2020
DOI: 10.1186/s13104-020-05043-z
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Optimal control strategy for the effects of hard water consumption on kidney-related diseases

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 cont… Show more

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Cited by 10 publications
(6 citation statements)
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“…In this section, we perform numerical simulations to illustrate the numerical results of the dynamic model (4) and control model (6). The simulation of the control model ( 6) is carried out using the forward-backward sweep method [31,40,41]. A set of parametric values is employed for the detailed investigations shown in Table 1.…”
Section: Resultsmentioning
confidence: 99%
“…In this section, we perform numerical simulations to illustrate the numerical results of the dynamic model (4) and control model (6). The simulation of the control model ( 6) is carried out using the forward-backward sweep method [31,40,41]. A set of parametric values is employed for the detailed investigations shown in Table 1.…”
Section: Resultsmentioning
confidence: 99%
“…The coefficients A 3 and A 4 are the quadratic terms representing an increase in the resource needed to accommodate high levels of control. The quadratic terms are often used to represent non-linear cost of implementing the controls [25], [27], [26].…”
Section: Objective Functionalmentioning
confidence: 99%
“…Tulisan ini bertujuan mengkonstruksi model matematika teoritis mengenai dinamika interaksi mahasiswa di perguruan tinggi, membuktikan model secara analisis tentang positif invariant, terbatas dan stabil global dari titik kesetimbangan bebas interaksi mahasiswa maupun titik kesetimbangan endemik interaksi mahasiswa. Analisis kepositifan dapat ditemukan pada beberapa artikel [2]. Bukti stabil global yang menjadi rujukan dalam tulisan ini adalah prinsip invariant LaSalle yang terdapat di kertas kerja Jafaruddin dkk [3] dan Yuni Yulida dkk [4]…”
Section: Pendahuluanunclassified