Title :
A Predator-Prey System with Group Defense and Impulsive Effect
Author :
Li, Shun-Yi ; Yan, Zhong-quan
Author_Institution :
Dept. of Math., Qiannan-Normal-Coll.-for ´´Nat.-Duyun, Guizhou, China
Abstract :
A predator-prey system with group defense and impulsive effect is established. By using Floquet theorem and small amplitude perturbation skills, a locally stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value. Otherwise, the system is permanent. Finally, some numerical examples and conclusion are given.
Keywords :
differential equations; predator-prey systems; Floquet theorem; amplitude perturbation skills; group defense; impulsive effect; predator-prey system; Bifurcation; Educational institutions; Mathematics; Numerical simulation; Predator prey systems; Spraying; extinction; group defense; impulsive effect; permanence;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.198
