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Optimal control and stability analysis of an epidemic model with education campaign and treatment

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  • In this paper we investigated a SIR epidemic model in which education campaign and treatment are both important for the disease management. Optimal control theory was used on the system of differential equations to achieve the goal of minimizing the infected population and slow down the epidemic outbreak. Stability analysis of the disease free equilibrium of the system was completed. Numerical results with education campaign levels and treatment rates as controls are illustrated.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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