Title :
Existence of Periodic Solutions of Predator-Prey Diffusive System with Ratio-Dependence and Stage Structure
Author :
Cheng, Rongfu ; Liu, Yiyun
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
In this paper, a non-autonomous predator-prey system with ratio-dependence 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 :
predator-prey systems; Gaines continuation theorem; Mawhin continuation theorem; coincidence degree theory; predator-prey diffusive system; ratio-dependence type functional response; stage structure; Cities and towns; Delay effects; Ecosystems; Educational institutions; Equations; Mathematics; Periodic structures; Predator prey systems; Sufficient conditions; Coincidence degree theory; Positive periodic solution; Predator-prey diffusive system;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.262
