JOURNAL ARTICLE

The effect of sudden fluctuations on a treated Hepatitis C model.

  • Published In: International Journal of Biomathematics, 2026, v. 19, n. 4. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Bertoune, Ayoub; Fatini, Mohamed El; Nasri, Bouchra R.; Sekkak, Idriss 3 of 3

Abstract

In this paper, we consider a Hepatitis C model characterized by acute and chronic infections, treatment as a health-protective measure for the chronically infected is proposed, and its effect on the population is further highlighted. The model is perturbed by white noise and we incorporate Lévy jumps as means to depict abrupt fluctuations. We demonstrate the solution's existence and uniqueness and deduce adequate criteria for the disease's extinction and persistence. The importance of treatment as a protective strategy is manifested in its ability to eradicate or mitigate the propagation of the disease. We present numerical simulations to demonstrate the theoretical findings we have obtained. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Biomathematics. 2026/05, Vol. 19, Issue 4, p1
  • Document Type:Article
  • Subject Area:Consumer Health
  • Publication Date:2026
  • ISSN:1793-5245
  • DOI:10.1142/S1793524524500785
  • Accession Number:193502882
  • Copyright Statement:Copyright of International Journal of Biomathematics is the property of World Scientific Publishing Company 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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