Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
Volume 116 / 2016
Annales Polonici Mathematici 116 (2016), 155-171
MSC: Primary 34C25; Secondary 34K13.
DOI: 10.4064/ap3703-9-2015
Published online: 17 February 2016
Abstract
This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.
