Improved oral chemostat model and its Lyapunov stability

In this paper, we consider phenomenon of oral odor. Firstly, in the case of ration-dependent increasing rate function, we set up the ordinary differential equations models for the relations between human oral microorganism populations. They are chemostat models that have been widely applied in both mathematical and biological fields. Secondly, using the Lyapunov stability theory, we analyze asymptotic behavior for solutions of differential equations' models and get the stability results for the balance nodes. Then we have the main result: bad breath, as a disease, should be cured by professional methods. Simulation results prove our results.