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Global Stability of a Variation Epidemic Spreading Model on Complex Networks

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  • De-gang Xu
  • Xi-yang Xu
  • Chun-hua Yang
  • Wei-hua Gui

Abstract

Epidemic spreading on networks becomes a hot issue of nonlinear systems, which has attracted many researchers’ attention in recent years. A novel epidemic spreading model with variant factors in complex networks is proposed and investigated in this paper. One main feature of this model is that virus variation is investigated in the process of epidemic dynamical spreading. The global dynamics of this model involving an endemic equilibrium and a disease-free equilibrium are, respectively, discussed. Some sufficient conditions are given for the existence of the endemic equilibrium. In addition, the global asymptotic stability problems of the disease-free equilibrium and the endemic equilibrium are also investigated by the Routh-Hurwitz stability criterion and Lyapunov stability criterion. And the uniform persistence condition of the new system is studied. Finally, numerical simulations are provided to illustrate obtained theoretical results.

Suggested Citation

  • De-gang Xu & Xi-yang Xu & Chun-hua Yang & Wei-hua Gui, 2015. "Global Stability of a Variation Epidemic Spreading Model on Complex Networks," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, December.
    • Handle: RePEc:hin:jnlmpe:365049
    DOI: 10.1155/2015/365049
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    Cited by:

    1. Svetozar Margenov & Nedyu Popivanov & Iva Ugrinova & Tsvetan Hristov, 2023. "Differential and Time-Discrete SEIRS Models with Vaccination: Local Stability, Validation and Sensitivity Analysis Using Bulgarian COVID-19 Data," Mathematics, MDPI, vol. 11(10), pages 1-26, May.

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