Remarks on stochastic permanence of population models

被引：10

作者：

Lv, Jingliang ^{[1
]}

Wang, Ke ^{[1
,2
]}

Zou, Xiaoling ^{[1
]}

机构：

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

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Lotka-Volterra; Stochastic permanence; Chebyshev inequality; Almost sure stochastic permanence; LOTKA-VOLTERRA MODEL; RANDOM PERTURBATION; EXTINCTION; DYNAMICS; ENVIRONMENTS; BEHAVIOR;

D O I：

10.1016/j.jmaa.2013.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper examines the asymptotic behavior of the stochastic Lotka-Volterra model under Markovian switching. We show that the stochastic Lotka-Volterra model is stothastically permanent. Moreover, we give another type of stochastic permanence, and consider the relationship of two types of stochastic permanence under white noise perturbation. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：561 / 571

页数：11

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