A dynamical system of temperature-dependent sex linked inheritance

2018/02/27 by Z.S. Boxonov, Boxonov, Z. S., U. A. Rozikov +1
Decision Sciences · Medicine · #17D92 #17D99 #60J27 #Dynamical Systems (math.DS) #FOS: Mathematics #Game Theory and Applications #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1802.09796

openalex publication_date 2018/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, R.Varro introduced a gonosomal algebra of the temperature-dependent sex determination system which is controlled by three temperature ranges. In this paper we study dynamical systems which are given by quadratic evolution operators of the gonosomal algebras of sex-liked populations. We show that this evolution operator can be reduced to an evolution operator of free population. Then using behavior of the free population we describe the set of limit points for trajectories of several evolution operators of the sex-linked populations.

Related

• Gonosomal algebras and associated discrete-time dynamical systems
• Gonosomal algebras and operators associated to genetic systems with a single male genotype
• Constrained evolution algebras and dynamical systems of a bisexual population
• The dynamics of gonosomal evolution operators
• Dynamical systems generated by a gonosomal evolution operator