Work

Dynamic analysis of a stochastic regime-switching Lotka–Volterra competitive system with distributed delays and Ornstein–Uhlenbeck process

Year: 2024

Type: article

Abstract: In this paper, we construct and analyze a stochastic regime-switching Lotka–Volterra competitive system with distributed delays and Ornstein–Uhlenbeck process. By the linear chain technique, we transform the stochastic model with weak kernel into an equivalent degenerate system. Firstly, we prove the existence and uniqueness of the global positive solution to the system. Then, we get the result of extinction and persistence in the mean of the x 1 and x 2 respectively. In addition, the sufficient conditions for the existence of the stationary distribution to the system are established by constructing some suitable Lyapunov functions. Finally, we provide some numerical examples to illustrate theoretical results, and some conclusions and analysis are given.

Source: Chaos Solitons & Fractals

DOI: 10.1016/j.chaos.2024.115765

Authors: Chenfei Ma, Xiaofeng Zhang, Rong Yuan

Institution: Beijing Normal 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: hybrid

Estimated APC paid: $3,500

Funder: National Natural Science Foundation of China