Work

Threshold Behavior of a Stochastic Svi Epidemic Model With Jump Noise and Saturated Incidence Rate

Year: 2025

Type: article

Abstract: This paper analyzes a stochastic SVI epidemic model with jump noise and saturated incidence rate. By applying Kunita's inequality, we derive the asymptotic pathwise estimation of the stochastic solution. We then present the basic reproduction number of the model, $ \bar{R_0^{s}} $, which determines the extinction and persistence in the mean of the disease. Additionally, numerical simulations are conducted to verify the theoretical results. Consequently, both theoretical and numerical results indicate that the jump noise can hold off the spread of the disease.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240455

Authors: Haoran Geng, 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, Government of Jiangsu Province, Natural Science Foundation of Jiangsu Province, Fundamental Research Funds for the Central Universities

Awards: G1661357555, G4009269522, G562978903