Title: The coexistence states for a predator-prey model with holling-type IV functional response
Abstract: This paper deals with a diffusive Leslie-Gower predator-prey system with Holling-type IV functional response and homogeneous Dirichlet boundary condition. We first give a priori estimate for positive steady states to the system. Then we obtain the existence and non-existence results of non-constant positive steady states. Finally, we investigate bifurcation and stability of the positive solutions to the predator-prey system are studied. It is shown that the system admits a non-constant positive steady states provided that the corresponding parameter is large.
Publication Year: 2019
Publication Date: 2019-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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