Dynamic analysis of a fractional-order SIRS model with time delay
Articles
Xueyong Zhou
Xinyang Normal University
https://orcid.org/0000-0001-6796-0469
Mengya Wang
Xinyang Normal University
https://orcid.org/0000-0001-6796-0469
Published 2022-03-01
https://doi.org/10.15388/namc.2022.27.26296
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Keywords

fractional calculus
epidemic model
stability
Hopf bifurcation
delay

How to Cite

Zhou X. and Wang M. (2022) “Dynamic analysis of a fractional-order SIRS model with time delay”, Nonlinear Analysis: Modelling and Control, 27(2), pp. 368-384. doi: 10.15388/namc.2022.27.26296.

Abstract

Mathematical modeling plays a vital role in the epidemiology of infectious diseases. Policy makers can provide the effective interventions by the relevant results of the epidemic models. In this paper, we build a fractional-order SIRS epidemic model with time delay and logistic growth, and we discuss the dynamical behavior of the model, such as the local stability of the equilibria and the existence of Hopf bifurcation around the endemic equilibrium. We present the numerical simulations to verify the theoretical analysis.

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