Stochastic Lotka-Volterra Systems under Regime Switching with Jumps

被引：4

作者：

Wu, Ruihua ^{[1
,2
]}

Zou, Xiaoling ^{[1
]}

Wang, Ke ^{[1
]}

Liu, Meng ^{[3
]}

机构：

[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China

[2] China Univ Petr East China, Coll Sci, Qingdao 266555, Peoples R China

[3] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

FILOMAT | 2014年 / 28卷 / 09期

关键词：

Lotka-Volterra system; Jumps; Markovian switching; Stochastic persistence; Extinction; POPULATION-DYNAMICS; DIFFERENTIAL-EQUATIONS; STABILITY; PERSISTENCE; MODELS; ENVIRONMENT; EXTINCTION; BEHAVIOR; NOISE;

D O I：

10.2298/FIL1409907W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stochastic Lotka-Volterra model with Markovian switching driven by jumps is proposed and investigated. In the model, the white noise, color noise and jumping noise are taken into account at the same time. This model is more feasible and applicable. Firstly, sufficient conditions for stochastic permanence and extinction are presented. Then the moment average in time and the asymptotic pathwise properties are estimated. Our results show that these properties have close relations with the jumps and the stationary probability distribution of the Markov chain. Finally, several numerical simulations are provided to illustrate the effectiveness of the results.

引用

页码：1907 / 1928

页数：22

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