Sometimes babies want to be soothed and continuous demand for feeds is more out of the need to be soothed and held and comforted more than hunger.
Also baby may be going through a growth spurt and hence constantly hungry. So the more you breastfeed, the more will be your milk supply. It's nature's way of increasing a mother's milk supply.
If the baby is peeing atleast 6-8 times in a day, gaining adequate weight, you need not worry.
Have lots of fluids, fresh fruits and vegetables, a balanced diet and your milk supply will improve. Think good thoughts about the baby and that helps
Next Steps
if it gets out of hand you can top feed with formula with katori and spoon