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
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);
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.524
