Dynamics of dioecious population with different fitness of genotypes

2020/01/07 by A. M. Diyorov, Diyorov, A. M., U. A. Rozikov +1
Biochemistry, Genetics and Molecular Biology · Environmental Science · #37N25 #92D10 #Animal Ecology and Behavior Studies #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #FOS: Mathematics #Genetic diversity and population structure

paper · pdf · doi:10.48550/arxiv.2001.01904

openalex publication_date 2020/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Evolutionary behavior in a two-locus system
• Description of trajectories of an evolution operator generated by mosquito population
• A many-loci system with evolution characterized by uncountable linear operators
• Dynamics of a population with two equal dominated species
• Dynamics of many species through competition for resources