Title :
Stability of a Model of Nonlinear Forest Insect Pests
Author :
Wang, Ding-jiang ; Dong, Yu-xiang
Author_Institution :
Dept. Appl. Math., Zhejiang Univ. of Technol., Hangzhou, China
Abstract :
Based on the classical epidemic mode, a new epidemic model of forest which integrates Monochamus Alternatus Hope with Pines was established. The expression of the critical threshold was found. It is proved that, when the critical threshold less than 1, the disease free equilibrium is locally asymptotically stable, and when the critical threshold more than 1, the insect pests equilibrium is locally asymptotically stable. In addition to, the limit cycle of this model is non existent.
Keywords :
asymptotic stability; differential equations; diseases; forestry; Monochamus Alternatus Hope; asymptotic stability; differential equation; disease free equilibrium; forest epidemic model; nonlinear forest insect pest model; pine; Biological system modeling; Control systems; Differential equations; Diseases; Educational institutions; Electronic mail; Insects; Limit-cycles; Mathematical model; Stability analysis; component; equilibrium; forest; insect pests; stability; the critical threshold;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.239
