Love is known to be a feeling of strong affection towards someone. When you love someone, you have a natural tendency to want to take care of that person. You know that your attraction for the person just goes beyond the surface.
It can turn to emotional attachment that you will have for the person which means that you will find it hard when the person would like to withdraw this emotional attachment from you. When you say lust, this is known to be a type of attraction that will lead to sexual attachment.
You just want to have sex with the person all the time. Sometimes, there are just no feelings involved when you feel lust towards someone.