Title :
On the Chemostat Model with Impulsive Input and Time Delay
Author :
Li, Luping ; Jia, Jianwen ; Cao, Hui
Author_Institution :
Coll. of Math. & Comput. Sci., Shanxi Datong Univ., Datong, China
Abstract :
In this paper, we investigate a chemostat model with delay and periodically pulsed input nutrient. We obtain the sufficient condition for global attractivity of the microorganism-extinction periodic solutions and the permanence of the system. And, we also prove that all solutions of system are ultimately uniformly bounded.
Keywords :
biology; delays; differential equations; chemostat model; global attractivity condition; impulsive input delay; microorganism-extinction periodic solutions; periodically pulsed input nutrient; time delay; Biological system modeling; Computer science; Delay effects; Differential equations; Educational institutions; Laboratories; Mathematical model; Mathematics; Organisms; Sufficient conditions;
Conference_Titel :
Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4712-1
Electronic_ISBN :
2151-7614
DOI :
10.1109/ICBBE.2010.5516572
