On spatiotemporal patternformation in a diffusive bimolecular model

Rui Peng; Fengqi Yi

doi:10.3934/dcdsb.2011.15.217

Article Contents

2011, Volume 15, Issue 1: 217-230. Doi: 10.3934/dcdsb.2011.15.217

This issue Previous Article Approximate tracking of periodic references in a class of bilinear systems via stable inversion Next Article On a class of three dimensional Navier-Stokes equations with bounded delay

On spatiotemporal pattern formation in a diffusive bimolecular model

Rui Peng^1, and
Fengqi Yi^2,

1.
Institute of Nonlinear Complex Systems, College of Science, China Three Gorges University, Yichang, 443002, Hubei
2.
Department of Mathematics, Harbin Engineering University, Harbin, 150001

Received: November 30, 2009

Revised: March 31, 2010

Published: June 2011

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Abstract

This paper continues the analysis on a bimolecular autocatalytic reaction-diffusion model with saturation law. An improved result of steady state bifurcation is derived and the effect of various parameters on spatiotemporal patterns is discussed. Our analysis provides a better understanding on the rich spatiotemporal patterns. Some numerical simulations are performed to support the theoretical conclusions.

Keywords:

Mathematics Subject Classification: Primary: 3532, 35J55, 35K57, 92C15; Secondary: 92C40.

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