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Extinction and permanence in a stochastic non-autonomous population system

✍ Scribed by Meng Liu; Ke Wang


Book ID
104000963
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
238 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis


A stochastic non-autonomous predator-prey system with Holling II functional response is investigated. Sufficient criteria for extinction and uniform weak persistence in the mean for each species are established. The acute persistence-extinction thresholds for each species are obtained in many cases.


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The main purpose of this article is considering whether or not the feedback controls have an influence on a non-autonomous predator-prey Lotka-Volterra type system. General criteria on permanence are established, which is described by an integral form and independent of some feedback controls. By co