Epidemic dynamics of a fractional-order SIS infectious network model
type: Item
instance of: scholarly article
title: Epidemic dynamics of a fractional-order SIS infectious network model
zbMATH Open document ID: 1471.92325
DOI: 10.1155/2021/5518436
author: Na Liu
author: Yunliu Li
author: Junwei Sun
author: Jie Fang
author: Peng Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2021-08-12T00:00:00Z
review text: Summary: Outbreak and large-scale of the infectious diseases have caused enormous economic losses to all countries in the world. Constructing a network model which could reflect the transmission dynamics of the epidemics and investigating their transmission laws have a significant meaning in the precaution and control of the epidemics. In this article, a fractional-order SIS epidemic network model is proposed. First, an expression of the basic reproduction number is deduced. Second, applying the Lyapunov function, the stability of the equilibrium points about the infectious model is analyzed in detail. Finally, an example is present to verify the theoretical analysis. Furthermore, on account of the fractional-order coefficient, its influence on the transmission dynamics is also exhibited.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7381266
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5518436
OpenAlex ID: W3176765334
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description: scientific article; zbMATH DE number 7381266