Dynamics of a population with different fitness of genotypes

DOI10.29229/UZMJ.2020-1-4zbMATH Open1488.37073arXiv2001.01904OpenAlexW3020206353MaRDI QIDQ5006681

A. M. Diyorov, Utkir A. Rozikov

Publication date: 16 August 2021

Published in: Uzbek Mathematical Journal (Search for Journal in Brave)

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 $[0,1{]}^2$ 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.

Full work available at URL: https://arxiv.org/abs/2001.01904

zbMATH Keywords

fixed pointdynamical systemtrajectorylimit pointgenotype

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)

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