Work

Dynamical analysis of SIR model with Gamma distribution delay driven by Lévy noise and switching

Year: 2025

Type: article

Abstract: Considering the distributed time delay and the stochastic change of environment, this research primarily studied the dynamical behavior of the gamma-distributed delay SIR model driven by Lévy noise and Markov chain. First, it is proved that there is a unique global positive solution for stochastic model. Second, by constructing appropriate stochastic Lyapunov functions that account for regime switching, we derive a sufficient condition, $ {R_s} > 1 $, indicating the existence of a stationary distribution. This suggests the disease will persist over a long period. Finally, numerical simulations confirm the theoretical findings.

Source: Electronic Research Archive

DOI: 10.3934/era.2025138

Authors: Jing Yang, Shaojuan Ma, Dongmei Wei

Institution: North Minzu University

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: gold

Estimated APC paid: $1,000

Funders: National Natural Science Foundation of China, Natural Science Foundation of Ningxia Province, North Minzu University