Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching

被引：0
|
作者：
He, Xiuli [1 ]
Liu, Lei [1 ,2 ]
Zhu, Quanxin [3 ,4 ]
机构：
[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[4] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
Lotka-Volterra model; random environments; Brownian motions; Ito formula; persistence in mean; extinction; LOTKA-VOLTERRA SYSTEMS; ASYMPTOTIC PROPERTIES; POPULATION-DYNAMICS; RANDOM PERTURBATION; MODEL; STABILITY; BEHAVIOR; JUMPS;
D O I：
10.1186/s13662-017-1440-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are interested in the persistence in mean and extinction for a stochastic competitive Gilpin-Ayala system with regime switching. Based on the stochastic LaSalle theorem and the space-decomposition method, we derive generalized sufficient criteria on persistence in mean and extinction. By constructing a novel Lyapunov function we establish sufficient criteria on partial persistence in mean and partial extinction for the system. Finally, we provide two examples to demonstrate the feasibility and validity of our proposed methods.
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页数：23
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