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Stability and Hopf bifurcation analysis of SIR epidemic model with time delay

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Title: Stability and Hopf bifurcation analysis of SIR epidemic model with time delay

Authors: Ranjith Kumar G., Lakshmi Narayan K., Ravindra Reddy B.

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2016

Volume: 11

Issue: 3

Language: English

Categories
Stability Analysis (25) Time Delay Systems (1) Applied Mathematics (727) Differential Equations (206) Epidemiology (17864)

Abstract

A delayed SIR epidemic model in which the susceptible are assumed to satisfy the logistic equation will be taken up for detailed study. The locally asymptotical stability of the disease-free equilibrium and endemic equilibrium will be studied. Further, the Hopf bifurcation analysis will also be addressed. Also, the theoretical analysis will be supported by Numerical simulations for different parametric values.

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