Article Per Year (5 Year)
p-Index From 2020 - 2025
0.408
P-Index
This Author published in this journals
All Journal Jurnal Matematika Integratif
Firdaus, Hamidah 'Alina
Unknown Affiliation
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mechanical Engineering Transportation

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

 1 
Kontrol Optimal Intervensi dalam Model Matematika SEIRS Penyebaran Penyakit Pneumonia pada Balita Firdaus, Hamidah 'Alina; Aisyah, Ranti Rivani; Anggriani, Nursanti; Sylviani, Sisilia
Jurnal Matematika Integratif Vol 20, No 1: April 2024
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v20.n1.54561.89-99

Abstract

Penyakit pneumonia menjadi salah satu penyebab utama kasus kematian pada anak, khususnya anak usia rentang 1-5 tahun (balita). Sehingga, dibutuhkan suatu model matematika yang dapat digunakan untuk mengetahui dinamika penyebaran penyakit pneumonia pada balita. Selain itu, diperlukan sebuah kontrol optimal vaksinasi dan pengobatan sebagai upaya dalam menekan penyebaran penyakit pneumonia, tujuannya adalah meminimumkan jumlah individu terinfeksi penyakit pneumonia sekaligus meminimumkan biaya vaksinasi dan pengobatan. Prinsip Maksimum Pontryagin digunakan dalam menentukan kontrol optimal dari masing-masing kontrol. Hasil menunjukkan bahwa jumlah individu yang terinfeksi menurun secara signifikan, dengan demikian penyebaran penyakit pneumonia dapat ditekan secara optimal.
Optimal Control of Vaccination and Treatment of Varicella Disease (Chicken Pox) Aisyah, Ranti Rivani; Firdaus, Hamidah 'Alina; Napitupulu, Herlina; Anggriani, Nursanti
Jurnal Matematika Integratif Vol 20, No 2: Oktober 2024
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v20.n2.56410.197-208

Abstract

Varicella, or chickenpox, is an infectious disease that can affect anyone, especially children under the age of 10. Vaccination and medication are key measures in reducing the number of infections and the risk of Varicella infection. A mathematical SEITR model has been developed to describe this disease mathematically. Stability of the equilibrium points and the basic reproduction number of the developed model were then determined. Control was also applied to vaccination and medication with the aim of minimizing the infected population and the costs of vaccination and treatment. These control measures were incorporated into the SEITR model. Finally, Pontryagin’s Maximum Principle was used in the optimization process. This optimal control process significantly reduced the number of infected individuals, thereby effectively controlling the spread of Varicella.
Co-Authors Aisyah, Ranti Rivani Herlina Napitupulu Nursanti Anggriani Sisilia Sylviani