced angiogenesis. Zbl 1432.92008
Flegg, Jennifer A.; Menon, Shakti N.; Byrne, Helen M.; McElwain, D. L. Sean
2020
The space of tree-based phylogenetic networks. Zbl 1444.92070
Fischer, Mareike; Francis, Andrew
2020
Population dynamics with threshold effects give rise to a diverse family of allee effects. Zbl 1444.92086
Fadai, Nabil T.; Simpson, Matthew J.
2020
Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases. Zbl 1451.92273
2020
Control of intracellular molecular networks using algebraic methods. Zbl 1432.92040
Sordo Vieira, Luis; Laubenbacher, Reinhard C.; Murrugarra, David
2020
Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth. Zbl 1432.92041
Allen, Henry R.; Ptashnyk, Mariya
2020
Statistically consistent and computationally efficient inference of ancestral DNA sequences in the TKF91 model under dense taxon sampling. Zbl 1435.92044
Fan, Wai-Tong; Roch, Sebastien
2020
Additional analytical support for a new method to compute the likelihood of diversification models. Zbl 1432.92065
Laudanno, Giovanni; Haegeman, Bart; Etienne, Rampal S.
2020
Maternal passive immunity and dengue hemorrhagic fever in infants. Zbl 1433.92047
Adimy, Mostafa; Mancera, Paulo F. A.; Rodrigues, Diego S.; Santos, Fernando L. P.; Ferreira, Cláudia P.
2020
Cell size, mechanical tension, and GTPase signaling in the single cell. Zbl 1432.92012
Buttenschön, Andreas; Liu, Yue; Edelstein-Keshet, Leah
2020
Resonance of periodic combination antiviral therapy and intracellular delays in virus model. Zbl 1432.92052
Browne, Cameron J.; Pan, Xuejun; Shu, Hongying; Wang, Xiang-Sheng
2020
An activation-clearance model for Plasmodium vivax malaria. Zbl 1432.92094
Mehra, Somya; McCaw, James M.; Flegg, Mark B.; Taylor, Peter G.; Flegg, Jennifer A.
2020
A multicellular model of primary saliva secretion in the parotid gland. Zbl 1433.92010
Vera-Sigüenza, Elías; Pages, Nathan; Rugis, John; Yule, David I.; Sneyd, James
2020
Coloured noise from stochastic inflows in reaction-diffusion systems. Zbl 1437.92168
Adamer, Michael F.; Harrington, Heather A.; Gaffney, Eamonn A.; Woolley, Thomas E.
2020
Stationary pattern of a reaction-diffusion mussel-algae model. Zbl 1437.92102
Shen, Zuolin; Wei, Junjie
2020
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
2020
Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion. Zbl 1444.92028
Shuttleworth, Robyn; Trucu, Dumitru
2020
Parameter estimation for evaporation-driven tear film thinning. Zbl 1444.92020
Luke, Rayanne A.; Braun, Richard J.; Driscoll, Tobin A.; Begley, Carolyn G.; Awisi-Gyau, Deborah
2020
Thermodynamic inhibition in chemostat models. With an application to bioreduction of uranium. Zbl 1444.92064
Gaebler, Harry J.; Eberl, Hermann J.
2020
A framework for network-based epidemiological modeling of tuberculosis dynamics using synthetic datasets. Zbl 1444.92122
Renardy, Marissa; Kirschner, Denise E.
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 1448.92316
Lin, Qianying; Musa, Salihu S.; Zhao, Shi; He, Daihai
2020
Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096
Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C.
2020
The de Rham-Hodge analysis and modeling of biomolecules. Zbl 1448.92158
Zhao, Rundong; Wang, Menglun; Chen, Jiahui; Tong, Yiying; Wei, Guo-Wei
2020
Optimal control of the COVID-19 pandemic with non-pharmaceutical interventions. Zbl 1448.92139
Perkins, T. Alex; España, Guido
2020
Multiple attractors and long transients in spatially structured populations with an Allee effect. Zbl 1453.92267
Vortkamp, Irina; Schreiber, Sebastian J.; Hastings, Alan; Hilker, Frank M.
2020
Turing patterning in stratified domains. Zbl 1453.92043
Krause, Andrew L.; Klika, Václav; Halatek, Jacob; Grant, Paul K.; Woolley, Thomas E.; Dalchau, Neil; Gaffney, Eamonn A.
2020
Pushing the boundaries: models for the spatial spread of ecosystem engineers. Zbl 1452.35222
Lutscher, Frithjof; Fink, Justus; Zhu, Yingjie
2020
Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035
Arroyo-Esquivel, Jorge; Hastings, Alan
2020
Renewal reward perspective on linear switching diffusion systems in models of intracellular transport. Zbl 1461.92030
Ciocanel, Maria-Veronica; Fricks, John; Kramer, Peter R.; McKinley, Scott A.
2020
Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds. Zbl 1415.92034
Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A.
2019
Multistationarity in structured reaction networks. Zbl 1415.92083
Dickenstein, Alicia; Millán, Mercedes Pérez; Shiu, Anne; Tang, Xiaoxian
2019
The multistationarity structure of networks with intermediates and a binomial core network. Zbl 1417.92058
2019
Using experimental data and information criteria to guide model selection for reaction-diffusion problems in mathematical biology. Zbl 1415.92041
Warne, David J.; Baker, Ruth E.; Simpson, Matthew J.
2019
Emergence of oscillations in a mixed-mechanism phosphorylation system. Zbl 1415.92092
Conradi, Carsten; Mincheva, Maya; Shiu, Anne
2019
A mathematical framework for modelling the metastatic spread of cancer. Zbl 1415.92099
Franssen, Linnea C.; Lorenzi, Tommaso; Burgess, Andrew E. F.; Chaplain, Mark A. J.
2019
Bayesian parameter identification for Turing systems on stationary and evolving domains. Zbl 1409.92006
Campillo-Funollet, Eduard; Venkataraman, Chandrasekhar; Madzvamuse, Anotida
2019
The final size of a serious epidemic. Zbl 1415.92172
Brauer, Fred
2019
Spatial memory and taxis-driven pattern formation in model ecosystems. Zbl 1417.92217
Potts, Jonathan R.; Lewis, Mark A.
2019
Effects of patch-matrix composition and individual movement response on population persistence at the patch level. Zbl 07135700
Cronin, James T.; Goddard, Jerome II; Shivaji, Ratnasingham
2019
Tropical principal component analysis and its application to phylogenetics. Zbl 1410.92082
Yoshida, Ruriko; Zhang, Leon; Zhang, Xu
2019
A Bayesian sequential learning framework to parameterise continuum models of melanoma invasion into human skin. Zbl 1415.92032
Browning, Alexander P.; Haridas, Parvathi; Simpson, Matthew J.
2019
A hybrid model for the population dynamics of periodical cicadas. Zbl 1415.92154
Machta, Jonathan; Blackwood, Julie C.; Noble, Andrew; Liebhold, Andrew M.; Hastings, Alan
2019
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems. Zbl 1415.92086
Johnston, Matthew D.; Müller, Stefan; Pantea, Casian
2019
Multiscale modelling of fibres dynamics and cell adhesion within moving boundary cancer invasion. Zbl 1417.92029
Shuttleworth, Robyn; Trucu, Dumitru
2019
The threshold infection level for Wolbachia invasion in a two-sex mosquito population model. Zbl 1417.92182
Li, Dan; Wan, Hui
2019
Multistationarity in the space of total concentrations for systems that admit a monomial parametrization. Zbl 1427.92039
Conradi, Carsten; Iosif, Alexandru; Kahle, Thomas
2019
Generalized social dilemmas: the evolution of cooperation in populations with variable group size. Zbl 1430.91019
Broom, Mark; Pattni, Karan; Rychtář, Jan
2019
On the number of non-equivalent ancestral configurations for matching gene trees and species trees. Zbl 1410.92072
Disanto, Filippo; Rosenberg, Noah A.
2019
A mathematical model of fluid transport in an accurate reconstruction of parotid acinar cells. Zbl 1415.92070
Vera-Sigüenza, Elías; Pages, Nathan; Rugis, John; Yule, David I.; Sneyd, James
2019
Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection. Zbl 1415.92184
Kitagawa, Kosaku; Kuniya, Toshikazu; Nakaoka, Shinji; Asai, Yusuke; Watashi, Koichi; Iwami, Shingo
2019
Asymptotic state of a two-patch system with infinite diffusion. Zbl 1415.92215
Wang, Yuanshi
2019
Global sensitivity analysis of high-dimensional neuroscience models: an example of neurovascular coupling. Zbl 1415.92072
Hart, J. L.; Gremaud, P. A.; David, T.
2019
Metastability as a coexistence mechanism in a model for dryland vegetation patterns. Zbl 1417.92209
Eigentler, Lukas; Sherratt, Jonathan A.
2019
Modeling HIV dynamics under combination therapy with inducers and antibodies. Zbl 1417.92097
Yan, Chao; Wang, Wendi
2019
Invasion dynamics in an intraguild predation system with predator-induced defense. Zbl 1427.92077
Köhnke, M. C.
2019
Reconstructing tree-child networks from reticulate-edge-deleted subnetworks. Zbl 1428.92080
Murakami, Yukihiro; van Iersel, Leo; Janssen, Remie; Jones, Mark; Moulton, Vincent
2019
Disease extinction versus persistence in discrete-time epidemic models. Zbl 1437.92141
van den Driessche, P.; Yakubu, Abdul-Aziz
2019
Dynamics of fluorescent imaging for rapid tear thinning. Zbl 1409.92143
Zhong, L.; Braun, R. J.; Begley, C. G.; King-Smith, P. E.
2019
An optimal control model to reduce and eradicate anthrax disease in herbivorous animals. Zbl 1409.92146
Croicu, Ana-Maria
2019
Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry. Zbl 1410.92077
Kosta, Dimitra; Kubjas, Kaie
2019
Identifiability and reconstructibility of species phylogenies under a modified coalescent. Zbl 1410.92078
Long, Colby; Kubatko, Laura
2019
Maximum likelihood estimates of rearrangement distance: implementing a representation-theoretic approach. Zbl 1410.92068
Terauds, Venta; Sumner, Jeremy
2019
Propagation of extrinsic fluctuations in biochemical birth-death processes. Zbl 1415.92079
Bressloff, P. C.; Levien, E.
2019
Universal statistics of incubation periods and other detection times via diffusion models. Zbl 1415.92166
Bakhtin, Yuri
2019
Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics. Zbl 1415.92093
Kang, Hye-Won; KhudaBukhsh, Wasiur R.; Koeppl, Heinz; Rempała, Grzegorz A.
2019
Dynamics of a producer-grazer model incorporating the effects of phosphorus loading on grazer’s growth. Zbl 1415.92202
Asik, Lale; Peace, Angela
2019
A model of $$\mathrm{Ca}^{2+}$$ dynamics in an accurate reconstruction of parotid acinar cells. Zbl 1415.92075
Pages, Nathan; Vera-Sigüenza, Elías; Rugis, John; Kirk, Vivien; Yule, David I.; Sneyd, James
2019
Age structure can account for delayed logistic proliferation of scratch assays. Zbl 1417.92027
Ponce Bobadilla, Ana Victoria; Carraro, Thomas; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás
2019
Dynamics of bone cell interactions and differential responses to PTH and antibody-based therapies. Zbl 1426.92025
Lemaire, Vincent; Cox, David R.
2019
How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161
Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof
2019
Forecasting epidemics through nonparametric estimation of time-dependent transmission rates using the SEIR model. Zbl 1430.92109
Smirnova, Alexandra; deCamp, Linda; Chowell, Gerardo
2019
The impact of recruitment on the dynamics of an immune-suppressed within-human-host model of the Plasmodium falciparum parasite. Zbl 1430.92114
Woldegerima, Woldegebriel A.; Teboh-Ewungkem, Miranda I.; Ngwa, Gideon A.
2019
Analysis of dynamics of recurrent epidemics: periodic or non-periodic. Zbl 1430.92093
Cao, Hui; Yan, Dongxue; Zhang, Suxia; Wang, Xiaoqin
2019
An environmental model of honey bee colony collapse due to pesticide contamination. Zbl 1442.92193
Magal, P.; Webb, G. F.; Wu, Yixiang
2019
Compensatory foraging in stoichiometric producer-grazer models. Zbl 1430.92130
Peace, Angela; Wang, Hao
2019
Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology. Zbl 1409.92079
Bowler, Louise A.; Gavaghan, David J.; Mirams, Gary R.; Whiteley, Jonathan P.
2019
A nonlinear mathematical model of drug delivery from polymeric matrix. Zbl 1409.92099
Chakravarty, Koyel; Dalal, D. C.
2019
Intermittent preventive treatment (IPT): its role in averting disease-induced mortality in children and in promoting the spread of antimalarial drug resistance. Zbl 1409.92149
Manore, Carrie A.; Teboh-Ewungkem, Miranda I.; Prosper, Olivia; Peace, Angela; Gurski, Katharine; Feng, Zhilan
2019
Preface. Algebraic methods in phylogenetics. Zbl 1410.00022
Casanellas, Marta; Rhodes, John A.
2019
Dimensions of group-based phylogenetic mixtures. Zbl 1410.92071
Baños, Hector; Bushek, Nathaniel; Davidson, Ruth; Gross, Elizabeth; Harris, Pamela E.; Krone, Robert; Long, Colby; Stewart, Allen; Walker, Robert
2019
Identifying species network features from gene tree quartets under the coalescent model. Zbl 1410.92070
Baños, Hector
2019
On the Shapley value of unrooted phylogenetic trees. Zbl 1410.92081
Wicke, Kristina; Fischer, Mareike
2019
A growth-fragmentation approach for modeling microtubule dynamic instability. Zbl 1415.92073
Honoré, Stéphane; Hubert, Florence; Tournus, Magali; White, Diana
2019
Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation. Zbl 1415.92129
Balelli, Irene; Milišić, Vuk; Wainrib, Gilles
2019
The species problem from the modeler’s point of view. Zbl 1415.92135
Manceau, Marc; Lambert, Amaury
2019
Correction to: “Tree-based unrooted phylogenetic networks”. Zbl 1417.92112
Francis, A.; Huber, K. T.; Moulton, V.
2019
Multiple equilibria in a non-smooth epidemic model with medical-resource constraints. Zbl 1415.92198
Wang, Aili; Xiao, Yanni; Smith?, Robert
2019
...and 1310 more Documents
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#### Cited by 16,846 Authors

 129 Chen, Lansun 73 Teng, Zhi-dong 72 Tang, Sanyi 70 Chaplain, Mark A. J. 69 Maini, Philip Kumar 59 Byrne, Helen Mary 58 Takeuchi, Yasuhiro 57 Ruan, Shigui 55 Xiao, Yanni 54 Song, Xinyu 52 Zhao, Xiao-Qiang 50 Jin, Zhen 48 Chattopadhyay, Joydev 46 Gumel, Abba B. 44 Elaiw, Ahmed M. 44 Sherratt, Jonathan A. 44 Wu, Jianhong 42 Liu, Meng 41 Kuang, Yang 40 Simpson, Matthew J. 39 Banerjee, Malay 39 Gaffney, Eamonn A. 39 Jiang, Daqing 39 Lewis, Mark Alun 39 Xu, Rui 38 Hayat, Tasawar 38 van den Driessche, Pauline 37 Banks, Harvey Thomas 37 Carrillo de la Plata, José Antonio 37 Friedman, Avner 37 Wang, Wendi 37 Wei, Junjie 36 Allen, Linda J. S. 36 Cheke, Robert A. 36 Demiray, Hilmi 36 Feng, Zhilan 36 King, John Robert 36 Lutscher, Frithjof 36 Wang, Ke 36 Zou, Xingfu 35 Kumar Upadhyay, Ranjit 34 Gao, Shujing 34 Nowak, Martin Andreas 34 Qiu, Zhipeng 34 Wang, Jin 33 Broom, Mark 33 Cui, Jingan 33 Meng, Xinzhu 33 Rychtár, Jan 33 Shi, Junping 33 Wang, Xia 31 Venturino, Ezio 30 Kar, Tapan Kumar 30 Li, Wan-Tong 30 Lou, Yuan 30 Sun, Guiquan 30 Wang, Jinliang 30 Yakubu, Abdul-Aziz 30 Zhang, Tonghua 29 d’Onofrio, Alberto 29 Layton, Anita T. 29 Li, Xuezhi 29 Martcheva, Maia 29 Rong, Libin 29 Zhu, Huaiping 28 Baker, Ruth Elizabeth 28 Freedman, Herbert Irving 28 Liu, Xianning 28 Pei, Yongzhen 28 Samanta, Guru Prasad 28 Yuan, Sanling 28 Zhang, Tailei 27 Jang, Sophia R.-J. 27 Kang, Yun 27 Ma, Wanbiao 27 Perelson, Alan S. 27 Petrovskii, Sergei V. 27 Wang, Weiming 26 Jiao, Jianjun 26 Lorenzi, Tommaso 26 Painter, Kevin J. 25 Liu, Shengqiang 25 Madzvamuse, Anotida 25 Reidys, Christian Michael 25 Stadler, Peter F. 25 Wang, Hao 24 Bressloff, Paul C. 24 Preziosi, Luigi 24 Samanta, Sudip K. 24 Webb, Glenn Francis 24 Winkler, Michael 24 Zhao, Min 23 Bellomo, Nicola 23 Eftimie, Raluca 23 Hilker, Frank M. 23 Kim, Peter S. 23 Lenhart, Suzanne M. 23 Liu, Qun 23 Volpert, Vitaly A. 23 Wang, Yuanshi ...and 16,746 more Authors
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#### Cited in 641 Journals

 1,479 Bulletin of Mathematical Biology 1,154 Journal of Theoretical Biology 808 Mathematical Biosciences 775 Journal of Mathematical Biology 443 Applied Mathematics and Computation 285 Nonlinear Analysis. Real World Applications 281 Journal of Mathematical Analysis and Applications 261 Chaos, Solitons and Fractals 261 Mathematical Biosciences and Engineering 234 Discrete and Continuous Dynamical Systems. Series B 223 International Journal of Biomathematics 217 Theoretical Population Biology 215 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 196 Mathematical and Computer Modelling 194 Journal of Biological Dynamics 158 Journal of Differential Equations 157 Applied Mathematical Modelling 144 Computers & Mathematics with Applications 138 Advances in Difference Equations 132 Discrete Dynamics in Nature and Society 129 Communications in Nonlinear Science and Numerical Simulation 121 Journal of Biological Systems 118 Physica D 116 Chaos 115 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 115 Nonlinear Dynamics 113 Theoretical Computer Science 113 SIAM Journal on Applied Mathematics 112 Abstract and Applied Analysis 104 Mathematical Modelling of Natural Phenomena 99 Journal of Computational and Applied Mathematics 97 Mathematical Methods in the Applied Sciences 96 Journal of Mathematical Chemistry 94 Applied Mathematics Letters 90 Journal of Computational Physics 83 Computational & Mathematical Methods in Medicine 81 Discrete Applied Mathematics 80 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 73 Mathematics and Computers in Simulation 63 Journal of Applied Mathematics and Computing 63 SIAM Journal on Applied Dynamical Systems 60 Journal of Fluid Mechanics 59 Journal of Difference Equations and Applications 57 Physica A 57 Journal of Dynamics and Differential Equations 54 Biological Cybernetics 51 Journal of Applied Mathematics 50 Mathematical Problems in Engineering 49 Complexity 48 Journal of Nonlinear Science 47 Journal of Statistical Physics 47 Computational and Applied Mathematics 46 Discrete and Continuous Dynamical Systems 45 Journal of the Franklin Institute 43 Applicable Analysis 40 Acta Applicandae Mathematicae 40 Differential Equations and Dynamical Systems 39 Nonlinearity 39 ZAMP. Zeitschrift für angewandte Mathematik und Physik 39 Advances in Applied Mathematics 39 Journal of Applied Analysis and Computation 38 Computer Methods in Applied Mechanics and Engineering 38 International Journal of Applied and Computational Mathematics 36 SIAM Journal on Mathematical Analysis 32 Nonlinear Analysis. Theory, Methods & Applications 30 Automatica 30 The ANZIAM Journal 28 Ricerche di Matematica 28 Advances in Complex Systems 28 Discrete and Continuous Dynamical Systems. Series S 27 Neural Computation 26 Applied Numerical Mathematics 26 International Journal of Computer Mathematics 25 European Journal of Applied Mathematics 24 International Journal of Engineering Science 24 International Journal of Mathematics and Mathematical Sciences 24 Japan Journal of Industrial and Applied Mathematics 24 Natural Resource Modeling 24 Communications on Pure and Applied Analysis 23 Nonlinear Analysis. Hybrid Systems 23 Dynamic Games and Applications 22 Journal of Classification 22 Acta Mathematicae Applicatae Sinica. English Series 22 The Journal of Mathematical Neuroscience 21 Physics of Fluids 21 Journal of Computational Neuroscience 20 Rocky Mountain Journal of Mathematics 20 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 20 Nonlinear Analysis. Modelling and Control 19 Biometrics 19 Journal of Scientific Computing 19 Mathematical Population Studies 18 Information Sciences 18 Journal of Optimization Theory and Applications 18 Systems & Control Letters 18 International Journal of Nonlinear Sciences and Numerical Simulation 18 Computational Biology and Chemistry 17 Computers and Fluids 17 Applied Mathematics and Mechanics. (English Edition) 17 Algorithmica ...and 541 more Journals
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#### Cited in 61 Fields

 11,427 Biology and other natural sciences (92-XX) 3,456 Ordinary differential equations (34-XX) 2,904 Partial differential equations (35-XX) 1,608 Dynamical systems and ergodic theory (37-XX) 1,143 Numerical analysis (65-XX) 1,083 Probability theory and stochastic processes (60-XX) 722 Systems theory; control (93-XX) 665 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 635 Fluid mechanics (76-XX) 528 Computer science (68-XX) 483 Statistics (62-XX) 408 Calculus of variations and optimal control; optimization (49-XX) 388 Combinatorics (05-XX) 291 Difference and functional equations (39-XX) 242 Mechanics of deformable solids (74-XX) 222 Operations research, mathematical programming (90-XX) 206 Statistical mechanics, structure of matter (82-XX) 190 Integral equations (45-XX) 139 Information and communication theory, circuits (94-XX) 136 Classical thermodynamics, heat transfer (80-XX) 113 Operator theory (47-XX) 71 Real functions (26-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 42 Optics, electromagnetic theory (78-XX) 41 Mechanics of particles and systems (70-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 37 General and overarching topics; collections (00-XX) 33 Global analysis, analysis on manifolds (58-XX) 30 Commutative algebra (13-XX) 30 Convex and discrete geometry (52-XX) 30 Quantum theory (81-XX) 26 Mathematical logic and foundations (03-XX) 25 Approximations and expansions (41-XX) 24 General topology (54-XX) 23 Functional analysis (46-XX) 23 Geophysics (86-XX) 20 Algebraic geometry (14-XX) 17 Category theory; homological algebra (18-XX) 16 Algebraic topology (55-XX) 15 Group theory and generalizations (20-XX) 15 Special functions (33-XX) 14 History and biography (01-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Measure and integration (28-XX) 12 Manifolds and cell complexes (57-XX) 11 Differential geometry (53-XX) 10 Number theory (11-XX) 10 Nonassociative rings and algebras (17-XX) 10 Mathematics education (97-XX) 7 Integral transforms, operational calculus (44-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Relativity and gravitational theory (83-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 1 General algebraic systems (08-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX)