in the growth models,Logistic model is the mathematic model expressing bio-process in certain environment with a constant intrinsic growth rate(μ).The popularity(X) is afunction of time(t) only,i.e.X=f(t).In this paper,an augmented Logistic model taking account of ecological factors was developed,i.e.X=f(p,t),in which p reprents ecological factors.It is considered that the growth rate is the parameter related to ecological factors.So the augmented model may generalize experiments carried out on crops grown ...