Optimasi Penyebaran Kolera Menggunakan Kontrol Sanitasi, Karantina, Edukasi dan Klorinasi

Anggraini, Dwita Suci (2019) Optimasi Penyebaran Kolera Menggunakan Kontrol Sanitasi, Karantina, Edukasi dan Klorinasi. Other thesis, Institut Teknologi Sepuluh Nopember.

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Abstract

Kolera adalah infeksi diare akut yang disebabkan oleh konsumsi makanan atau air yang terkontaminasi oleh bakteri Vibrio Cholerae. Kolera termasuk penyakit menular dan mematikan yang membutuhkan tindakan pencegahan dan pengendalian yang efektif. Dalam penelitian ini dilakukan upaya pencegahan penyebaran kolera dengan merekonstruksi model matematika dengan menambahkan kontrol sanitasi, karantina, edukasi, dan klorinasi pada bakteri. Metode yang digunakan yaitu Pontryagin Minimum Principle. Selanjutnya, dilakukan simulasi numerik dengan metode Runge-Kutta menggunakan software MATLAB. Berdasarkan hasil simulasi ditunjukkan bahwa pemberian kontrol dapat meminimumkan jumlah individu terinfeksi kolera dengan gejala ringan pada waktu akhir sebanyak 2 individu dan individu terinfeksi kolera dengan gejala berat pada waktu akhir sebanyak 7 individu serta dapat meminimumkan jumlah konsentrasi bakteri pada waktu akhir sebanyak 517 cell/ml.
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Cholera is a contagious and deadly disease that requires an effective prevention and control actions. In this paper, several efforts are made to prevent the cholera spreading by reconstructing the mathematical model and adding control sanitation, treatment consisted of quarantine and education as well as chlorination on to the bacteria. The Pontryagin Minimum Principle is employed to derive the optimal control solution and solved by Runge-Kutta method. The computational results showed that the control was able to minimize the number of individuals infected by cholera with mild symptoms at the final time as many as 2 individuals and individuals infected by cholera with severe symptoms at the final time as many as 7 individuals as well as minimize the number of bacteria concentrations at the final time as much as 517 cell/ml.

Item Type: Thesis (Other)
Additional Information: RSMa 511.8 Ang o-1 2019
Uncontrolled Keywords: Model Dinamika Kolera, Kontrol Optimal, Pontryagin Minimum Principle.
Subjects: Q Science > Q Science (General) > Q180.55.M38 Mathematical models
Divisions: Faculty of Mathematics, Computation, and Data Science > Mathematics > 44201-(S1) Undergraduate Thesis
Depositing User: Dwita Suci Anggraini
Date Deposited: 02 Apr 2024 02:35
Last Modified: 02 Apr 2024 02:35
URI: http://repository.its.ac.id/id/eprint/65670

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