It's quite possible that your children have built up enough antibodies to protect them, but it's also possible that they are more susceptible because they are weaker. Some of it depends on whether you have the same bug they had - if it's the same, they might be okay. If it's different, then their systems may not protect them. The meds aren't providing protection, just killing the bacteria and helping with symptoms.
Antibiotics will work for a bacterial infection but not a viral one, so it depends. I'm surprised by the number of people who think you should just load up on inhalers & steroids - these are not risk-free treatments, and you cannot use them long-term. If you work to increase your immune systems, you can reduce these infections. I used to get bronchitis 3-4 times a year, for 4 weeks at a time, and I was miserable. Constant coughing, no sleep (the coughing was worse at night), and I was never well. I have friends whose child was on a nebulizer 3 weeks out of 4 and had no life. They found a great product that changed their lives, and I used the same thing to strengthen my immune system (and my son's). No bronchitis or colds for over 4 years.
So think about whether the worry is worth it, or whether there is something you can do to prevent future illnesses. Aside from the toll that the worrying is taking on you (probably making you sleep less and become more vulnerable yourself), the expense of all the meds and copays is starting to add up. Prevention is generally much much cheaper in the long run, and better for your sanity and life style.
