Non-permanence for three-species Lotka-Volterra cooperative difference systems

Abstract The permanence for three-species cooperative difference systems of Lotka-Volterra is considered. By constructing some suitable regions, we prove that a cooperative system cannot be permanent. Furthermore, we find the orbits starting from our regions approach the coordinate axes as n tends t...

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Bibliographic Details
Main Authors: Guichen Lu, Zhengyi Lu
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1202-6