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

Volume

3

fYear

2009

fDate

21-22 May 2009

Firstpage

134

Lastpage

137

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing Science, 2009. ICIC '09. Second International Conference on

Conference_Location

Manchester

Print_ISBN

978-0-7695-3634-7

Type

conf

DOI

10.1109/ICIC.2009.239

Filename

5168822