Extinction in Two-Species Nonlinear Discrete Competitive SystemReport as inadecuate




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Discrete Dynamics in Nature and Society - Volume 2016 2016, Article ID 2806405, 10 pages -

Research Article

College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China

Department of Mathematics, Ningde Normal University, Ningde, Fujian 352300, China

Received 13 December 2015; Revised 24 March 2016; Accepted 27 March 2016

Academic Editor: Cengiz Çinar

Copyright © 2016 Liqiong Pu 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

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 any positive solution of a discrete equation. Two examples together with their numerical simulations illustrate the feasibility of our main results. The results not only improve but also complement some known results.





Author: Liqiong Pu, Xiangdong Xie, Fengde Chen, and Zhanshuai Miao

Source: https://www.hindawi.com/



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