Neo-logistic model

We propose the neo-logistic model which can describe the bacteria growth data precisely. The model is not derived by modifying the logistic model formally, but by incorporating the synthesis of inducible enzymes into the logistic model indirectly, and so the parameters of the neo-logistic model are physically clear. It is relieved that our model can approximate the bacteria growth better than other models. We also try to predict the saturated number of bacteria in the stationary phase from the initial data and find that the neo-logistic model can predict the order of the number much more accurately than others.