2 citations · 5 across the 8 of their papers we have counts for
6 papers
Pure cross-diffusion models: Implications for traveling wave solutions
Faina S. Berezovskaya, Georgy P. Karev, Artem S. Novozhilov
An analysis of traveling wave solutions of pure cross-diffusion systems, i.e., systems that lack reaction and self-diffusion terms, is presented. Using the qualitative theory of ph…
Population models with singular equilibrium
Faina S Berezovskaya, Artem S Novozhilov, Georgy P Karev
A class of models of biological population and communities with a singular equilibrium at the origin is analyzed; it is shown that these models can possess a dynamical regime of de…
Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure
Georgy P. Karev, Artem S. Novozhilov, Faina S. Berezovskaya
Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Here we develop a general approach to…
Modeling genome evolution with a diffusion approximation of a birth-and-death process
Georgy P. Karev, Faina S. Berezovskaya, Eugene V. Koonin
In our previous studies, we developed discrete-space Birth, Death and Innovation Models (BDIM) of genome evolution. These models explain the origin of the characteristic Pareto dis…
Modeling the dynamics of natural rotifer populations: phase-parametric analysis
Faina S. Berezovskaya, Georgy P. Karev, Terry W. Snell
A model of the dynamics of natural rotifer populations is described as a discrete nonlinear map depending on three parameters, which reflect characteristics of the population and e…
Traveling wave solutions of Fitzhugh model with cross-diffusion
F. Berezovskaya, E. Camacho, S. Wirkus +1
The Fitzhugh-Nagumo equations have been used as a caricature of the Hodgkin-Huxley equations of neuron firing to better understand the essential dynamics of the interaction of the…