Work

The Threshold of a Stochastic Sir Epidemic Model With Logistic Growth

Year: 2025

Type: article

Abstract: In this paper, we propose and study a stochastic SIR epidemic model with logistic growth. The threshold dynamics of the stochastic model are governed by a parameter $ R_0^S $. Precisely, the disease goes to extinction at an exponential rate and the distribution of susceptible individuals converges weakly to a unique invariant probability measure provided that $ R_0^S<1 $; whereas if $ R_0^S>1 $, we show that there is a unique ergodic stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. Numerical simulations are introduced to illustrate our theoretical results. The aim of the work is to investigate the impact of environmental noise on the transmission of infectious diseases.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250208

Authors: Zeyu Xu, Liang Wang, Daqing Jiang

Institutions: Nanjing University of Science and Technology, China University of Petroleum, East 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

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G4009269522, G562978903