The dynamics of gonosomal evolution operators

TL;DR

This paper analyzes the mathematical dynamics of gonosomal evolution operators related to sex-linked inheritance, focusing on hemophilia, by classifying fixed points and studying trajectory limits in the system.

Contribution

It provides a comprehensive classification of fixed points and limit behaviors for gonosomal evolution operators in the context of hemophilia inheritance.

Findings

Explicit classification of fixed points

Analysis of limit points of trajectories

Application to hemophilia inheritance dynamics

Abstract

In this paper we investigate the dynamical systems generated by gonosomal evolution operator of sex linked inheritance depending on parameters. Mainly we study dynamical systems of a hemophilia which is biological group of disorders connected with genes that diminish the body's ability to control blood clotting or coagulation that is used to stop bleeding when a blood vessel is broken. For the gonosomal operator we discrebe all forms and give explicitly the types of fixed points. Moreover we study limit points of the trajectories of the corresponding dynamical system.