Work

Permanence and stationary distribution of a stochastic competition system with saturation effect

Year: 2025

Type: article

Abstract: In this paper, the dynamical behaviors of a stochastic competition system with a saturation effect are analyzed. The existence and uniqueness of globally positive solution are proved in detail, and the sufficient conditions for stochastic permanence, strong persistence in the mean, weak persistence, and extinction are obtained respectively. Then the existence and uniqueness of stationary distribution are also obtained under some appropriate assumptions. Finally, several numerical simulations are provided to justify the analytical results.

Source: Open Journal of Mathematical Analysis

DOI: 10.30538/psrp-oma2025.0174

Author: Shengliang Guo

Institution: Chongqing Technology and Business 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: diamond

Funders: Chongqing Technology and Business University, Chongqing Municipal Education Commission

Awards: G7853978769, G900803734