On the local and global stability of an sirs epidemic model with logistic growth and information intervention


ÇAY İ.

TURKISH JOURNAL OF MATHEMATICS, vol.45, no.4, pp.1668-1677, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2103-116
  • Title of Journal : TURKISH JOURNAL OF MATHEMATICS
  • Page Numbers: pp.1668-1677
  • Keywords: SIRS (susceptible-infected-recovered-susceptible) epidemic model, global stability, Lyapunov function, Volterra-Lyapunov stability, DISEASE, MEDIA

Abstract

In this study, we investigate an susceptible-infected-recovered-susceptible (SIRS) epidemic model with logistic growth and information intervention. Firstly, the basic reproduction number R0 is defined and the main results are given in terms of local stability. Then, sufficient conditions for the global stability of endemic equilibrium are obtained. Finally, some numerical simulations are given to validate our theoretical conclusions.