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Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation

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  • Xiaoming Fan
  • Zhigang Wang
  • Xuelian Xu

Abstract

We discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium. Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large. In addition, a sufficient stability condition is obtained by constructing suitable Lyapunov function.

Suggested Citation

  • Xiaoming Fan & Zhigang Wang & Xuelian Xu, 2012. "Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, March.
    • Handle: RePEc:hin:jnlaaa:132095
    DOI: 10.1155/2012/132095
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    Cited by:

    1. Guo, Ying & Zhao, Wei & Ding, Xiaohua, 2019. "Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 114-127.
    2. Wen, Buyu & Teng, Zhidong & Li, Zhiming, 2018. "The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 532-549.

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