Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-(n+1) Functional Response
This paper discusses a predator-prey system with Holling-(n+1) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneous Neumann boundary condition. The existence and nonexistence results concerning nonconstant positive steady states of the system wer...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/851028 |
| Summary: | This paper discusses a predator-prey system with Holling-(n+1) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneous
Neumann boundary condition. The existence and nonexistence results concerning nonconstant
positive steady states of the system were obtained. In particular, we prove that the positive constant solution (u~,v~) is asymptotically stable when the parameter k satisfies some conditions. |
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| ISSN: | 1110-757X 1687-0042 |