4 citations · 13 across the 17 of their papers we have counts for
5 papers · 1 filter
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…
Inhomogeneous maps and mathematical theory of selection
Georgy P. Karev
In this paper we develop a theory of general selection systems with discrete time and explore the evolution of selection systems, in particular, inhomogeneous populations. We show…
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…
Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions
Georgy P. Karev
Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Inhomogeneous models of populations a…
Dynamics of inhomogeneous populations and global demography models
Georgy P. Karev
The dynamic theory of inhomogeneous populations developed during the last decade predicts several essential new dynamic regimes applicable even to the well-known, simple population…