Extinction in two-species nonlinear discrete competitive system
type: Item
instance of: scholarly article
title: Extinction in two-species nonlinear discrete competitive system
zbMATH Open document ID: 1417.92147
DOI: 10.1155/2016/2806405
author: Liqiong Pu
author: Xiangdong Xie
author: Fengde Chen
author: Zhanshuai Miao
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7025657
Wikidata QID: Q59123426
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2806405
OpenAlex ID: W2337540285
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description: scientific article; zbMATH DE number 7025657