Dynamic behaviors of a stochastic new logistic model for microbial growth in foods.

In this paper, a stochastic new logistic model is proposed, and dynamic behaviors of the model have been analyzed. The existence of global positive solution of the model is proved. In the persistence analysis of the model, the weak persistence and stochastic persistence of the model are proved. Some numerical simulations are presented to illustrate the dynamic properties of the model. [ABSTRACT FROM AUTHOR]