Title :
The food chain model with impulsive effect and the stage structure
Author :
Jianwen, Jia ; Jianfen, Liu
Author_Institution :
Sch. of Math. & Comput. Sci., Shanxi Normal Univ., Linfen, China
Abstract :
A class of food chain model with impulsive effect, delay and the stage structure of the highest predator is discussed in this paper. Considering to continuously capture the adult of the highest predator and capture the prey at different fixed moment, we analyze the boundedness of solution for the system, the sufficient conditions of global attractivity of the predators-extinction periodic solutions and systems uniform persistence are obtained.
Keywords :
ecology; predator-prey systems; food chain model; global attractivity condition; highest predator stage structure; impulsive effect; predators-extinction periodic solution; uniform persistence condition; Analytical models; Biological system modeling; Computational modeling; Delay effects; Mathematical model; Periodic structures; Predator prey systems; Delay; Global attractivity; Persistence; Pulse effect; Stage structure;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
Conference_Location :
XianNing
Print_ISBN :
978-1-61284-458-9
DOI :
10.1109/CECNET.2011.5768378
