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

Feng Wang, Shan Wang and Youhua Peng

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-12

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9367879

DOI: 10.1155/2020/9367879

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