Solution of the Crow-Kimura model with a periodically changing (two-season) fitness function.

Saakian, David B; Cheong, Kang Hao · Phys Rev E · 2019

basic_science · Level V

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Abstract

Since the origin of life, both evolutionary dynamics and rhythms have played a key role in the functioning of living systems. The Crow-Kimura model of periodically changing fitness function has been solved exactly, using integral equation with time-ordered exponent. We also found a simple approximate solution for the two-season case. The evolutionary dynamics accompanied by the rhythms provide important insights into the properties of certain biological systems and processes.

Medical subject headings