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The Necessary and Sufficient Condition for Global Stability of a Lotka–Volterra Cooperative or Competition System with Delays

✍ Scribed by Yasuhisa Saito

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 334 KB
Volume: 268
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7801

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✦ Synopsis

This paper presents the necessary and sufficient condition for the global stability of the following Lotka-Volterra cooperative or competition system with time delays:

It is showed that the positive equilibrium of the system is globally asymptotically stable for all delays τ ij ≥ 0 i j = 1 2 if and only if β < a -α and β ≤ a + α hold.  2002 Elsevier Science (USA)

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