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Persistence and Global Stability for a Delayed Nonautonomous Predator–Prey System without Dominating Instantaneous Negative Feedback

✍ Scribed by Rui Xu; Lansun Chen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
100 KB
Volume
262
Category
Article
ISSN
0022-247X

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✦ Synopsis

A delayed nonautonomous three-species predator-prey Lotka-Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the system.

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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 lo