Stability analysis and impulse control of a class of oral microorganisms Chemostat models

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.