Bounsanong Sounvoravong, Shangjiang Guo, Yuzhen Bai
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.
Submitted June 11, 2018. Published March 30, 2019.
Math Subject Classifications: 35J20, 35J60.
Key Words: Diffusion; SIR model; basic reproduction number; stability.
Show me the PDF file (993 KB), TEX file for this article.
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Bounsanong Sounvoravong College of Mathematics and Econometrics Hunan University Changsha, Hunan 410082, China email: tear1284@hotmail.com |
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Shangjiang Guo College of Mathematics and Econometrics Hunan University Changsha, Hunan 410082, China email: shangjguo@hnu.edu.cn |
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Yuzhen Bai School of Mathematical Sciences Qufu Normal University Qufu 273165, China email: baiyu99@126.com |
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