Extinction in Two-Species Nonlinear Discrete Competitive System

We propose a nonlinear discrete system of two species with the effect of toxic substances. By constructing a suitable Lyapunov-type function, we obtain the sufficient conditions which guarantee that one of the components will be driven to extinction while the other will be globally attractive with a...

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Bibliographic Details
Main Authors: Liqiong Pu, Xiangdong Xie, Fengde Chen, Zhanshuai Miao
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/2806405