Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks

Yingkang Xie, Zhen Wang, Junwei Lu and Yuxia Li

Applied Mathematics and Computation, 2020, vol. 383, issue C

Abstract: In this research, a new SIS (susceptible-infected-susceptible) epidemic model is proposed. Unlike most other models, our model considers the infection rate of multiple edges interfering with one another in complex networks. The stability of the disease-free equilibrium, the basic reproduction number R0, the uniqueness and the global stability of the endemic equilibrium are studied by using the concepts of next-generation matrix, reduction to absurdity, induction and piecewise continuous Lyapunov function. Moreover, some disease control strategies are given. Finally, some numerical simulations are given to confirm the theoretical analysis.

Keywords: Control strategies; Global asymptotic stability; Heterogeneous network; Piecewise continuous Lyapunov function; SIS epidemic model (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320303453

DOI: 10.1016/j.amc.2020.125381

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