GLOBAL DYNAMICS OF AN AUTOCATALYTIC REACTION-DIFFUSION SYSTEM WITH FUNCTIONAL RESPONSE | Zendy

Yuncheng You | Zendy

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GLOBAL DYNAMICS OF AN AUTOCATALYTIC REACTION-DIFFUSION SYSTEM WITH FUNCTIONAL RESPONSE

Author(s) -

Yuncheng You

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011008

Subject(s) - autocatalysis , functional response , attractor , reaction–diffusion system , mathematics , autocatalytic reaction , phase space , curse of dimensionality , diffusion , mathematical analysis , statistical physics , physics , classical mechanics , thermodynamics , kinetics , paleontology , statistics , predation , biology , predator

In this work the existence, regularity, and finite fractal dimensionality of a global attractor in the \(L^2\) phase space for the weak solution semiflow of an autocatalytic reaction-diffusion system with a functional response of the Holling type II are proved.

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