Turkish Journal of Mathematics
DOI
10.3906/mat-2103-116
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 $R_0$ 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.
Keywords
SIRS (susceptible-infected-recovered-susceptible) epidemic model, global stability, Lyapunov function, Volterra-Lyapunov stability
First Page
1668
Last Page
1677
Recommended Citation
ÇAY, İREM
(2021)
"On the Local and Global Stability of an SIRS Epidemic Model with Logistic Growth and Information Intervention,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 15.
https://doi.org/10.3906/mat-2103-116
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/15
