Title :
Positive Periodic Solution of a Predator-Prey System with Stage-Structured and Cannibalism for Predator
Author_Institution :
Coll. of Math., Beihua Univ., Jilin, China
Abstract :
Some species are cannibalism and their lives can be divided into several stages. When this kind of species is predator, a Predator-prey system with ratio-dependent functional response, time delay, cannibalism and stage-structured can be formulated. For this system, the non-negativity of solution are discussed. The sufficient condition for existence of positive periodic solution is obtained by using coincidence degree theory. Some new results obtained.
Keywords :
predator-prey systems; cannibalism; coincidence degree theory; positive periodic solution; predator-prey system; ratio-dependent functional response; sufficient condition; time delay; Convergence; Delay effects; Equations; Indexes; Mathematical model; Predator prey systems; Coincidence degree; Periodic solution; Predator-prey system; Ratio-dependent functional response; Stage-structured; Time delay;
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.2011.95
