The dynamics of a class of cooperative systems

Pablo Álvarez-Caudevilla; Julián López-Gómez

doi:10.3934/dcds.2010.26.397

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2010, Volume 26, Issue 2: 397-415. Doi: 10.3934/dcds.2010.26.397

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The dynamics of a class of cooperative systems

Pablo Álvarez-Caudevilla^1, and
Julián López-Gómez^2,

1.
Centro de Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore, Piazza dei Cavalieri 3, 56100-Pisa
2.
Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040-Madrid

Received: December 31, 2008

Revised: May 31, 2009

Published: June 2010

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Abstract

This paper characterizes the dynamics of the positive solutions of a class of sublinear parabolic cooperative systems whose analysis is imperative for ascertaining the dynamics of wider classes of sublinear cooperative and superlinear indefinite Reaction-Diffusion systems, like those introduced by López-Gómez and Molina-Meyer [15].

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Mathematics Subject Classification: Primary: 35K40, 35K50; Secondary: 35K57, 35K65.

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