An effective transport-related SVIR stochastic epidemic model with media coverage and Lévy noise

Abdulwasea Alkhazzan, Jungang Wang, Yufeng Nie, Hasib Khan and Jehad Alzabut

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

Abstract: Effective disease control measures are necessary because epidemics have a serious threat to public health. To address this, we propose a novel SVIR epidemic model that highlights the impact of transport-related infection and media coverage, with the inclusion of Lévy noise. With the help of Lyapunov functions and stopping time, we investigate the existence of a positive global solution for the new model. We also derive sufficient conditions for disease extinction as well as persistence. For the validation of our theoretical findings, we develop a numerical scheme to analyze the influence of various parameters on the model’s dynamics. Our findings provide important insight into the science of epidemiology and provide a groundwork for better methods of preventing the spread of disease.

Keywords: Stochastic SVIR epidemic model; Transport-related infection; Media coverage; Lévy noise; Extinction; Persistence (search for similar items in EconPapers)
Date: 2023
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/S0960077923008548
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:175:y:2023:i:p1:s0960077923008548

DOI: 10.1016/j.chaos.2023.113953

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. ().