A stochastic model for drug resistance in AIDS chemotherapy and the HIV incubation distribution

In this paper I develop a stochastic model for drug resistance to the anti-viral drugs in AIDS chemotherapy. The HIV incubation distributions and the first four moments of these distributions are derived in the presence of drug resistance under treatment by some anti-viral drugs. Some computer simulations are generated to illustrate the effects of drug resistance on the HIV incubation distributions and the progression of the HIV epidemic. It is shown that drug resistance would nullify the effects of treatment by anti-viral drugs and hence speed up the progression of the HIV epidemic considerably.Drug resistance HIV incubation Treatment by anti-viral drugs