Small particles irritate asthmatic airways. Wipe walls and ceilings with a damp mop. Vacuum air and heating vents. Beware of vacuum cleaner backdraft . Keep clutter to a minimum .
Stuffed animals offer a paradise for mites.
No pet, no dander . The only real solution is not to have the cat. Replace furnace and duct filters monthly as they collect dust and molds. Keep asthmatics away from gas stoves . Ask your pediatrician about allergenic foods .