DocumentCode
2306000
Title
Multiple Periodic Solution of a Multi-delay Predator-Prey System with Non-monotonic Functional Response
Author
Zhao, Ming
Author_Institution
Math. Coll., Beihua Univ., Jilin, China
fYear
2011
fDate
25-27 April 2011
Firstpage
400
Lastpage
403
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location
Phuket Island
Print_ISBN
978-1-61284-688-0
Type
conf
DOI
10.1109/ICIC.2011.78
Filename
5954589
Link To Document