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

被引：11

作者：

Yang, Haojie ^{[1
]}

Wang, Yougang ^{[1
]}

Kundu, Soumen ^{[2
]}

Song, Zhiqiang ^{[3
]}

Zhang, Zizhen ^{[1
]}

机构：

[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu 233030, Peoples R China

[2] ICFAI Univ Tripura, Fac Sci & Technol, Dept Math, Mohanpur 799210, West Tripura, India

[3] Hulunbuir Univ, Sch Mech & Elect Engn, Hulunbuir 021008, Peoples R China

来源：

RESULTS IN PHYSICS | 2022年 / 32卷

关键词：

SIR epidemic model; Convex incidence rate; Hopf bifurcation; Nyquist criteria; Global exponential stability; TRANSMISSION;

D O I：

10.1016/j.rinp.2021.105025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：7

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