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1995 On the fixed point index and multiple steady-state solutions of reaction-diffusion systems
Wei Feng, Weihua Ruan
Differential Integral Equations 8(2): 371-391 (1995).

Abstract

This paper is concerned with the fixed point index of a compact operator and its application to the study of multiple steady-state solutions of nonlinear reaction-diffusion systems. The method is simplified under the condition that the Banach space $X$ can be decomposed as $X=Y\oplus S_\varphi$, which is frequently satisfied by various reaction-diffusion models. A new method for proving the existence of positive steady-state solutions is developed by using this simplified method to semiflows. The result is applied to a three-species ecological model for which some sufficient conditions for the existence of positive steady-state solutions are obtained.

Citation

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Wei Feng. Weihua Ruan. "On the fixed point index and multiple steady-state solutions of reaction-diffusion systems." Differential Integral Equations 8 (2) 371 - 391, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0815.35017
MathSciNet: MR1296130

Subjects:
Primary: 35K57
Secondary: 47H11, 47N20

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 2 • 1995
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