Dynamics of dioecious population with different fitness of genotypes

preprint2020arXivOpen access

Abstract

In this paper we study dynamical systems generated by an evolution operator of a dioecious population. This evolution operator is a six-parametric, non-linear operator mapping [0,1]2[0,1]^2 to itself. We find all fixed points and under some conditions on parameters we give limit points of trajectories constructed by iterations of the evolution operator.

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