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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1016/0163-7258(84)90030-5

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1572-9036

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Qualitative Analysis of a PredatorPrey Model with

Authors: Shanbing Li Jianhua Wu
Publish Date: 2015/02/10
Volume: 141, Issue: 1, Pages: 165-185
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Abstract

In this paper we consider positive solutions of a predatorprey model with predator saturation and competition under Dirichlet boundary conditions First we establish the existence of positive solutions to the system mainly using the fixed point index theory in cone Second the uniqueness of positive solution is obtained under certain conditions We show that there is a unique and asymptotically stable positive solution for c∈εc ∗a when β goes to ∞ or b goes to 0 Finally we discuss the extinction and persistence results of timedependent positive solutions to the system

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  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
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  10. Variational Approach to the Inviscid Compressible Fluid
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