OPTIMAL CONTROL AND HOPF BIFURCATION ANALYSIS OF DELAY DEPENDENT HIV PROTEASE INHIBITOR MODEL

Abstract

In this article, HIV protease inhibitor model with three intracellular delays is considered and the stability analysis for the case of τ̄ = 0 where, τ̄ = τ + τ_2 and τ_1 ≠ 0 for the same model is examined. τ_1, the delay corresponding to the loss of target cells is viewed as a bifurcation parameter, a limit cycle bifurcation about the infected steady state is scrutinized. Further, a mathematical model of HIV protease inhibitor model using control terms is presented and analysed mathematically.