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Mathematical Analysis of Fractional Order Diarrhea Model |
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PP: 41-58 |
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doi:10.18576/pfda/09S105
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Author(s) |
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Aqeel Ahmad,
Muhammad Farman,
Ali Akgu ̈l,
Kottakkaran Sooppy Nissar,
Abdel-Haleem Abdel-Aty,
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Abstract |
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| In this paper, the Diarrhea system is analyzed to construct a scheme for the fractional-order mathematical model to see the actual behavior within the bounded domain. The fractional-order Diarrhea model is investigated with the Atangana-Toufik method. Different effects of Diarrhea in the system are presented to specify the dynamic nature of diarrhoea disease for different fractional values. Fixed point theory is used to derive the existence and unique solutions of the fractional order Diarrhea system. Positivity and boundedness for the proposed system are verified. The Atangana-Toufik method is an advanced category of fractional derivative which is used to obtain the bounded solution of the proposed system with a generalized Mittag-Leffler kernel. Simulations are derived for the proposed scheme to check the effectiveness of the results and to understand the effects of Diarrhea disease in society. Future predictions can also be easily made from the justified results obtained. The proposed system is also analyzed by using different fractional values to see the continuous monitoring of diarrhea disease.
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