Analysis of a non-autonomous mutualismmodel driven by  Levy jumps

Mei  Li; Hongjun Gao; Bingjun  Wang

doi:10.3934/dcdsb.2016.21.1189

Article Contents

2016, Volume 21, Issue 4: 1189-1202. Doi: 10.3934/dcdsb.2016.21.1189

This issue Previous Article Anisotropy in wavelet-based phase field models Next Article A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations

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

1.
Institute of mathematics, Nanjing Normal University, Nanjing 210023
2.
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023

Received: July 2015

Revised: November 2015

Published: June 2016

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Abstract

This article is concerned with a mutualism ecological model with Lévy 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 conditions for the system to be persistence in mean are also established.

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Mathematics Subject Classification: Primary: 34K50, 60H10; Secondary: 92B05.

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