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Asymptotic Behavior of a Competition-Diffusion System with Variable Coefficients and Time Delays
Author(s) -
Miguel Uh Zapata,
Eric Ávila-Vales,
Ángel G. Estrella
Publication year - 2008
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2008/537284
Subject(s) - variable (mathematics) , attractor , diffusion , mathematics , reaction–diffusion system , competition (biology) , class (philosophy) , variables , statistical physics , mathematical analysis , statistics , computer science , physics , thermodynamics , ecology , artificial intelligence , biology
A class of time-delay reaction-diffusion systems with variable coefficients which arise from the model of two competing ecological species is discussed. An asymptotic global attractor is established in terms of the variable coefficients, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method

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