Title :
Stability analysis and impulse control of a class of oral microorganisms Chemostat models
Author :
Kun Yi Yang ; Zhi Chao Ma ; Jie Zhang
Author_Institution :
Coll. of Sci., North China Univ. of Technol., Beijing, China
Abstract :
In this paper, an oral microorganism Chemostat model under the background of bad breath has been considered. Three dimensional equilibrium points have been obtained. Then we analyze stability of the equilibrium points with practical significance. In order to overcome the bad breath, the methods of impulse control have been imposed to the original system, and sufficient conditions of curing the disease have been received. Finally, simulations illustrate effectiveness of our results.
Keywords :
diseases; microorganisms; stability; transient response; curing; disease; equilibrium point stability; impulse control; oral microorganism Chemostat models; stability analysis; sufficient conditions; three dimensional equilibrium points; Biological system modeling; Diseases; Drugs; Manifolds; Mathematical model; Microorganisms; Stability analysis; Chemostat; bad breath; equilibrium points; impulse control; stability;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6896137
