Title :
Existence of Periodic Solutions of Predator-Prey Diffusive System with Ratio-Dependence III Type and Stage Structure
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
In this paper, a non-autonomous predator-prey system with Ratio-Dependence III type functional response and stage structure for predator and time delay in patch circumstances is investigated. By using Gaines and Mawhin´s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions to guarantee the existence of positive periodic solutions of the system are obtained. Some new results are obtained.
Keywords :
delays; predator-prey systems; Gaines continuation theorem; Mawhin continuation theorem; coincidence degree theory; nonautonomous predator-prey system; periodic solutions; predator-prey diffusive system; ratio-dependence III type; stage structure; time delay; Computational modeling; Delay effects; Differential equations; Equations; Mathematical model; Periodic structures; Predator prey systems; coincidence degree theory; positive periodic solution; predator-prey diffusive 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.2011.63
