JOURNAL ARTICLE

RETRACTED: Stochastic optimal analysis for the hepatitis B epidemic model with Markovian switching.

  • Published In: Mathematical Methods in the Applied Sciences, 2026, v. 49, n. 1. P. e1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Din, Anwarud; Li, Yongjin 3 of 3

Abstract

A new stochastic epidemic model is introduced, explaining the dynamics of hepatitis B with the inclusion of white noise, Markovian switching, and vaccination control. In this research, we prove the existence of a unique global positive solution for the model. We also formulated an appropriate "stochastic Lyapunov" operator and used the "Khasminskii" approach to prove that the model has unique stationary distribution. The extinction of the model is also investigated. We study an optimal control problem for the stochastic model. Finally, the numerical experiments are presented to illustrate the obtained results. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2026/01, Vol. 49, Issue 1, pe1
  • Document Type:Article
  • Subject Area:Consumer Health
  • Publication Date:2026
  • ISSN:0170-4214
  • DOI:10.1002/mma.8218
  • Accession Number:190212028
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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