Permanence and extinction of stochastic competitive Lotka-Volterra system with Levy noise

被引：2

作者：

Wei, Tengda ^{[1
]}

Wang, Sheng ^{[2
]}

Wang, Linshan ^{[3
]}

机构：

[1] Ocean Univ China, Coll Ocean & Atmospher Sci, Qingdao 266071, Shandong, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China

[3] Ocean Univ China, Sch Math, Qingdao 266071, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 57卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Stochastic permanence; Lotka-Volterra; Levy noise; DIFFERENTIAL-EQUATIONS; POPULATION-DYNAMICS; RANDOM PERTURBATION; PTH MOMENT; MODEL; STABILITY; JUMPS; DIFFUSION; BEHAVIOR; DELAYS;

D O I：

10.1007/s12190-017-1127-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper derives sufficient conditions for stochastic permanence and extinction of a stochastic non-autonomous competitive Lotka-Volterra system with Levy noise. For the autonomous case, the results show that stochastic permanence and extinction are characterized by two parameters B-1 and B-2: if B1B2 not equal 0, then the system is either stochastically permanent or extinctive. That is, it is extinctive if and only if B-1 < 0 and B-2 < 0; otherwise, it is stochastically permanent. Some existing results are included as special cases. An example and its simulations are given to support our theoretical results.

引用

页码：667 / 683

页数：17

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