Globalexponential stability of an epidemic model with saturated and periodic incidence rate

摘要

This paper is concerned with a SIR model with saturated and periodic incidence rate and saturated treatment function. By using differential inequality technique, we employ a novel argument to show that the disease-free equilibrium is globally exponentially stable. The obtained results improve and supplement existing ones. We also use numerical simulations to demonstrate our theoretical results. Copyright (C) 2015 John Wiley & Sons, Ltd.