Title :
Positive Periodic Solution of a Stage-Structured Species Model with Holling Type IV Functional Response and Cannibalism for Predator
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
Some species are cannibalistic and their lives can be divided into several stages. When this kind of species is predator, a stage-structured species model with time delay, Holling type IV functional response and cannibalism can be formulated. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. Some new results are obtained.
Keywords :
predator-prey systems; Holling type IV functional response; coincidence degree theory; positive periodic solution; predator cannibalism; stage structured species model; time delay; Biological system modeling; Cities and towns; Delay effects; Educational institutions; Electronic mail; Marine vegetation; Mathematical model; Mathematics; Predator prey systems; Sufficient conditions; coincidence degree; ecosystem; periodic solution; stage-structured; time delay;
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.2010.22
