4 citations · 17 across the 28 of their papers we have counts for
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q-bio.QM2008★ 1 cited
How to explore replicator equations?
G. P. Karev
Replicator equations (RE) are among the basic tools in mathematical theory of selection and evolution. We develop a method for reducing a wide class of the RE, which in general are…
q-bio.QM2006
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…
q-bio.QM2005
Biological applications of the theory of birth-and-death processes
Artem S. Novozhilov, Georgy P. Karev, Eugene V. Koonin
In this review, we discuss the applications of the theory of birth-and-death processes to problems in biology, primarily, those of evolutionary genomics. The mathematical principle…