A nonlinear dynamical system is proposed and qualitatively analyzed to study the dynamics of HIV/AIDS in the workplace.The\ndisease-free equilibrium point of the model is shown to be locally asymptotically stable if the basic reproductive number,R0, is less\nthan unity and the model is shown to exhibit a unique endemic equilibrium when the basic reproductive number is greater than\nunity. It is shown that, in the absence of recruitment of infectives, the disease is eradicated whenR0 < 1, whiles the disease is shown\nto persist in the presence of recruitment of infected persons.Thebasicmodel is extended to include control efforts aimed at reducing\ninfection, irresponsibility, and nonproductivity at the workplace. This leads to an optimal control problem which is qualitatively\nanalyzed using Pontryagin�s Maximum Principle (PMP). Numerical simulation of the resulting optimal control problem is carried\nout to gain quantitative insights into the implications of the model.The simulation reveals that a multifaceted approach to the fight\nagainst the disease is more effective than single control strategies.
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