Work

Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate

Year: 2021

Type: article

Abstract: In this paper, dynamical behaviors including stability and Hopf bifurcation of a delayed SIR epidemic model with convex incidence rate are examined. We first discuss the existence of Hopf bifurcation. Subsequently, direction and stability of Hopf bifurcation are investigated. Moreover, length of the time delay which can retain stability of the proposed model has been appraised. Specially, global exponential stability is studied. Finally, numerical simulations are carried out with the suitable choices of parameters in the prosed model.

Source: Results in Physics

DOI: 10.1016/j.rinp.2021.105025

Authors: Haojie Yang, Yougang Wang, Soumen Kundu, Zhiqiang Song, Zizhen Zhang

Institutions: Anhui University of Finance and Economics, ICFAI University, Tripura, Hulunbuir University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4200330700

FWCI: 3.134

Cites: 29

Cited by: 19

Related to: 10