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
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;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
