Existence of Positive Solutions of Lotka-Volterra Competition Model with Nonlinear Boundary Conditions

A Lotka-Volterra competition model with nonlinear boundary conditions is considered. First, by using upper and lower solutions method for nonlinear boundary problems, we investigate the existence of positive solutions in weak competition case. Next, we prove that -d1Δu=u(a1-b1u-c1v), x∈Ω; -d2Δv=v(a2...

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Bibliographic Details
Main Authors: Yang Zhang, Mingxin Wang, Yuwen Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/102180