English

A dynamical system of temperature-dependent sex linked inheritance

Dynamical Systems 2018-02-28 v1

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.

Keywords

Cite

@article{arxiv.1802.09796,
  title  = {A dynamical system of temperature-dependent sex linked inheritance},
  author = {Z. S. Boxonov and U. A. Rozikov},
  journal= {arXiv preprint arXiv:1802.09796},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-23T00:34:51.836Z