PERSISTENCE AND STATIONARY DISTRIBUTION OF A STOCHASTIC PREDATOR-PREY MODEL UNDER REGIME SWITCHING

被引：2
作者：
Zu, Li [1 ]
Jiang, Daqing [2 ,3 ]
O'Regan, Donal [4 ]
机构：
[1] Hainan Normal Univ, Coll Math & Stat, Hainan 571158, Peoples R China
[2] China Univ Petr East China, Sch Sci, Qingdao 266580, Peoples R China
[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 05期
关键词：
Stochastic predator-prey model; threshold; Markov switching; stationary distribution; extinction; ASYMPTOTIC PROPERTIES; LOGISTIC MODEL; SIMULATIONS; STABILITY; EXISTENCE; BEHAVIOR; SYSTEMS;
D O I：
10.3934/dcds.2017124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Taking both white noise and colored environment noise into account, a predator-prey model is proposed. In this paper, our main aim is to study the stationary distribution of the solution and obtain the threshold between persistence in mean and the extinction of the stochastic system with regime switching. Some simulation figures are presented to support the analytical findings.
引用
收藏
页码：2881 / 2897
页数：17
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