Optimal Control of a Time Delayed HIV-1 Infection Model


  • Nigar Ali Department of Mathematics University of Malakand
  • Muhammad Ikhlaq Chohan
  • Gul Zaman




In this paper, an optimal control problem of HIV infection model of delay differential equations is taken into account. Then we set a control function which represents the efficiency of reverse transcriptase inhibitors. Objective functional is constructed to minimize the virus concentration as well as treatment costs.Adjoint system is derived using Pontryagins Maximum Principle. Optimality system is calculated and numerical simulation is carried out to illustrate the theoretical results. Finally, conclusion is drawn


How to Cite

Ali, N., Chohan, M. I., & Zaman, G. (2019). Optimal Control of a Time Delayed HIV-1 Infection Model. European Journal of Pure and Applied Mathematics, 12(2), 506–518. https://doi.org/10.29020/nybg.ejpam.v12i2.3416