DocumentCode
550221
Title
Permanence and stability of Ivlev-type chemostat model with impulsive perturbation
Author
Sun Ying ; Han Zhenlai
Author_Institution
Sch. of Sci., Univ. of Jinan, Jinan, China
fYear
2011
fDate
22-24 July 2011
Firstpage
5619
Lastpage
5623
Abstract
A system of impulsive differential equations is considered as a chemostat model with Ivlev-type growth-rates. Conditions for the existence and stability of a microorganism eradication period solution have been established. Also, we find a sufficient condition that the model is permanent.
Keywords
bioreactors; differential equations; microorganisms; perturbation techniques; stability; Ivlev-type chemostat model; impulsive differential equations; impulsive perturbation; microorganism eradication period solution; stability; Asymptotic stability; Differential equations; Eigenvalues and eigenfunctions; Mathematical model; Microorganisms; Stability analysis; Substrates; Chemostat; Global Stability; Impulse; Permanence;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2011 30th Chinese
Conference_Location
Yantai
ISSN
1934-1768
Print_ISBN
978-1-4577-0677-6
Electronic_ISBN
1934-1768
Type
conf
Filename
6000558
Link To Document