Article

A dynamical system of temperature-dependent sex linked inheritance

Z.S. BoxonovZ.S. Boxonov, Namangan state University, Namangan, UzbeksiatnU. A. RozikovU. A. Rozikov, Institute of mathematics, 29, Do'rmon Yo'li str., 100125, Tashkent, Uzbek-istan

Uzbek Mathematical Journaljournal2018en

ABI

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.

Topics

Mathematical and Theoretical Epidemiology and Ecology Models Game Theory and Applications

Identifiers

DOI: 10.29229/uzmj.2018-2-2

Citations and references

Cited by 08 references

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