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- Title
Analysis of a stochastic Leslie-Gower predator-prey system with Beddington-DeAngelis and Ornstein–Uhlenbeck process.
- Authors
Wu, Yifan; Ai, Xiaohui
- Abstract
In this paper, a stochastic Leslie-Gower model with Beddington-DeAngelis functional response driven by the Ornstein-Uhlenbeck process is studied. Some asymptotic properties of the solution of the stochastic Leslie-Gower model are introduced: the existence and uniqueness of the global solution of the model are demonstrated, the ultimate boundedness of the model is analyzed, the existence of the stationary distribution of the model is proven, and the conditions for system extinction are discussed. Finally, numerical simulations are utilized to verify our conclusions.
- Subjects
ORNSTEIN-Uhlenbeck process; STATIONARY processes; MATHEMATICAL models; COMPUTER simulation; MATHEMATICS
- Publication
Electronic Research Archive, 2024, Vol 32, Issue 1, p1
- ISSN
2688-1594
- Publication type
Article
- DOI
10.3934/era.2024018