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STABILITY ANALYSIS OF A SEIQRS EPIDEMIC MODEL ON THE FINITE SCALE-FREE NETWORK

Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, ZiBo 255000, P. R. China

E-mail Address: lxia010@163.com

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KUN ZHAO

Beijing Electro-Mechanical Engineering Institute, Beijing 100074, P. R. China

E-mail Address: kunzhaohit@yeah.net

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JUNLI WANG

Institute of Energy Economy & Sustainability Development, Peking University, Beijing 100871, P. R. China

Institute of Public Management and Human Resources, Development Research Center of the State Council, Beijing 100010, P. R. China

E-mail Address: jlking@pku.edu.cn

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, and

HUATAO CHEN

Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, ZiBo 255000, P. R. China

E-mail Address: htchencn@sdut.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0218348X22400540Cited by:3 (Source: Crossref)

This article is part of the issue:

Special Issue on Dynamical Systems and Their Applications to Engineering, Economy and Health Sciences
Guest Editors: Juan L. G. Guirao, Elbaz I. Abouelmagd and Bruce A. Wade

Abstract

Taking into account the quarantine for an infectious disease, a susceptible-exposed-infected-quarantined-recovery-susceptible (SEIQRS) epidemic model with time delay on the finite scale-free network is given. The basic reproduction number $R_{0}$ $R_{0}$ , which is dependent not only on all kinds of transfer rates, but also on the topology of the network, is derived. By constructing the Lyapunov function, it is asserted that the disease-free equilibrium of system is locally asymptotically stable if $R_{0} < 1$ $R_{0} < 1$ , moreover, disease-free equilibrium of system is globally asymptotically stable when $R_{0} < 1$ $R_{0} < 1$ . In addition, the influence of network nodes on the spread of diseases is discussed. Finally, the theoretical results are verified by corresponding numerical simulation.

Keywords:

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Vol. 30, No. 02

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History

Received 18 February 2021

Accepted 20 July 2021

Published: March 7, 2022

Information

This is an Open Access article in the “Special Issue on Dynamical Systems and Their Applications to Engineering, Economy and Health Sciences”, edited by Juan L.G. Guirao (Technical University of Cartagena, Spain), Elbaz I. Abouelmagd (National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt) & Bruce A. Wade (University of Louisiana at Lafayette, USA) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

STABILITY ANALYSIS OF A SEIQRS EPIDEMIC MODEL ON THE FINITE SCALE-FREE NETWORK

Abstract

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System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

STABILITY ANALYSIS OF A SEIQRS EPIDEMIC MODEL ON THE FINITE SCALE-FREE NETWORK

Abstract

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