Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching. (23rd May 2022)

• Record Type: Journal Article
• Authors: El Koufi, A.; Seshagiri Rao, N.
• Other Names: Zhang Tongqian Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-05-23
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/2347414
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, we consider a stochastic epidemic model under regime-switching. We show that our model is well-posed by proving the existence of solution, positivity, and uniqueness. Furthermore, we investigate sufficient conditions for the existence of ergodic stationary distribution to the model, which shows that the hepatitis B epidemic will persist. In addition, we establish sufficient conditions for the extinction of the hepatitis B epidemic. We perform numerical simulations to confirm and illustrate the theoretical results.