Uniform Stability of Dynamic SICA HIV Transmission Models on Time Scales

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.
Comment: This is a preprint of a paper whose final and definite form is with 'Appl. Math. (Warsaw)', ISSN: 1233-7234. Article accepted for publication 11-June-2024