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Dynamics Modeling and Analysis of SIS Epidemic Spreading in Cluster Networks

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  • Jingjing Tian
  • Shuping Li

Abstract

In this paper, we propose and study an SIS epidemic model with clustering characteristics based on networks. Using the method of the existence of positive equilibrium point, we obtain the formula of the basic reproduction number . Furthermore, by constructing Lyapunov function, we also prove that the disease-free equilibrium of the model is globally asymptotically stable when . When , there is only one positive equilibrium point which is globally asymptotically stable. It is also shown that the infection proportion and the basic reproduction number increases as the clustering coefficient increases when the average degree of networks is fixed.

Suggested Citation

  • Jingjing Tian & Shuping Li, 2019. "Dynamics Modeling and Analysis of SIS Epidemic Spreading in Cluster Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-8, May.
    • Handle: RePEc:hin:jnddns:5450360
    DOI: 10.1155/2019/5450360
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