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 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2103-116
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1668-1677
  • Keywords: SIRS (susceptible-infected-recovered-susceptible) epidemic model, global stability, Lyapunov function, Volterra-Lyapunov stability, DISEASE, MEDIA
  • Kocaeli University Affiliated: Yes

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.