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Analysis of a non-autonomous mutualism model driven by Levy jumps

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arxiv 1507.06777 v1 pith:CIDYSU25 submitted 2015-07-24 math.AP

Mei Li , Hongjun Gao , Binjun Wang This is my paper · ORCID
classification math.AP
keywords levymodelmutualismpositivesolutionsystemanalysisarticle
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This article is concerned with a mutualism ecological model with Levy noise. The local existence and uniqueness of a positive solution are obtained with positive initial value, and the asymptotic behavior to the problem is studied. Moreover, we show that the solution is stochastically bounded and stochastic permanence. The sufficient conditions for the system to be extinct are given and the condition for the system to be persistent are also established.

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