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2012 Dynamic Properties of a Forest Fire Model
Na Min, Hongyang Zhang, Zhilin Qu
Abstr. Appl. Anal. 2012(SI01): 1-13 (2012). DOI: 10.1155/2012/948480

Abstract

The reaction-diffusion equations have been widely used in physics, chemistry, and other areas. Forest fire can also be described by such equations. We here propose a fighting forest fire model. By using the normal form approach theory and center manifold theory, we analyze the stability of the trivial solution and Hopf bifurcation of this model. Finally, we give the numerical simulations to illustrate the effectiveness of our results.

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Na Min. Hongyang Zhang. Zhilin Qu. "Dynamic Properties of a Forest Fire Model." Abstr. Appl. Anal. 2012 (SI01) 1 - 13, 2012. https://doi.org/10.1155/2012/948480

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1258.35022
MathSciNet: MR2991012
Digital Object Identifier: 10.1155/2012/948480

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI01 • 2012
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