# Global Stability analysis of a cellular model of Hepatitis C Virus infection under treatment

## TL;DR

This paper conducts a comprehensive stability analysis of a cellular model for Hepatitis C Virus infection under treatment, demonstrating global stability and boundedness of solutions using Lyapunov functions.

## Contribution

It provides the first global stability proof for the HCV model under therapy, ensuring solutions are positive, bounded, and do not exhibit periodic behavior.

## Key findings

- Solutions are global, positive, and bounded.
- The model is globally asymptotically stable.
- No periodic orbits are observed.

## Abstract

In this paper, we present the global analysis of a HCV model under therapy. We prove that the solutions with positive initial values are global, positive, bounded and not display periodic orbits. In addition, we show that the model is globally asymptotically stable, by using appropriate Lyapunov functions.