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Asymptotic properties of a stochastic predator–prey system with Holling II functional response

✍ Scribed by Jingliang Lv; Ke Wang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
387 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

A stochastic predator-prey system with Holling II functional response is proposed and investigated. We show that there is a unique positive solution to the model for any positive initial value. And we show that the positive solution to the stochastic system is stochastically bounded. Moreover, under some conditions, we conclude that the stochastic model is stochastically permanent and persistent in mean.

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