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2014 Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System
Shengliang Guo, Zhijun Liu, Huili Xiang
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/963712

Abstract

A stochastic competitive system is investigated. We first show that the positive solution of the above system does not explode to infinity in a finite time, and the existence and uniqueness of positive solution are discussed. Later, sufficient conditions for the stochastically ultimate boundedness of positive solution are derived. Also, with the help of Lyapunov function, sufficient conditions for the global attraction of positive solution are established. Finally, numerical simulations are presented to justify our theoretical results.

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Shengliang Guo. Zhijun Liu. Huili Xiang. "Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/963712

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07132022
MathSciNet: MR3259222
Digital Object Identifier: 10.1155/2014/963712

Rights: Copyright © 2014 Hindawi

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