Coexistence in the Competition Model with Diffusion

J C  EILBECK; J E  Furter; J  Lopezgomez

doi:10.1006/jdeq.1994.1005

Coexistence in the Competition Model with Diffusion

J C EILBECK, J E Furter, J Lopezgomez

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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.

Original language	English
Pages (from-to)	96-139
Number of pages	44
Journal	Journal of Differential Equations
Volume	107
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.1994.1005
Publication status	Published - Jan 1994

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10.1006/jdeq.1994.1005

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title = "Coexistence in the Competition Model with Diffusion",

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.",

author = "EILBECK, {J C} and Furter, {J E} and J Lopezgomez",

year = "1994",

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AB - 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.

U2 - 10.1006/jdeq.1994.1005

DO - 10.1006/jdeq.1994.1005

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VL - 107

SP - 96

EP - 139

JO - Journal of Differential Equations

JF - Journal of Differential Equations

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Coexistence in the Competition Model with Diffusion

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