| Title |
The influence of infection ratio on Gradual Reduction of Drug Dose for the treatment of AIDS patients |
| Authors |
이강현(Lee, Kang-Hyun) ; 조남훈(Jo, Nam-Hoon) |
| Keywords |
AIDS ; HIV ; Non-progressor ; Infection ratio ; Bifurcation Diagram ; Lyapunov stability |
| Abstract |
In this paper, we study the influence of infection ratio on gradual reduction of drug dose for the five state HIV infection model that explicitly includes the population of the virus. We first compute all equilibrium points of the model and investigate the stabilities of them. As a result, a bifurcation diagram is obtained which shows a change in the equilibrium points, or in their stability properties, as the drug effect η is varied from 0 to 1(alternatively, drug dose is changed from 1 to 0). Based on the bifurcation diagram, we show that the gradual reduction of drug dose can be applied for the treatment of AIDS patients. Moreover, we analyze the influence of the variation of infection ratio on the gradual reduction treatment. Computer simulation results are also presented to validate the proposed results. |