# Stability of a retrovirus dymanic model

## TL;DR

This paper introduces a retrovirus dynamic model focusing on low pathogenicity and infected cell reproduction, analyzing the stability of a chronic disease state using Lyapunov functions.

## Contribution

It presents a new mathematical model for retrovirus dynamics and applies Lyapunov methods to study stability of the chronic infection equilibrium.

## Key findings

- Inner equilibrium is stable under certain conditions.
- The model provides insights into chronic retrovirus infections.
- Lyapunov functions effectively analyze stability in this context.

## Abstract

A retrovirus dynamic model is proposed. We pay attention to the case when viral pathogenicity is low and the infected cells are able to reproduce. Using Lyapunov function method we study stability properties of an inner equilibrium of the model. The equilibrium represents a chronic disease steady state.