On the batch bioconversions of glycerol to 1, 3-propanediol(1, 3-PD) for enzyme-catalytic process background, a class of no analytical solution and balance point of the nonlinear dynamic system is studied. Firstly, the compactness of the solution set of initial state for the system and the properties of fundamental matrix solution of linear variational system are discussed, the strong stability of the nonlinear dynamic system is proved. This work is a theoretical foundation of further numerical calculation.