Dynamic Properties of a Forest Fire Model | Zendy

Na Min | Zendy; Hongyang Zhang | Zendy; Zhilin Qu | Zendy

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Dynamic Properties of a Forest Fire Model

Author(s) -

Na Min,

Hongyang Zhang,

Zhilin Qu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/948480

Subject(s) - mathematics , stability (learning theory) , center manifold , hopf bifurcation , manifold (fluid mechanics) , bifurcation , diffusion , computer science , physics , engineering , nonlinear system , mechanical engineering , quantum mechanics , machine learning , thermodynamics

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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