Title :
Periodicity and Permanence of Two Prey-One Predator Model with Infinite Delay
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
This paper studies a nonautonomous predator-prey system with two compete prey predated by one predator and infinite delay. By using differential equation Comparability Theorem and Continuation theorem based on Coincidence degree theory, we obtain the permanent and positive periodic solution existence of the system. Some new results obtained.
Keywords :
delays; differential equations; ecology; predator-prey systems; time-varying systems; coincidence degree theory; comparability theorem; continuation theorem; differential equation; ecosystem; infinite delay; nonautonomous predator-prey system; periodicity; permanence; permanent solution; positive periodic solution existence; two prey-one predator model; Delay; Differential equations; Educational institutions; Equations; Mathematical model; Predator prey systems; Vectors; Continuation theorem; Nonautonomous predator system; persistence; positive periodic solution;
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.2012.36
