A ball python can survive for up to a year without eating, however problems may occur as a result. Long-term anorexia can lead to dehydration which in turn can lead to kidney problems. The best method for dealing with this problem is to see a qualified reptile veterinarian if the animal fails to eat after 60 days. There are drugs available now that have been proven to stimulate appetite in reptiles when given in small dosages.
The most important factor involving lighting and heat is to be sure and to provide a heat/light cycle of 12-14 hours per day. This will allow the animal time to cool off at night. Constant light has been shown to effect thyroid production in some species of reptiles. Since ball pythons are nocturnal eaters providing constant light may effect eating habits, thus making a problem eater even more of a problem.

Best of Luck.