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.

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Attribution 4.0 International

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