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Optimal control strategy for the effects of hard water consumption on kidney-related diseases
Meksianis Z Ndii1, Fransiska R Berkanis2, David Tambaru3
1Department of Mathematics, Faculty of Sciences and Engineering, University of Nusa Cendana, Kupang-NTT, Indonesia. meksianis.ndii@staf.undana.ac.id.
Abstract:
OBJECTIVES : We study the optimal control strategy for the effects of hard water consumption on kidney-related diseases. The mathematical model has been formulated and studied to gain insights on the optimal control strategy on the effects of hard-water consumption on kidney-related diseases. The positivity and boundedness of the solutions are determined. A global sensitivity analysis has been performed and the numerical solutions have been carried out. RESULTS : A global sensitivity analysis shows that the control on water is an important parameter. This can reduce the proportion of individuals with kidney-dysfunction and hence reduces the proportion of individuals with kidney-related diseases. Furthermore, the numerical solutions show that with the optimal control, the proportion of individuals with kidney-related diseases can be minimised.
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