Qualitative analysis on a predator-prey model with Ivlev functional response

被引：0
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作者：
Gaihui Guo
Bingfang Li
Xiaolin Lin
机构：
[1] College of Science,Department of Basic Course
[2] Shaanxi University of Science and Technology,undefined
[3] Shaanxi Railway Institute,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
predator-prey model; Ivlev functional response; bifurcation; uniqueness;
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摘要：
The diffusive predator-prey model with Ivlev functional response is considered under homogeneous Dirichlet boundary conditions. Firstly, we investigate the bifurcation of positive solutions and derive the multiplicity result for γ suitably large. Furthermore, a range of parameters for the uniqueness of positive solutions is described in one dimension. The method we used is based on a comparison principle, Leray-Schauder degree theory, global bifurcation theory and generalized maximum principle.
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