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2013 A Lotka-Volterra Competition Model with Cross-Diffusion
Wenyan Chen, Ya Chen
Abstr. Appl. Anal. 2013(SI08): 1-5 (2013). DOI: 10.1155/2013/624352


A Lotka-Volterra competition model with cross-diffusions under homogeneous Dirichlet boundary condition is considered, where cross-diffusions are included in such a way that the two species run away from each other because of the competition between them. Using the method of upper and lower solutions, sufficient conditions for the existence of positive solutions are provided when the cross-diffusions are sufficiently small. Furthermore, the investigation of nonexistence of positive solutions is also presented.


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Wenyan Chen. Ya Chen. "A Lotka-Volterra Competition Model with Cross-Diffusion." Abstr. Appl. Anal. 2013 (SI08) 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1276.92099
MathSciNet: MR3035235
Digital Object Identifier: 10.1155/2013/624352

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI08 • 2013
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