The Stationary Distribution and Extinction of a Stochastic Five-Dimensional COVID-19 Model

Ehbal Memet, Xamxinur Abdurahman, Ahmadjan Muhammadhaji and Ahmed Ezzat Matouk

Discrete Dynamics in Nature and Society, 2024, vol. 2024, 1-20

Abstract: This paper investigates a stochastic SEIAIR epidemic model with nonlinear incidence and contacting distance to describe the transmission dynamics of COVID-19. Firstly, we show the global existence of positive solution of the system. Then, using the Lyapunov function method and theory of stochastic analysis, we set out the sufficient conditions of the existence and uniqueness of an ergodic stationary distribution to the stochastic model. Furthermore, we obtain the sufficient condition for extinction of the disease. Finally, we go through some numerical simulations to demonstrate the theoretical results. Our study extends and improves the results of previous studies.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ddns/2024/7073209.pdf (application/pdf)
http://downloads.hindawi.com/journals/ddns/2024/7073209.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7073209

DOI: 10.1155/2024/7073209

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().