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Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations

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  • Feng Wang
  • Shan Wang
  • Youhua Peng

Abstract

In this paper, the asymptotic behavior of a multigroup SEIR model with stochastic perturbations and nonlinear incidence rate functions is studied. First, the existence and uniqueness of the solution to the model we discuss are given. Then, the global asymptotical stability in probability of the model with is established by constructing Lyapunov functions. Next, we prove that the disease can die out exponentially under certain stochastic perturbation while it is persistent in the deterministic case when . Finally, several examples and numerical simulations are provided to illustrate the dynamic behavior of the model and verify our analytical results.

Suggested Citation

  • Feng Wang & Shan Wang & Youhua Peng, 2020. "Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, May.
    • Handle: RePEc:hin:jnddns:9367879
    DOI: 10.1155/2020/9367879
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    Cited by:

    1. Jing Zhang & Tong Jin, 2024. "A Stochastic Semi-Parametric SEIR Model with Infectivity in an Incubation Period," Mathematics, MDPI, vol. 12(10), pages 1-14, May.

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