Before revision:  {\it   In the second part, we incorporate in the model, a consideration of artificial herd immunity and show how we can decrease the peak time of infection with a subsequent decrease in the maximum number of infected people .
After revision:  {\it As far as we know the phase transition and its quantification in terms of the scaling behaviour is not yet know in the context of pandemic In the second part, we incorporate in the model, a consideration of artificial herd immunity and show how we can decrease the peak time of infection with a subsequent decrease in the maximum number of infected people .