2 citations · 7 across the 14 of their papers we have counts for
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Struggle for Existence: the models for Darwinian and non-Darwinian selection
Georgy Karev, Faina Berezovskaya
Classical understanding of the outcome of the struggle for existence results in the Darwinian survival of the fittest. Here we show that the situation may be different, more comple…
On the asymptotic behavior of the solutions to the replicator equation
Georgy P Karev, Artem S Novozhilov, Faina S Berezovskaya
Selection systems and the corresponding replicator equations model the evolution of replicators with a high level of abstraction. In this paper we apply novel methods of analysis o…
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…
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…