Stability and Hopf bifurcation of an SIR epidemic model with density-dependent transmission and Allee effect

Stability and Hopf bifurcation of an SIR epidemic model with density-dependent transmission and Allee effect

In this paper, an SIR model with a strong Allee effect and density-dependent transmission is proposed, and its characteristic dynamics are investigated. The elementary mathematical characteristic of the model is studied, including positivity, boundedness and the existence of equilibrium. The local a...

Full description

Bibliographic Details
Main Authors: Xiaofen Lin, Hua Liu, Xiaotao Han, Yumei Wei
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
strong allee effect
density-dependent transmission
sir epidemic model
bistability
hopf bifurcation
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023129?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/mbe.2023129?viewType=HTML

Similar Items