Stationary distribution and extinction of a hybrid stochastic vegetation model with Markov switching

被引：2
|
作者：
Han, Bingtao [1 ]
Jiang, Daqing [1 ,2 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 139卷
基金：
中国国家自然科学基金;
关键词：
Stochastic vegetation-water model; Hybrid noises; Stationary distribution; Extinction; ECOSYSTEM; STABILITY; THRESHOLD;
D O I：
10.1016/j.aml.2022.108549
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a hybrid stochastic vegetation-water model perturbed by white and colored noises is studied. First, we obtain the existence and uniqueness of stationary distribution of the model, which reflects the long-term persistence of vegetation. Then some sufficient conditions for the exponential extinction of vegetation are established. Finally, some numerical simulations are provided to verify our theoretical results.(c) 2022 Elsevier Ltd. All rights reserved.
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