Title :
Existence of Multiple Periodic Solution of a Predator-Prey System with Infinite Delay
Author :
Gao, Pan ; Cheng, Rongfu
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
In this paper, we study the existence of positive periodic solutions for a predator-prey system with infinite delay and non-monotonic functional response. Two bounded open sets are obtained by using analytic technique. By means of the continuation theorem based on coincidence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained.
Keywords :
ecology; predator-prey systems; set theory; bounded open sets; coincidence degree theory; continuation theorem; infinite delay functional response; multiple periodic solution; nonmonotonic functional response; positive periodic solutions; predator prey system; Cities and towns; Delay systems; Ecosystems; Educational institutions; Equations; Mathematics; Predator prey systems; Sufficient conditions; coincidence degree; multiple periodic solution; non-monotonic functional response; pedator-pree system;
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.2010.26
