We examine the HIV eradication in this paper using a mathematical model and analyse the occurrence of virus eradication during the early stage of infection. To this end we use a deterministic HIV infection model, modify it to describe the pharmacological dynamics of antiretroviral HIV drugs, and consider the clinical experimental results of preexposure prophylaxis HIV treatment. We also use numerical simulation to the model the experimental scenario, thereby supporting the clinical results with a model-based explanation. The study results indicate that the protocol employed in the experiment can eradicate HIV in infected patients at the early stage of the infection.