Paper Info
Title
Analysis of a stochastic population model with mean-reverting Ornstein-Uhlenbeck process and Allee effects
Abstract
Considering the survival regulation mechanisms of many groups of animals and the complexity of random variations in ecosystem, in this paper, we mainly formulate and study a stochastic non-autonomous population model with Allee effects and two mean reverting Ornstein-Uhlenbeck processes. First, the biological implication of introducing the Ornstein-Uhlenbeck process is illustrated. After that, we give the existence and moment estimate of a global solution of the stochastic model. Then the sufficient criteria for exponential extinction and the existence of a stationary distribution of the stochastic model are established. Moreover, there are some challenges to give the explicit expression of probability density function of the stationary distribution. By solving the relevant Fokker-Planck equation, we derive the approximate expression of the density function of the stochastic model. Finally, some numerical simulations are provided to verify our analytical results and study the impact of stochastic noises on population dynamics. (C) 2022 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.cnsns.2022.106450
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Keywords
DocType
Volume
Allee effect, Ornstein-Uhlenbeck process, Exponential extinction, Stationary distribution, Fokker-Planck equation, Density function
Journal
111
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Baoquan Zhou101.35
Daqing Jiang217643.11
T. Hayat313350.23