On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system

In this paper, we consider a Leslie–Gower type diffusive predator–prey system. By using topological degree theory, bifurcation theory, energy estimates and asymptotic behavior analysis, we prove the existence, multiplicity, uniqueness and stability of positive steady states solutions under certain...

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Bibliographic Details
Main Author: Jun Zhou
Format: Article
Language:English
Published: Vilnius University Press 2014-10-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/13662