✦ LIBER ✦

Permanence criteria for general delayed discrete nonautonomous -species Kolmogorov systems and its applications

✍ Scribed by Zhidong Teng; Yu Zhang; Shujing Gao

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 969 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.10.011

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✦ Synopsis

In this paper, the permanence for the general nonautonomous n-species discrete Kolmogorov systems with delays is studied. By using the method of multiple discrete Lyapunov-like functionals, a quite general sufficient condition is established. As application of this result, new sufficient conditions are obtained to ensure the permanence of all species for the discrete nonautonomous pure-delayed n-species Lotka-Volterra competitive systems and food chain systems. Particularly, as special cases, a series of new sufficient conditions on the permanence for the discrete nonautonomous pure-delayed Lotka-Volterra two-species competitive systems, predator-prey systems and three-species food chain systems, and the discrete autonomous pure-delayed Lotka-Volterra competition systems and food chain systems are obtained.

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