Title :
The Global Stability and Periodicity of a Class Environment Mathematical Model with Delays
Author :
Li, Yunan ; Cheng, Rongfu
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
In this paper, we investigate the persistence of a class environment mathematical model with delays, 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; delays; environmental factors; initial value problems; mathematical analysis; Lyapunov function; class environment mathematical model; coincidence degree theory; comparability theorem; delay; global asymptotic stability; global periodicity; global positive periodic solution; global stability; sufficient condition; Asymptotic stability; Biological system modeling; Delay; Educational institutions; Equations; Mathematical model; Stability analysis; Environment mathematical model; Global asymptotic stability; Persistence; Positive periodic solution; coincidence degree theory;
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.2012.59
