Title :
Global Stability and Periodicity of Predator-Prey System with Holling IV Type Functional Response
Author_Institution :
Coll. of Mathematic, Beihua Univ., Jilin, China
Abstract :
In this paper, we investigate the persistence of a class of predator-prey system with double density restrict and Holling IV type functional response, the existence and the global stability of its global positive periodic solution by using Comparability Theorem, Coincidence Degree Theory and Lyapunov functions. We obtain the sufficient conditions which guarantee the existence of the global asymptotic stable positive periodic solution of the periodic system. Some new results obtained.
Keywords :
Lyapunov methods; asymptotic stability; periodic control; predator-prey systems; Lyapunov function; coincidence degree theory; comparability theorem; global asymptotic stable positive periodic solution; global stability; holling IV type functional response; periodic system; periodicity; predator-prey system; Asymptotic stability; Delay; Differential equations; Equations; Mathematical model; Predator prey systems; Coincidence degree theory; Global asymptotic stability; Holling IV type functional response; Persistence; Positive periodic solution; Predator-prey 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.2011.68
