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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap3703-9-2015,
author = {Bingwen Liu},
title = {Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment},
journal = {Annales Polonici Mathematici},
volume = {116},
year = {2016},
pages = {155-171},
zbl = {1338.34094},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3703-9-2015}
}
Bingwen Liu. Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment. Annales Polonici Mathematici, Tome 116 (2016) pp. 155-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3703-9-2015/