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An Optimal Control Problem for Dengue Fever Model Using Caputo Fractional Derivatives |
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PP: 1-13 |
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doi:10.18576/pfda/100101
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Author(s) |
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Madasamy Vellappandi,
Venkatesan Govindaraj,
Pushpendra Kumar,
Kottakkaran Sooppy Nisar,
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Abstract |
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| In this paper, we study the optimal control of the dengue disease model with the vertical transmission in terms of the Caputo fractional derivatives. We apply the control parameters like larvicide, fogging, vaccination, and isolation to stop the spread of the dengue epidemic and explore the influence of the fractional order α (0.6 ≤ α ≤ 1) on the dengue transmission model. We apply a forward-backward sweep scheme using the Adams-type predictor-corrector approach for solving the proposed control problem. Finally, the effects of optimal controls considering three different cases in the given model are discussed.
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