Demand for COVID-19 vaccines is starting to dip as Mass. steps up efforts to reach the wary âYouâve gotten the easy people,â said one official. Now comes the hard part. By Robert Weisman Globe Staff,Updated May 1, 2021, 1 hour ago Email to a Friend Erick Escobar opened the door of a home as Ana Martinez and her daughter Daya Martinez waited in East Boston. A team from ASG are going go door to door to help inform people in East Boston about COVID-19 vaccines.David L. Ryan/Globe Staff After months of Massachusetts residents enthusiastically rushing to get their COVID-19 shots, a stark reality is taking hold in the stateâs vaccine program: Most of the people who were eager to roll up their sleeves have already done so.