Kontrol Optimal pada Model Epidemik SIR Penyakit Demam Berdarah

Katrina Pareallo, Wahidah Sanusi, Syafruddin Side

Abstract


This study discusses about the optimal control on dengue fever distribution model using the minimum principle of Pontryagin. Dengue is a disease caused by dengue virus it transmitted by the female mosquitos species, namely Aedes aegeypti and Aedes Albopictus. Thus disease cause death if not treated seriously. The disease can be prevented by vaccine, called Chimeric Yellow Fever 17D-Tetravalent Dengue Vaccine(CYD-TDV).  The discussion starts from determining the SIR model using the controls, determining the optimal control using the minimum principle of Pontryagin , the simulation using Maple software and the result analysis. In this study obtained the system of differential equations, optimal control equations, and graphs of the SIR model without using controls and using the control. Based on the results obtained concluded that by adding control factor to SIR model can minimize the number of infected individuals.

Full Text:

PDF

References


Ikhtisholiyah. (2011). Analisis Stabilitas dan Optimal Kontrol Pada Model Tipe Epidemic SIR Dengan Vaksinasi. http://digilib.its.ac.id/public/ITS-Undergraduate-17439-Paper-1377307.pdf . diakses pada tanggal 23 Maret 2017.

Kemenkes RI. (2010). Buletin Jendela Epidemiologi Demam Berdarah Dengue. Jakarta: Pusat Data dan Surveilans Epidemiologi Kemenkes RI.

Leleury, Z.A. (2017). Analisis Stabilitas Model SIR pada Penyebaran Penyakit Demam Berdarah Dengue di Provinsi Maluku. Jurnal Matematika, Vol 7 ( 2) . 144-158.

Setiawan. (2012). Kontrol Optimal Penyebaran Tuberculosis dengan Exogenous Reinfection. (Tesis,tidak dipublikasikan).Program Studi Magister Matematika. Universitas Indonesia. Depok.

Side,S. (2014). Pemodelan matematika SIR dan SEIR :Badan Penerbit Universitas Negeri Makassar. Makassar.


Article Metrics

Abstract view : 4 times | PDF view : 2 times

Refbacks

  • There are currently no refbacks.




Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.



Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.