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COEXISTENCE IN THE COMPETITION MODEL WITH DIFFUSION

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UNSPECIFIED (1994) COEXISTENCE IN THE COMPETITION MODEL WITH DIFFUSION. JOURNAL OF DIFFERENTIAL EQUATIONS, 107 (1). pp. 96-139. ISSN 0022-0396

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Abstract

In this paper we study positive steady-state solutions of a reaction-diffusion model, the Lotka-Volterra competition system, under homogeneous Dirichlet boundary conditions. We extend previous results on existence and nonuniqueness of coexistence solutions to larger areas of parameter space. The techniques we use are multiparameter bifurcation theory, variational inequalities, and elliptic theory. (C) 1994 Academic Press Inc.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: JOURNAL OF DIFFERENTIAL EQUATIONS
Publisher: ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
ISSN: 0022-0396
Date: January 1994
Volume: 107
Number: 1
Number of Pages: 44
Page Range: pp. 96-139
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/20799

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