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A Necessary and Sufficient Condition for Permanence of a Lotka–Volterra Discrete System with Delays

✍ Scribed by Yasuhisa Saito; Wanbiao Ma; Tadayuki Hara

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we consider the permanence of the following Lotka᎐Volterra Ž . Ž . Ä w discrete competition system with delays k , k , l , and l :

.x4 l . We show the system is permanent for all nonnegative integers k , k , l , and 2 1 2 1 l , if and only if -1 and -1 hold. ᮊ 2001 Academic Press 2 1 2

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