Existence of Multiple Periodic Solution of a Predator-Prey System with Infinite Delay

Author

Gao, Pan ; Cheng, Rongfu

Author_Institution

Math. Coll., Beihua Univ., Jilin, China

Volume

1

fYear

2010

fDate

4-6 June 2010

Firstpage

77

Lastpage

80

Abstract

In this paper, we study the existence of positive periodic solutions for a predator-prey system with infinite delay and non-monotonic functional response. 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.

Keywords

ecology; predator-prey systems; set theory; bounded open sets; coincidence degree theory; continuation theorem; infinite delay functional response; multiple periodic solution; nonmonotonic functional response; positive periodic solutions; predator prey system; Cities and towns; Delay systems; Ecosystems; Educational institutions; Equations; Mathematics; Predator prey systems; Sufficient conditions; coincidence degree; multiple periodic solution; non-monotonic functional response; pedator-pree system;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICIC.2010.26

Filename

5514232