Dynamical behavior of a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching

Jinxiang Zhan and Yongchang Wei

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: Motivated by the global impact of heroin addiction and the challenges associated with relapse rates among users, this paper investigates a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching. Precisely, we first verify that this system has a unique global positive solution. Then, we presents some criteria for the extinction and persistence in mean of heroin users with this stochastic framework. Additionally, we establish the existence of a unique ergodic stationary distribution of this system by means of Lyapunov inequality. Finally, numerical simulations not only reinforces the theoretical findings but also demonstrates the practical implications of this system in various scenarios.

Keywords: Heroin epidemic model; Distributed delay; Regime-switching; Persistence in mean; Stationary distribution (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924005769
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:184:y:2024:i:c:s0960077924005769

DOI: 10.1016/j.chaos.2024.115024

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. ().