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Mathematical Modeling and Simulation for the Deadly Disease of Pine Trees

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6 Author(s)
Liang Mao ; Dept. of Math., Jianxing Coll. Zhejiang Univ. of Technol., Hangzhou, China ; Danying Chen ; Jinye Zhong ; Jiaying Fang
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This paper discusses the mathematical model depicting how Bursaphelenchus xylophilus infected pine trees. Firstly, according to the spread mechanism of communicable disease, we established a differential equation model with two species, i.e. pine trees and Monochamus alternatus Hop the--host of Bursaphelenchus xylophilus. Secondly, we studied the stability of system equilibrium under disease-free situations as well as disease-existing situations using Lyapunov Stability Theory. Last, we made several numerical simulations in order to test the correctness of our model. One merit of our work is providing theoretical basis for the practical control and prevention of this disease.

Published in:

Intelligent Human-Machine Systems and Cybernetics (IHMSC), 2012 4th International Conference on  (Volume:1 )

Date of Conference:

26-27 Aug. 2012

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