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Erschienen in:
2012 | OriginalPaper | Buchkapitel
The Uniqueness of Positive Solutions for a Predator-Prey Model with B-D Functional Response
verfasst von : Gaihui Guo, Bingfang Li
Erschienen in: Advances in Future Computer and Control Systems
Verlag: Springer Berlin Heidelberg
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In this paper, we investigate a diffusive predator-prey model with Beddington-DeAngelis functional response, which is subject to homogeneous Dirichlet boundary conditions. Based on the fixed point index theory, a good understanding of the existence, uniqueness and stability of positive solutions is obtained when
b
is sufficiently small. We always reduce the proof of uniqueness and stability to the proof of the fact that any possible positive solution is non-degenerate and linearly stable.