Bifurcations of an SIRS epidemic model with a general saturated incidence rate

Bifurcations of an SIRS epidemic model with a general saturated incidence rate

This paper is concerned with the bifurcations of a susceptible-infectious-recovered-susceptible (SIRS) epidemic model with a general saturated incidence rate $ k I^p/(1+\alpha I^p) $. For general $ p > 1 $, it is shown that the model can undergo saddle-node bifurcation, Bogdanov-Takens bifurc...

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Bibliographic Details
Main Authors: Fang Zhang, Wenzhe Cui, Yanfei Dai, Yulin Zhao
Format: Article
Language:English
Published: AIMS Press 2022-07-01
Series:Mathematical Biosciences and Engineering
Subjects:
sirs model
generalized saturated incidence rate
bogdanov-takens bifurcation
hopf bifurcation
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2022501?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2022501?viewType=HTML

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