Title :
Multiple Positive Periodic Solutions of a Predator-Prey System with Smith Growth and Stage Structure
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
In this paper, we study the existence of positive periodic solutions for a predator-prey system with Smith Growth for prey, with stage structure and non-monotonic functional response for predator. Two bounded open sets are obtained by using analytic technique. By means of the continuation theorem based on coincidence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained, which improve some known results.
Keywords :
ecology; initial value problems; predator-prey systems; set theory; analytic technique; bounded open set; coincidence degree theory; continuation theorem; ecology; positive periodic solution; predator nonmonotonic functional response; predator stage structure; predator-prey system; prey Smith growth; sufficient condition; Educational institutions; Equations; Indexes; Mathematical model; Periodic structures; Predator prey systems; Vectors; Coincidence degree theory; Multiple periodic solutions; SmithGrowth; Stage structure;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.33
