Dynamic Properties of a Forest Fire Model
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 trivi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/948480 |
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| _version_ | 1832563694381301760 |
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| author | Na Min Hongyang Zhang Zhilin Qu |
| author_facet | Na Min Hongyang Zhang Zhilin Qu |
| author_sort | Na Min |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3358df9c78394825a0a3507e66027d56 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3358df9c78394825a0a3507e66027d562025-02-03T01:12:40ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/948480948480Dynamic Properties of a Forest Fire ModelNa Min0Hongyang Zhang1Zhilin Qu2Department of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Northeast Forestry University, Harbin 150040, ChinaThe 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.http://dx.doi.org/10.1155/2012/948480 |
| spellingShingle | Na Min Hongyang Zhang Zhilin Qu Dynamic Properties of a Forest Fire Model Abstract and Applied Analysis |
| title | Dynamic Properties of a Forest Fire Model |
| title_full | Dynamic Properties of a Forest Fire Model |
| title_fullStr | Dynamic Properties of a Forest Fire Model |
| title_full_unstemmed | Dynamic Properties of a Forest Fire Model |
| title_short | Dynamic Properties of a Forest Fire Model |
| title_sort | dynamic properties of a forest fire model |
| url | http://dx.doi.org/10.1155/2012/948480 |
| work_keys_str_mv | AT namin dynamicpropertiesofaforestfiremodel AT hongyangzhang dynamicpropertiesofaforestfiremodel AT zhilinqu dynamicpropertiesofaforestfiremodel |