Dynamic properties of a forest fire model
type: Item
instance of: scholarly article
title: Dynamic properties of a forest fire model
zbMATH Open document ID: 1258.35022
DOI: 10.1155/2012/948480
author: Na Min
author: Hongyang Zhang
author: Zhilin Qu
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 37L10
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 6116478
zbMATH Keywords: normal form approach
zbMATH Keywords: center manifold
zbMATH Keywords: Hopf bifurcation
Wikidata QID: Q58697141
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/948480
OpenAlex ID: W2016933097
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description: scientific article; zbMATH DE number 6116478