Title :
Multiple Periodic Solution of a Multi-delay Predator-Prey System with Non-monotonic Functional Response
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
By using the continuation theorem of coincidence degree theory, we study the existence of positive periodic solutions for a multi-delay predator-prey system with non-monotonic functional response. A set of sufficient conditions for this system to have at least two positive periodic solutions is established. Some new results are obtained, the evolving law is revealed that when the two species intrinsic increasing rate is greater than the total consumption rate, the system will bring periodic oscillation of biological nature.
Keywords :
predator-prey systems; biological nature; coincidence degree theory; continuation theorem; multidelay predator-prey system; multiple periodic solution; nonmonotonic functional response; Biological system modeling; Delay; Equations; Indexes; Predator prey systems; coincidence degree; multiple periodic solutions; non-monotonic functional response; predator-prey system;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.78
