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Optimal control of treatments in a two-strain tuberculosis model

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  • Optimal control theory is applied to a system of ordinary differential equations modeling a two-strain tuberculosis model. Seeking to reduce the latent and infectious groups with the resistant-strain tuberculosis, we use controls representing two types of treatments. The optimal controls are characterized in terms of the optimality system, which is solved numerically for several scenarios.
    Mathematics Subject Classification: 34C60, 34K35, 49J15, 92D30.

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