Positive Almost Periodic Solutions for an Epidemic Model with Saturated Treatment

Abstract

This paper is concerned with a non-autonomous SIR epidemic model, which involves almost periodic incidence rate and saturated treatment function. By using the differential inequality technique and Lyapunov functional method, we obtain the existence and global exponential stability of almost periodic solutions for the addressed SIR model, which improve and supplement existing ones. Also, an example and its numerical simulations are given to demonstrate our theoretical results.