JOURNAL ARTICLE

Extinction, Ultimate Boundedness, and Persistence in the Mean of a Stochastic Heroin Epidemic Model With Distributed Delay.

  • Published In: Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 6. P. 6592 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Zhang, Xiaofeng 3 of 3

Abstract

In this paper, we consider a stochastic heroin epidemic model with distributed delay. We analyze the model in detail: We prove the existence and uniqueness of the global positive solution of the system, the asymptotic behavior around the equilibrium point E0$$ {E}_0 $$ of the deterministic system, the stochastically ultimate boundedness, and the persistence in the mean of the disease. Finally, we verify the main conclusions of this paper through numerical simulation and explore the influence of system parameters on the persistence and extinction of diseases. According to the numerical simulation results, we can give some suggestions on controlling diseases. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2025/04, Vol. 48, Issue 6, p6592
  • Document Type:Article
  • Subject Area:Health and Medicine
  • Publication Date:2025
  • ISSN:0170-4214
  • DOI:10.1002/mma.10698
  • Accession Number:183691231
  • 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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