Year: 2021
Author: Rundong Zhao, Qiming Liu
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 561–576
Abstract
In this paper, we establish a novel delayed SIQS epidemic model on scale-free networks, where time delay represents the average quarantine period. Through mathematical analysis, we present the basic reproduction number $R_0.$ Then, we provide the global asymptotical stability of the disease-free equilibrium and the local asymptotical stability of the endemic equilibrium. Finally, we perform numerical simulations to verify the correctness of the main results and analyze the sensitivity of parameters. Our research shows that when $R_0 > 1,$ lengthening the quarantine period can slow the spread of the disease and reduce the number of infected individuals.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.561
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 561–576
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Epidemic model Network Quarantine period Stability.