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

Xia Liu (), Kun Zhao (), Junli Wang and Huatao Chen
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Xia Liu: Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, ZiBo 255000, P. R. China
Kun Zhao: ��Beijing Electro-Mechanical Engineering Institute, Beijing 100074, P. R. China
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
Huatao Chen: Division of Dynamics and Control, School of Mathematics and Statistics, Shandong University of Technology, ZiBo 255000, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 02, 1-13

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 R0, 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 R0 < 1, moreover, disease-free equilibrium of system is globally asymptotically stable when R0 < 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: Epidemic Model; Finite SF Network; Stability; Time Delay; Direct Lyapunov Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400540

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