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Top Articles

#TitleJournalYearCitations
1On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populationsJournal of Mathematical Biology19903,625
2Simplified neuron model as a principal component analyzerJournal of Mathematical Biology19821,962
3A user’s guide to PDE models for chemotaxisJournal of Mathematical Biology20091,185
4The dynamical theory of coevolution: a derivation from stochastic ecological processesJournal of Mathematical Biology1996934
5Models of dispersal in biological systemsJournal of Mathematical Biology1988711
6Modeling immunotherapy of the tumor - immune interactionJournal of Mathematical Biology1998699
7Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological modelsJournal of Mathematical Biology1986670
8Dynamical behavior of epidemiological models with nonlinear incidence ratesJournal of Mathematical Biology1987630
9Convergence results and a Poincar�-Bendixson trichotomy for asymptotically autonomous differential equationsJournal of Mathematical Biology1992537
10Numerical taxonomy with fuzzy setsJournal of Mathematical Biology1974508
11The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical modelJournal of Mathematical Biology1982502
12Global qualitative analysis of a ratio-dependent predator-prey systemJournal of Mathematical Biology1998476
13Storing covariance with nonlinearly interacting neuronsJournal of Mathematical Biology1977467
14A non-local model for a swarmJournal of Mathematical Biology1999444
15Biased random walk models for chemotaxis and related diffusion approximationsJournal of Mathematical Biology1980401
16Multiple pulse interactions and averaging in systems of coupled neural oscillatorsJournal of Mathematical Biology1991389
17Optimal control of the chemotherapy of HIVJournal of Mathematical Biology1997385
18The dynamical theory of coevolution: a derivation from stochastic ecological processesJournal of Mathematical Biology1996377
19Predator-prey populations with parasitic infectionJournal of Mathematical Biology1989366
20The dynamics of density dependent population modelsJournal of Mathematical Biology1977362
21Modelling the fear effect in predator–prey interactionsJournal of Mathematical Biology2016357
22A quantitative genetic model for growth, shape, reaction norms, and other infinite-dimensional charactersJournal of Mathematical Biology1989350
23On spreading speeds and traveling waves for growth and migration models in a periodic habitatJournal of Mathematical Biology2002348
24Thresholds and travelling waves for the geographical spread of infectionJournal of Mathematical Biology1978347
25The epidemic threshold of vector-borne diseases with seasonalityJournal of Mathematical Biology2006345
26Multiscale modelling and nonlinear simulation of vascular tumour growthJournal of Mathematical Biology2009319
27A competitive exclusion principle for pathogen virulenceJournal of Mathematical Biology1989316
28Dynamic models of infectious diseases as regulators of population sizesJournal of Mathematical Biology1992315
29The evolution of slow dispersal rates: a reaction diffusion modelJournal of Mathematical Biology1998311
30Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey systemJournal of Mathematical Biology2001308
31Some epidemiological models with nonlinear incidenceJournal of Mathematical Biology1991302
32Analysis of linear determinacy for spread in cooperative modelsJournal of Mathematical Biology2002288
33Competitive exclusion in a vector-host model for the dengue feverJournal of Mathematical Biology1997286
34Global stability of an SIR epidemic model with time delaysJournal of Mathematical Biology1995277
35Mathematical modeling of tumor-induced angiogenesisJournal of Mathematical Biology2004277
36The evolution of dispersalJournal of Mathematical Biology2003276
37Analysis of an SEIRS epidemic model with two delaysJournal of Mathematical Biology1996273
38On the differential equations of species in competitionJournal of Mathematical Biology1976270
39Isochrons and phaseless setsJournal of Mathematical Biology1975269
40Travelling fronts in nonlinear diffusion equationsJournal of Mathematical Biology1975269
41Backwards bifurcations and catastrophe in simple models of fatal diseasesJournal of Mathematical Biology1998269
42The dynamics of cocirculating influenza strains conferring partial cross-immunityJournal of Mathematical Biology1997268
43An adaptive model for synchrony in the firefly Pteroptyx malaccaeJournal of Mathematical Biology1991267
44Density-dependent birth rate, birth pulses and their population dynamic consequencesJournal of Mathematical Biology2002265
45A stage structured predator-prey model and its dependence on maturation delay and death rateJournal of Mathematical Biology2004265
46Mathematical modelling of the intravenous glucose tolerance testJournal of Mathematical Biology2000263
47Mutual interactions, potentials, and individual distance in a social aggregationJournal of Mathematical Biology2003262
48SIR dynamics in random networks with heterogeneous connectivityJournal of Mathematical Biology2008259
49A mathematical model of cell-to-cell spread of HIV-1 that includes a time delayJournal of Mathematical Biology2003256
50To treat or not to treat: the case of tuberculosisJournal of Mathematical Biology1997254