DocumentCode
2208599
Title
Dynamics of a Three-Population Food Chain Model with Impulsive Effect
Author
Wang, Ding-jiang ; Dong, Yu-xiang ; Yang, Song-hua
Author_Institution
Dept Appl Math, Zhejiang Univ. of Technol., Hangzhou, China
fYear
2009
fDate
26-28 Dec. 2009
Firstpage
3768
Lastpage
3771
Abstract
In this paper, we consider a three-population food chain model which concerning about impulsive releasing predators (natural enemies) at fixed moment. By using the Floquet theory and the comparison theorem of impulsive differential equation, conditions for global asymptotic stability of pest-eradication periodic solution and permanence of the system are obtained. Finally, the explanation of its biological significance is given.
Keywords
asymptotic stability; differential equations; predator-prey systems; Floquet theory; fixed moment; global asymptotic stability; impulsive differential equation; impulsive releasing predator; pest eradication periodic solution; three population food chain model; Asymptotic stability; Biological control systems; Biological system modeling; Control systems; Differential equations; Diseases; Electronic mail; Insects; Mathematical model; Plants (biology);
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-4909-5
Type
conf
DOI
10.1109/ICISE.2009.524
Filename
5454556
Link To Document