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Global stability of Gause-type predator-prey systems

✍ Scribed by Y. Kuang

Publisher
Springer
Year
1990
Tongue
English
Weight
555 KB
Volume
28
Category
Article
ISSN
0303-6812

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✦ Synopsis

In this paper, we present some global stability results obtained from comparison analysis, Bendixson-Dulac criterion or limit cycle stability analysis for the general Gause-type predator-type systems.

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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