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Persistence and Global Stability in a Delayed Gause-Type Predator–Prey System without Dominating Instantaneous Negative Feedbacks

✍ Scribed by Rui Xu; M.A.J. Chaplain

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 103 KB
Volume: 265
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7701

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✦ Synopsis

A delayed Gause-type predator᎐prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the local and global asymptotic stability of the positive equilibrium of the system.

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