Title :
Periodicity in a Lotka-Volterra Facultative Mutualism System with Several Delays
Author :
Dang, Lina ; Cheng, Rongfu
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
with the help of a continuation theorem based on Gaines and Mawhin´s coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of the facultative Lotka-Volterra system with several delays. The result we obtained here generalized the result of Gopalsamy, He (1997), Yang (2002) and Chen (2004).
Keywords :
delays; environmental factors; matrix algebra; Lotka-Volterra facultative mutualism system; Mawhin coincidence degree; continuation theorem; positive periodic solution; Delay; Differential equations; Equations; Helium; Manganese; Mathematical model; Positive Periodic solution; coincidence degree; delay equation; existence; facultative mutualism 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.2011.93