Sensitivity And Optimal Control Analysis Of HIV/AIDS Model

In this study we revisit a theme of F. Nyabadza et al. [Journal of Biological Systems 18 No.2 (2010), 357-375], studying the optimal control of rolling out a public health education campaign and providing some further insights. We produce a Lyapunov function to prove global stability of the disease free equilibrium, and include a sensitivity analysis of the parameters and state variables. Finally, we present an optimal control problem on the implementation strategy of public health education, together with its solution. Various simulations are provided to illustrate the control problem.