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An Optimal Control Analysis of Dengue Fever Ilmayasinta, Nur; Febriyanti, Rahma; Prafianti, Rayinda Aseti; Zakiyah, Nabila Syarifah
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 5 No. 2 (2023)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v5i2.30392

Abstract

AbstractDengue fever is one of the most infectious diseases in the world, according to data issued by the World Health Organization in 2014. It is responsible for a huge number of deaths each year around the world, particularly in tropical nations. The dengue virus (DENV) causes dengue fever, which is spread by the female Aedes aegypti mosquito. We provide a mathematical model of dengue fever transmission through hospitalization with optimal management in this paper. Before being simulated in MATLAB, this optimum control problem is numerically resolved. Vaccination, pesticide use, and prevention are all examples of optimal control in this study. The simulation results demonstrate that dengue infection can be considerably reduced by vaccination, pesticide use, and prevention.Keywords: Dengue fever; Mathematical modelling; Optimal control. AbstrakDemam berdarah adalah salah satu penyakit paling menular di dunia, menurut data yang dikeluarkan oleh Organisasi Kesehatan Dunia pada tahun 2014. Penyakit ini menyebabkan banyak kematian setiap tahun di seluruh dunia, terutama di negara-negara tropis. Virus dengue (DENV) menyebabkan demam berdarah, yang disebarkan oleh nyamuk Aedes aegypti betina. Kami menyediakan model matematis penularan demam berdarah melalui rawat inap dengan penatalaksanaan optimal dalam makalah ini. Masalah kontrol optimal ini diselesaikan secara numerik sebelum disimulasikan di MATLAB. Vaksinasi, penggunaan pestisida, dan pencegahan merupakan contoh pengendalian yang optimal dalam penelitian ini. Hasil simulasi menunjukkan bahwa infeksi dengue dapat dikurangi dengan vaksinasi, penggunaan pestisida, dan pencegahan.Kata Kunci: Demam berdarah; Pemodelan matematika; Kontrol optimal. 2020MSC: 00A71, 92B05.
The Influence of A Cooperative Learning Model of Team Games Tournament (TGT) Type on Mathematic Critical Thinking Ability through A Scientific Approach to Statistical Materials Wati, Dita Fitria; Ilmayasinta, Nur; Prafianti, Rayinda Aseti
Proceedings International Conference on Education Innovation and Social Science 2024: Proceedings International Conference on Education Innovation and Social Science
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

This research was conducted on class This study is quantitative research. The data obtained in this research is from the initial test (pretest) and final test (posttest) by taking samples from class X3 as the experimental class and X5 as the control class. The data analysis techniques used are normality test, homogeneity test and hypothesis test. In the decision making criteria for the Mann Whitney U-Test, it is said that if the value of Asymp.Sig. (2-tailed) < 0.05 then