Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations
Joint Authors
Wang, Feng
Wang, Shan
Peng, Youhua
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 R0<1 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 R0>1.
Finally, several examples and numerical simulations are provided to illustrate the dynamic behavior of the model and verify our analytical results.
American Psychological Association (APA)
Wang, Feng& Wang, Shan& Peng, Youhua. 2020. Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153619
Modern Language Association (MLA)
Wang, Feng…[et al.]. Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153619
American Medical Association (AMA)
Wang, Feng& Wang, Shan& Peng, Youhua. Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153619
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153619