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A Caputo-type fractional-order mathematical model for "metapopulation choleratransmission" was recently proposed in [Chaos Solitons Fractals 117 (2018),37--49]. A sensitivity analysis of that model is done here to show the accuracyrelevance of parameter estimation. Then, a fractional optimal control (FOC)problem is formulated and numerically solved. A cost-effectiveness analysis isperformed to assess the relevance of studied control measures. Moreover, suchanalysis allows us to assess the cost and effectiveness of the control measuresduring intervention. We conclude that the FOC system is more effective only inpart of the time interval. For this reason, we propose a system where thederivative order varies along the time interval, being fractional or classicalwhen more advantageous. Such variable-order fractional model, that we call a'FractInt' system, shows to be the most effective in the control of thedisease.

Fractional-Order Modelling and Optimal Control of Cholera Transmission