Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps
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 ext...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/978151 |
| Summary: | 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. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |