Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment

• Autorzy: Bingwen Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34K13: Periodic solutions
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 2
• Strony: 155-171

Daty

wydano

2016

Twórcy

autor

Bingwen Liu

• College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, Hunan 415000, P.R. China

Identyfikatory

DOI

10.4064/ap3703-9-2015