Geodesic
Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
Bingwen Liu1
1 College of Mathematics and Computer Science Hunan University of Arts and Science Changde, Hunan 415000, P.R. China
Annales Polonici Mathematici, Tome 116 (2016) no. 2, pp. 155-171.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap3703-9-2015
Keywords: paper concerned sir model periodic incidence rate saturated treatment function under proper conditions employ novel argument establish criterion global exponential stability positive periodic solutions model result obtained improves supplements existing numerical simulations illustrate theoretical results

Bingwen Liu 1

1 College of Mathematics and Computer Science Hunan University of Arts and Science Changde, Hunan 415000, P.R. China 
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Bingwen Liu. Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment. Annales Polonici Mathematici, Tome 116 (2016) no. 2, pp. 155-171. doi : 10.4064/ap3703-9-2015. http://geodesic.mathdoc.fr/articles/10.4064/ap3703-9-2015/

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