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April  2010, 26(2): 397-415. doi: 10.3934/dcds.2010.26.397

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, Italy
2. 

Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040-Madrid

Received  January 2009 Revised  June 2009 Published  October 2009

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].
Keywords: Cooperative systems, Dynamics., Positive steady-states.
Mathematics Subject Classification: Primary: 35K40, 35K50; Secondary: 35K57, 35K6.
Citation: Pablo Álvarez-Caudevilla, Julián López-Gómez. The dynamics of a class of cooperative systems. Discrete & Continuous Dynamical Systems - A, 2010, 26 (2) : 397-415. doi: 10.3934/dcds.2010.26.397
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