Title :
Permanence of the Impulsive Predator-Prey System with Beddington-DeAngelis Functional Response
Author_Institution :
Sch. of Sci., Zhejiang Univ. of Sci. & Technol., Hangzhou, China
Abstract :
Beddington-DeAngelis functional response predator-prey system , which may inherently oscillate, is considered by introducing periodic constant impulsive immigration of predator. The Local stability of the prey extinction periodic solution, as well as the Permanence conditions of the system , are established via the method of comparison involving Liapunov functions.
Keywords :
Lyapunov methods; predator-prey systems; Beddington-DeAngelis functional response; Liapunov functions; impulsive predator immigration; impulsive predator-prey system; periodic constant predator immigration; prey extinction periodic solution; system permanence conditions; Biological system modeling; Computational biology; Crops; Equations; Fires; Interference; Laboratories; Physiology; Predator prey systems; Stability; Beddington-DeAngelis functional; Permanence; impulsive perturbation;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.358
