Title :
Permanence and Periodicity of Food Chain System with Functional Response
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
A food chain system with Bedding-type functional response is investigated. By employing Comparability Theorem and Mawhin´s Continuation Theorem of Coincidence Degree Theory, a set of easily verifiable sufficient conditions are obtained to guarantee the permanence of the system and the existence of positive periodic solutions of the system. Some new results are obtained.
Keywords :
ecology; predator-prey systems; Bedding-type functional response; Mawhin continuation theorem; coincidence degree theory; comparability theorem; food chain system; positive periodic solution; predator-prey systems; sufficient condition; system periodicity; system permanence; Delay; Educational institutions; Equations; Indexes; Predator prey systems; Vectors; Coincidence degree Theory; Food chain system; Permanence; 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.2012.39
