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

fYear

2012

fDate

24-25 July 2012

Firstpage

158

Lastpage

161

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing Science (ICIC), 2012 Fifth International Conference on

Conference_Location

Liverpool

ISSN

2160-7443

Print_ISBN

978-1-4673-1985-0

Type

conf

DOI

10.1109/ICIC.2012.59

Filename

6258095