Uniform Stability of Dynamic SICA HIV Transmission Models on Time Scales

TL;DR

This paper analyzes a SICA HIV transmission model on time scales, establishing conditions for solution permanence and the stability of a unique almost periodic solution using Lyapunov functions.

Contribution

It introduces a unified approach to analyze the stability of HIV models on time scales, extending classical results to almost periodic solutions.

Findings

Solutions are permanent under certain conditions

Existence of a unique almost periodic solution

The solution is uniformly asymptotically stable

Abstract

We consider a SICA model for HIV transmission on time scales. We prove permanence of solutions and we derive sufficient conditions for the existence and uniform asymptotic stability of a unique positive almost periodic solution of the system in terms of a Lyapunov function.