Discontinuous stochastic modeling and discrete numerical approximation for Tuberculosis model with relapse

Meryem Benazzouz, Tomás Caraballo, Mohamed El Fatini and Aziz Laaribi

Chaos, Solitons & Fractals, 2024, vol. 180, issue C

Abstract: The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we also show the extinction and persistence in mean of the disease by the use of Kunita’s inequality instead of Burkholder–Davis–Gundy inequality for continuous diffusions. The numerical behavior of the considered model is analyzed to understand the impact of environmental transmission on the spread of human and zonotic tuberculosis in Morocco.

Keywords: Epidemic model; Infinite activity; Relapse; Extinction; Persistence in mean; Kunita’s inequality (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924000821
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:180:y:2024:i:c:s0960077924000821

DOI: 10.1016/j.chaos.2024.114531

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().