Positive Solutions for a General Gause-Type Predator-Prey Model with Monotonic Functional Response
We study a general Gause-type predator-prey model with monotonic functional response under Dirichlet boundary condition. Necessary and sufficient conditions for the existence and nonexistence of positive solutions for this system are obtained by means of the fixed point index theory. In addition, th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/547060 |
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| Summary: | We study a general Gause-type predator-prey model with
monotonic functional response under Dirichlet boundary condition. Necessary and
sufficient conditions for the existence and nonexistence of positive solutions for this
system are obtained by means of the fixed point index theory. In addition, the local
and global bifurcations from a semitrivial state are also investigated on the basis of
bifurcation theory. The results indicate diffusion, and functional response does help
to create stationary pattern. |
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| ISSN: | 1085-3375 1687-0409 |