The threshold of stochastic Gilpin-Ayala model subject to general Levy jumps

被引：2

作者：

Lu, Chun ^{[1
]}

Chen, Lijuan ^{[1
]}

Wang, Yumin ^{[1
]}

Gao, Shan ^{[2
]}

机构：

[1] Qingdao Univ Technol, Dept Math, Qingdao 266520, Shandong, Peoples R China

[2] Qingdao Tech Coll, Dept Mechinery & Elect, Qingdao 266555, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 60卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Brownian motion; General Levy jumps; Persistence; Stability; DELAY-DIFFERENTIAL EQUATIONS; ASYMPTOTIC STABILITY; LOGISTIC MODEL; PERSISTENCE; SYSTEM; DYNAMICS; BEHAVIOR;

D O I：

10.1007/s12190-018-01234-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates a stochastic Gilpin-Ayala model with general Levy jumps and stochastic perturbation to around the positive equilibrium of corresponding deterministic model. Sufficient conditions for extinction are established as well as nonpersistence in the mean, weak persistence and stochastic permanence. The threshold between weak persistence and extinction is obtained. Asymptotic behavior around the positive equilibrium of corresponding deterministic model is discussed. Our results imply the general Levy jumps is propitious to population survival when its intensity is more than 0, and some changes profoundly if not. Numerical simulink graphics are introduced to support the analytical findings.

引用

页码：731 / 747

页数：17

共 37 条

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