2 citations · 7 across the 14 of their papers we have counts for
14 papers
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…
Arnold weak resonance equation as the model of Greek ornamental design
Faina Berezovskaya, Georgiy Karev
We propose and study a mathematical model that qualitatively reproduces several ancient ornamental designs than one can see in historical museums of Crete and Athens. The designs c…
Potential multiple steady-states in the long-term carbon cycle
Stephen Tennenbaum, Faina Berezovskaya, David Schwartzman
In our modeling of the long-term carbon cycle we find potential multiple steady-states in Phanerozoic climates. We include the effects of biotic enhancement of weathering on land,…
Predator-Prey Interactions in Communities with prey dispersal and Allee effects
F. Berezovskaya, S. Wirkus, C. Castillo-Chavez
The population dynamics of predator-prey systems in the presence of patch-specific predators are explored in a setting where the prey population has access to both habitats. The em…
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…