Before revision:   When the bacterial populations are able to split into subpopulations to have two phenotypes with different average lag time , the fraction of the finite lag time population shows continuous transition when changing the severeness of antibiotics application .
After revision:  This suggests the possibility of reducing tolerant bacteria by controlled usage of antibiotics application. When the bacterial populations are able to split into subpopulations to have two phenotypes with different average lag time , the fraction of the finite lag time population shows continuous transition when changing the severeness of antibiotics application .