It's a Whooping Cough infection, so it can be treated with antibiotics .
The bacterium which causes whooping cough can be killed by antibiotics. However, once the bouts of coughing have started, treatment with antibiotics makes little impact on the course of the illness. In effect, the bacteria will have done what they need to do to the airways to set off the bouts of coughing for the next few weeks.
However, a course of antibiotics is still usually given if the disease is already effect your body in the first few weeks of the illness. This is because after five days of antibiotics you are no longer infectious. Without antibiotics, you can remain infectious for about three weeks after the bouts of coughing start.