Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model | Zendy

Na Liu | Zendy; Yunliu Li | Zendy; Junwei Sun | Zendy; Jie Fang | Zendy; Peng Liu | Zendy

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Epidemic Dynamics of a Fractional-Order SIS Infectious Network Model

Author(s) -

Na Liu,

Yunliu Li,

Junwei Sun,

Jie Fang,

Peng Liu

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/5518436

Subject(s) - basic reproduction number , lyapunov function , epidemic model , transmission (telecommunications) , stability (learning theory) , order (exchange) , mathematics , computer science , function (biology) , dynamics (music) , stability theory , demography , telecommunications , economics , physics , biology , sociology , nonlinear system , population , finance , quantum mechanics , machine learning , evolutionary biology , acoustics

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.

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