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Dynamics of discrete epidemic models on heterogeneous networks

Author

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  • Wang, Xinhe
  • Lu, Junwei
  • Wang, Zhen
  • Li, Yuxia

Abstract

In this paper, one considers the discrete epidemic models on heterogeneous networks, stability and bifurcation of the endemic equilibrium of SIS model is studied, the dynamics analysis of SIRS model and the immunization are discussed. Compared with the epidemic model established by differential equations, the difference systems have the same stability conditions at the disease free equilibrium, and the dynamical behaviours of endemic equilibrium is more complex for discrete epidemic model. These obtained results can be used to explore the complex epidemic propagation dynamics on the networks.

Suggested Citation

  • Wang, Xinhe & Lu, Junwei & Wang, Zhen & Li, Yuxia, 2020. "Dynamics of discrete epidemic models on heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    • Handle: RePEc:eee:phsmap:v:539:y:2020:i:c:s0378437119316905
    DOI: 10.1016/j.physa.2019.122991
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    References listed on IDEAS

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    Cited by:

    1. Sorin Lugojan & Loredana Ciurdariu & Eugenia Grecu, 2022. "Chenciner Bifurcation Presenting a Further Degree of Degeneration," Mathematics, MDPI, vol. 10(9), pages 1-17, May.
    2. Manuel De la Sen & Santiago Alonso-Quesada & Asier Ibeas, 2021. "On a Discrete SEIR Epidemic Model with Exposed Infectivity, Feedback Vaccination and Partial Delayed Re-Susceptibility," Mathematics, MDPI, vol. 9(5), pages 1-32, March.
    3. Chang, Xin & Cai, Chao-Ran, 2021. "Analytical computation of the epidemic prevalence and threshold for the discrete-time susceptible–infected–susceptible dynamics on static networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    4. Xie, Yingkang & Wang, Zhen & Lu, Junwei & Li, Yuxia, 2020. "Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).

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