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

Autor: Guichen Lu, Zhengyi Lu
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-14 (2017)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1202-6
Popis: 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 to infinity. This is somewhat similar to the May-Leonard behavior in the case of competition models.
Databáze: Directory of Open Access Journals