Work

Stationary distribution of a stochastic generalized SIRI epidemic model with reinfection and relapse

Year: 2024

Type: article

Abstract: In this paper, we propose and investigate the stochastic SIRI epidemic model with two generalized incidence rate functions. We firstly study the existence and uniqueness of the globally positive solution to the stochastic SIRI model with positive initial value. Then we obtain sufficient conditions for the extinction of the disease in the stochastic epidemic model, and find that the large noise can make the disease die out exponentially. Meanwhile, we obtain that the solution to the stochastic model has a unique stationary distribution when R 0 s ˜ is greater than one. Our results show that the intensity of white noise can affect the dynamical behaviors of the model. Finally, we use numerical simulation to illustrate theoretical results, and apply both the stochastic and deterministic models to analyze the outbreak of COVID-19 epidemic in Serbia.

Source: Statistics & Probability Letters

DOI: 10.1016/j.spl.2024.110279

Authors: Kai Wang, Hongjie Fan, Yanling Zhu

Institutions: Anhui University of Finance and Economics, Beijing Technology and Business University, Shangdong Agriculture and Engineering University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $3,010