Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps

Yanchao Zang, Junping Li and Jiangang Liu

Abstract and Applied Analysis, 2013, vol. 2013, 1-12

Abstract:

The nonautonomous stochastic Gilpin-Ayala competition model driven by Lévy noise is considered. First, it is shown that this model has a global positive solution. Then, we discuss the asymptotic behavior of the solution including moment and pathwise estimation. Finally, sufficient conditions for extinction, nonpersistence in the mean, and weak persistence of the solution are established.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:978151

DOI: 10.1155/2013/978151

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