AN IMPULSIVE DIFFERENTIAL MODEL ON POST EXPOSURE PROPHYLAXIS TO HIV-1 EXPOSED INDIVIDUAL

An impulsive differential model for post exposure prophylaxis (PEP) to HIV-1 exposure is proposed with presence of drugs. Two therapy strategies (the Drugs Perfect Adherence strategy and the Drugs Therapy Breaks strategy) are studied. The threshold R-c(d) is obtained for the model. The safe-dose threshold ((R) over bar) and the unsafe-dose threshold ((R) over cap) for PEP treatment are evaluated for the impulsive model under the Drugs Prefect Adherence strategy. The numerical simulations show that, in addition to the sufficient dosing of drug and to the sufficiently frequent dosing of drug, the basic reproduction number R-c is also responsible for the different final outcome of PEP treatment.