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

Yuncheng You

doi:10.11948/2011008

2011 Volume 1 Issue 1

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Yuncheng You. GLOBAL DYNAMICS OF AN AUTOCATALYTIC REACTION-DIFFUSION SYSTEM WITH FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2011, 1(1): 121-142. doi: 10.11948/2011008

Citation:

Yuncheng You. GLOBAL DYNAMICS OF AN AUTOCATALYTIC REACTION-DIFFUSION SYSTEM WITH FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2011, 1(1): 121-142. doi: 10.11948/2011008

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

Yuncheng You

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

Abstract

Abstract

In this work the existence, regularity, and flnite fractal dimensionality of a global attractor in the L² phase space for the weak solution semiflow of an autocatalytic reaction-difiusion system with a functional response of the Holling type Ⅱ are proved.
- Reaction-difiusion system /
- global dynamics /
- autocatalysis /
- functional response /
- global attractor
MSC: 37L30;35B40;35B41;35K55;80A32;92B05

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