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http://dx.doi.org/10.4134/BKMS.2004.41.2.371

UNIQUENESS OF POSITIVE STEADY STATES FOR WEAK COMPETITION MODELS WITH SELF-CROSS DIFFUSIONS

Ko, Won-Lyul (Department of Mathematics, Korea University)
Ahn, In-Kyung (Department of Mathematics, Korea University)

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.2, 2004 , pp. 371-385 More about this Journal

Abstract

In this paper, we investigate the uniqueness of positive solutions to weak competition models with self-cross diffusion rates under homogeneous Dirichlet boundary conditions. The methods employed are upper-lower solution technique and the variational characterization of eigenvalues.

Keywords

uniqueness of positive steady states; upper-lower solutions; weak competition model; self-cross diffusions;

Citations & Related Records

Reference

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