Bifurcation and stability of a diffusive SIRS epidemic model with time delay
Date
2019-03-30
Authors
Sounvoravong, Bounsanong
Guo, Shangjiang
Bai, Yuzhen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study a reaction-diffusion system for a SIRS epidemic model with time delay and nonlinear incidence rate. On the one hand, we study the existence and stability of the disease-free equilibrium, endemic equilibria and Hopf bifurcation, by analyzing the characteristic equations. On the other hand, we establish formulas determining the direction and stability of the bifurcating periodic solutions.
Description
Keywords
Diffusion, SIR model, Basic reproduction number, Stability
Citation
Sounvoravong, B., Guo, S., & Bai, Y. (2019). Bifurcation and stability of a diffusive SIRS epidemic model with time delay. <i>Electronic Journal of Differential Equations, 2019</i>(45), pp. 1-16.