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
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.
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
Affiliations des auteurs :
Bingwen Liu 1
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author = {Bingwen Liu},
title = {Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment},
journal = {Annales Polonici Mathematici},
pages = {155--171},
publisher = {mathdoc},
volume = {116},
number = {2},
year = {2016},
doi = {10.4064/ap3703-9-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap3703-9-2015/}
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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
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