Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems

We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions ("albedo" b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the unifo...

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Publicado: 1997
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v237_n1-2_p135_Izus
http://hdl.handle.net/20.500.12110/paper_03784371_v237_n1-2_p135_Izus
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Sumario:We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions ("albedo" b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries.