@article{Hu2024, 
author = {Ruyue Hu and Chi Han and Yifan Wu and Xiaohui Ai},
title = {Analysis of a stochastic Leslie-Gower three-species food chain system with Holling-II functional response and Ornstein-Uhlenbeck process},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {18910-18928},
keywords = {Leslie-Gower model, Holling-II functional response, Ornstein-Uhlenbeck process, stationary distribution, extinction},
url = {https://www.sciopen.com/article/10.3934/math.2024920},
doi = {10.3934/math.2024920},
abstract = {This paper studies a stochastic Leslie-Gower model with a Holling-II functional response that is driven by the Ornstein-Uhlenbeck process. 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 given; the ultimate boundedness of the model is proven; by constructing the Lyapunov function and applying Ito's formula, the existence of the stationary distribution of the model is demonstrated; and the conditions for system extinction are discussed. Finally, numerical simulations are used to validate our conclusion.}
}