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Abstract and Applied Analysis
Volume 2014, Article ID 634871, 8 pages
http://dx.doi.org/10.1155/2014/634871
Research Article

Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments

School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China

Received 1 March 2014; Revised 30 April 2014; Accepted 4 May 2014; Published 25 May 2014

Academic Editor: Rehana Naz

Copyright © 2014 Meiling Deng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the world today, with the rapid development of modern agriculture and industry, a large quantity of pollutants enter into ecosystems one by one, which is a threat to the persistence of the exposed populations. This paper investigates a stochastic delayed competitive system with impulsive toxicant input in a polluted environment. Under a simple condition, sufficient and necessary conditions for stability in the mean and extinction of each species are established. Some recent works are improved and extended greatly. Some numerical simulations are also included to illustrate and support the findings.