Work

Extinction and Stationary Distribution of a Heroin Epidemic Model With Lévy Jumps and Markov Switching

Year: 2025

Type: article

Abstract: This paper endeavors to construct and embark on a rigorous investigation of a heroin epidemic model, subject to influences from both Lévy jumps and regime-switching. The primary objective is to conduct an in-depth analysis of the dynamical behaviors of this complex system. Firstly, we establish sufficient conditions for both the persistence in the mean and the extinction of the heroin epidemic model. Subsequently, under some certain conditions, we demonstrate the existence of a unique stationary distribution for this system. Finally, some numerical examples and figures are presented to illustrate and validate the theoretical results in an intuitive manner.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250174

Authors: Kouling Li, Jinhai Guo, Yongchang Wei

Institutions: Yangtze University, National Natural Science Foundation of China

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: 有限维空间中二次不等式(组)相关问题及其应用研究