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Dynamics of Nonautonomous Stochastic Gilpin‐Ayala Competition Model with Jumps

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  • Yanchao Zang
  • Junping Li
  • Jiangang Liu

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.

Suggested Citation

  • Yanchao Zang & Junping Li & Jiangang Liu, 2013. "Dynamics of Nonautonomous Stochastic Gilpin‐Ayala Competition Model with Jumps," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:978151
    DOI: 10.1155/2013/978151
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    References listed on IDEAS

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    1. Liu, Meng & Wang, Ke, 2009. "Survival analysis of stochastic single-species population models in polluted environments," Ecological Modelling, Elsevier, vol. 220(9), pages 1347-1357.
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