# The global attractiveness of the fixed point of a gonosomal evolution operator

## TL;DR

This paper proves a conjecture regarding the global attractiveness of a unique fixed point in a sex-linked inheritance model, enhancing understanding of genetic evolution dynamics.

## Contribution

It provides a rigorous proof confirming the global stability of the fixed point in a gonosomal evolution operator, addressing a conjecture by Rozikov and Varro.

## Key findings

- Confirmed the global attractiveness of the fixed point
- Validated the conjecture of Rozikov and Varro
- Enhanced understanding of sex-linked inheritance models

## Abstract

In the paper we prove a conjecture of U.A. Rozikov and R. Varro about globally attractiveness of a unique fixed point of the normalized evolution operator of a sex linked inheritance.