Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction

被引：0

作者：

Wu, Zheng ^{[1
]}

Huang, Hao ^{[1
]}

Wang, Lianglong ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

NONAUTONOMOUS LOGISTIC EQUATION; ASYMPTOTIC PROPERTIES; PERSISTENCE; PERMANENCE; STABILITY; MODEL;

D O I：

10.1155/2013/918569

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Ito formula, Gronwall inequality and Young's inequality, some sufficient conditions for existence of global positive solutions and stochastically ultimate boundedness are obtained, respectively. Finally, an example is given to illustrate the main results.

引用

页数：10

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