Stability and Optimal Control of a Delayed HIV Model

Abstract

We propose and investigate a delayed model that studies the relationship between HIV and the immune system during the natural course of infection and in the context of antiviral treatment regimes. Sufficient criteria for local asymptotic stability of the infected and viral free equilibria are given. An optimal control problem with time delays both in state variables (incubation delay) and control (pharmacological delay) is then formulated and analyzed, where the objective consists to find the optimal treatment strategy that maximizes the number of uninfected $CD{4}^{+}$ T cells as well as CTL immune response cells, keeping the drug therapy as low as possible.

This is a preprint of a paper whose final and definite form is with 'Mathematical Methods in the Applied Sciences', ISSN 0170-4214. Submitted 05-July-2016; accepted 24-Sept-2016

References in corpus (2)

• A TB-HIV/AIDS coinfection model and optimal control treatment
• Optimal Control of a Tuberculosis Model with State and Control Delays

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