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Luan, Faustianus
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Journal : Journal of Mathematics Theory and Applications

 1 
ANALISIS KESTABILAN MODEL MATEMATIKA KECANDUAN ALKOHOL TIPE SDAR Sanit, Giovani; Obe, Leonardus; Dethan, Nugraha; Luan, Faustianus
Journal of Mathematics Theory and Applications Vol. 4 No. 1 (2025): Edisi Oktober 2025
Publisher : Program Studi Matematika, Universitas Timor

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Alcohol is a psychoactive substance that is addictive. Psychoactive substances are a class of substances that act selectively, especially on the brain, which can cause changes in a person's behavior, emotions, cognition, perception and consciousness. Alcohol is an addictive substance that can cause addiction and dependence. Alcohol addiction is a condition when a person experiences an addiction to alcohol and is difficult to control until he becomes dependent. Alcohol addiction occurs due to consuming too much alcohol so that the level is sufficient to cause mental changes and experience a sensation of satisfaction when consumed. The habit of consuming alcohol for teenagers begins due to a lack of knowledge and invitations, persuasion and seduction from friends which make a teenager want to try consuming alcohol. After getting to know and feel the sensation of consuming alcohol, a teenager gradually begins to fall into the world of alcohol and begins to increase his consumption due to the free social environment among teenagers. This research aims to build a mathematical model of SDAR type alcohol addiction. Based on the research results, two equilibrium points were obtained, namely the equilibrium point free from alcohol addiction and will be stable when and the equilibrium point where there is alcohol addiction and will be stable when . The simulation results were observed in two conditions, namely when and the value was obtained, meaning that the rate of movement from the population of teenagers who tried to consume alcohol to alcohol addiction was still small, so that teenagers who Alcohol addiction will decrease until alcoholics will disappear from the population over time. Then when and the value is obtained, meaning that the rate of movement from the population of teenagers who try to consume alcohol to alcohol addiction is increasing until there will be more and more alcoholics and will increase in the population as along the time.
PEMODELAN MATEMATIKA DAN SIMULASI PENYEBARAN PERILAKU MEROKOK TERHADAP LAKI-LAKI DENGAN MEMPERHATIKAN FAKTOR LINGKUNGAN PERTEMANAN Lopena, Maria Redegundis; Luan, Faustianus; Obe, Leonardus; Allung Blegur, Fried
Journal of Mathematics Theory and Applications Vol. 4 No. 1 (2025): Edisi Oktober 2025
Publisher : Program Studi Matematika, Universitas Timor

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Rokok adalah hasil olahan tembakau yang digulung/dilinting dengan kertas baik menggunakan tangan atau mesin. Perilaku merokok merupakan suatu aktivitas membakar tembakau, menghisap lalu menghembuskan asapnya. Merokok telah diketahui menjadi faktor resiko karena mengandung zat-zat kimia yang berdampak buruk bagi kesehatan. Matematika merupakan salah satu ilmu yang dapat menganalisa masalah yang terjadi dalam kehidupan dengan menggunakan pemodelan matematika. Salah satu masalah yang dapat dikaji dengan model matematika adalah penyebaran perilaku merokok. Penelitian ini mengkaji penyebaran perilaku merokok terhadap laki-laki dengan memperhatikan faktor lingkungan pertemanan. Model ini membagi menjadi empat subpopulasi yaitu: subpopulasi laki-laki yang berpotensi menjadi perokok , subpopulasi laki-laki yang hanya coba-coba merokok , subpopulasi laki-laki perokok aktif , subpopulasi laki-laki yang sembuh dari pengaruh rokok . Berdasarkan hasil penelitian diperoleh dua titik ekuilibrium yaitu titik ekuilibrium bebas merokok dan titik ekuilibrium endemik . Hasil simulasi titik ekuilibrium bebas merokok menunjukan bahwa nilai , maka perilaku merokok berkurang dan akan hilang seiring berjalannya waktu. Hasil simulasi titik ekuilibrium endemik menunjukan bahwa nilai , maka perilaku merokok akan meningkat dan setiap perokok dapat menularkan perilaku merokoknya kepada lebih dari satu perokok baru sehingga perilaku merokok semakin meluas.
OPTIMALISASI PRODUKSI AYAM BROILER DENGAN MENGGUNAKAN GOAL PROGRAMMING (Studi Kasus : Peternakan Mitra Sinar Jaya (MSJ) di Umalelu, Desa Aebubu Kecamatan Paga, Kabupaten Sikka) Nanci, Lindrawati Alberta; Luan, Faustianus; Sikas, Oktovianus; Allung Blegur, Fried
Journal of Mathematics Theory and Applications Vol. 4 No. 1 (2025): Edisi Oktober 2025
Publisher : Program Studi Matematika, Universitas Timor

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Abstract

Mitra Sinar Jaya's Broiler Chicken Farm in Umalelu, Aebubu Village, Paga District, Sikka Regency, is an example of a livestock business that seeks to increase production and profits. Owners face difficulties to optimize various production components, including DOC, feed, medicines, husks, labor, cage capacity, and electricity use. The purpose of this study is to optimize the use of production factors to achieve maximum production and maximize profits. To optimize production factors and maximize profits, a method is used, namely Goal Programming assisted by lingo software. Based on the results of this study, it shows that cage 1 is more efficient in achieving the production target than cage 2, so that resource allocation is more directed to cage 1. The needs of Broiler Chicken production factors are DOC input of 5154 heads, feed use of 7731 Kg, use of 52 sacks of husks, use of electricity 2072 KwH, use of medicines 5051 grams, labor force of 2 people, cage capacity of 5154 heads. With a profit reaching Rp98,584,400.00 per harvest cycle.
Co-Authors Allung Blegur, Fried Bano, Elinora N. Dethan, Nugraha Frengky Obe, Leonardus Liunokas, Ebenhaiser Lopena, Maria Redegundis Mada, Grandianus Nanci, Lindrawati Alberta Noviana Bria, Maria Nugraha K. F. Dethan Obe, Leonardus Oktovianus R. Sikas R. Sikas, Oktovianus Sanit, Giovani Sikas, Oktovianus R. Yoseph Pius Kurniawan Kelen