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

Journal: Physical Review E
Author: David B. Saakian
Link: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.022403
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.