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Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks

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  • Jiawei Huo
  • Yimin Li
  • Jing Hua

Abstract

In this paper, an epidemic model with no full immunity is analyzed on semidirected networks. Directed networks led into previous scale-free networks, and we consider that some infectious diseases do not have full immunity. So we use strong self-protection instead of immunity and establish a semidirected network infectious disease model without full immunity. The basic reproduction number is calculated. If , the disease-free equilibrium is locally and globally asymptotically stable. And the endemic equilibrium is globally asymptotically stable in some condition. A large number of simulation results in this paper verify the correctness of the above conclusions and provide a solution for controlling disease transmission in the future.

Suggested Citation

  • Jiawei Huo & Yimin Li & Jing Hua, 2019. "Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, October.
    • Handle: RePEc:hin:jnlmpe:8792497
    DOI: 10.1155/2019/8792497
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