Optimal control strategy for the effects of hard water consumption on kidney-related diseases

BMC Research Notes

David Tambaru¹  Bertha S. Djahi²  Fransiska R. Berkanis³  Meksianis Z. Ndii³  Ariyanto³  Maria Lobo³ 

[1] Department of Chemistry, Faculty of Sciences and Engineering, University of Nusa Cendana;Department of Computer Science, Faculty of Sciences and Engineering, University of Nusa Cendana;Department of Mathematics, Faculty of Sciences and Engineering, University of Nusa Cendana;

关键词: Hard water;    Mathematical model;    Optimal control;    Sensitivity analysis;    Kidney;   

DOI  :  10.1186/s13104-020-05043-z

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown