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All Journal Martabe : Jurnal Pengabdian Kepada Masyarakat Transcendent Journal of Mathematics and Applications
Samosir, Restika
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Agriculture, Biological Sciences & Forestry Arts Humanities Computer Science & IT Economics, Econometrics & Finance Education Environmental Science Mathematics Physics Social Sciences

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Kontrol Optimal pada Penyebaran Penyakit Campak Model SIR Samosir, Restika; Sihombing, Yosina Arni; Sumardi, Sitti Rosnafian; Hisyam, Muhammad
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.42161

Abstract

The SIR model is a model used to group populations into 3 parts, namely susceptible or a subpopulation of individuals who are susceptible to disease, infected or a subpopulation of individuals who are infected and can transmit the disease and recovered or a subpopulation of individuals who have recovered from the disease. Measles is usually treated without a vaccine, so the disease is often found in the community. Giving the right and balanced vaccine will get results that are balanced with what is given. In this research, we develop a SIR model with additional controls. Where the control in this model is vaccination given to subpopulations S and I, so that the recovered subpopulation experiences an increase, because the number of subpopulation I decreases. The method used in this research consists of several steps, namely forming a SIR model which is formed in optimal control and determining the objective function. Next, solve the optimal control problem, which consists of several stages, namely forming the Hamiltonian function and finding states and co-states. Based on the research results, it is concluded that optimal control of the SIR model is obtained by state and co-state equations. Where this model is the result of reducing the Hamiltonian to obtain optimal control in the SIR model.
WIRAUSAHA: BOLU BUAH MERAH BERNILAI GIZI TINGGI Samosir, Restika; Langowuyo, Agustinus; Susanty Simaremare, Eva
Martabe : Jurnal Pengabdian Kepada Masyarakat Vol 5, No 4 (2022): Martabe : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Muhammadiyah Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31604/jpm.v5i4.1555-1559

Abstract

Bolu merupakan kue yang terbuat dari tepung terigu dengan tambahan telur, gula, pewarna makanan dan bahan tambahan lainnya. Bolu saat ini sudah sangat variatif seperti bolu pisang, bolu keju, bolu coklat, dan dapat dikombinasi dengan buah merah. Buah merah kaya akan senyawa kimia yang bermanfaat buat kesehatan sehingga sangat bermanfaat. Metode yang digunakan dalam kegiatan pengabdian kewirausahaan ini diawali dengan tahap persiapan meliputi persiapan bahan dan alat, produksi bolu buah merah , dan pemasaran. Pemasaran dilakukan sesuai dengan protokol kesehatan dengan promosi menggunakan metode web dan media sosial seperti aplikasi Instagram, WhatsApp, Facebook dan YouTube, setelah itu pesanan dikirim ke pelangganSelain itu digunakan  metode pengenalan produk dengan cara edukasi lewat video. Hasil yang diperoleh dari kegiatan wirausaha ini adalah membuka peluang bisnis bagi masyarakat umum dan mahasiswa. Dari kegiatan ini, keuntungan dari hasil penjualan telah mencapai 30 kotak dalam waktu 2 bulan dengan keuntungan Rp1.000.000 , yang artinya bolu buah merah ini layak untuk bersaing dengan produk makanan lain di pasaran.
Co-Authors Langowuyo, Agustinus Muhammad Hisyam Sihombing, Yosina Arni Sumardi, Sitti Rosnafian