Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay
This paper is concerned with a diffusive predator-prey system with Beddington-DeAngelis functional response and delay effect. By analyzing the distribution of the eigenvalues, the stability of the positive equilibrium and the existence of spatially homogeneous and spatially inhomogeneous periodic so...
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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/10.1155/2011/463721 |
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| Summary: | This paper is concerned with a diffusive predator-prey system with Beddington-DeAngelis
functional response and delay effect. By analyzing the distribution of the eigenvalues, the stability
of the positive equilibrium and the existence of spatially homogeneous and spatially inhomogeneous
periodic solutions are investigated. Also, it is shown that the small diffusion can affect the Hopf
bifurcations. Finally, the direction and stability of Hopf bifurcations are determined by normal form
theory and center manifold reduction for partial functional differential equations. |
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| ISSN: | 1085-3375 1687-0409 |