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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi NUMERICAL (Jurnal Matematika dan Pendidikan Matematika) Jurnal Abdimas PHB : Jurnal Pengabdian Masyarakat Progresif Humanis Brainstorming
Budi Priyo Prawoto
Universitas Negeri Surabaya
Automotive Engineering Computer Science & IT Mathematics Mechanical Engineering Public Health

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Peningkatan Kemampuan Guru dalam Menggunakan Wolfram Cloud dalam Pembelajaran Matematika Dwi Nur Yunianti; Raden Sulaiman; Yuliani Puji Astuti; Budi Priyo Prawoto; Rudianto Artiono
Jurnal Abdimas PHB : Jurnal Pengabdian Masyarakat Progresif Humanis Brainstorming Vol 5, No 2 (2022): Jurnal Abdimas PHB : Jurnal Pengabdian Masyarakat Progresif Humanis Brainstormin
Publisher : Politeknik Harapan Bersama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30591/japhb.v5i2.3103

Abstract

Penggunaan wolfram cloud diperlukan untuk mendukung keefektifan pembelajaran matematika selama masa pandemi Covid-19. Software ini dapat digunakan tidak hanya untuk menggambar grafik, visualisasi suara, menganalisa model bidang 3D tetapi juga dalam menyelesaikan permasalahan terkait kalkulus seperti persamaan kuadrat, turunan dan integral. Berdasarkan wawancara dengan beberapa guru matematika di MTsN 3 Jombang, 70% guru belum pernah menggunakan aplikasi wolfram cloud. Oleh karena itu mengingat pentingnya kompetensi guru dalam menguasai teknologi pada suatu pembelajaran maka kegiatan pelatihan wolfram cloud ini perlu diadakan. Berdasarkan hasil pre test dan posttest, terjadi peningkatan pemahaman tentang konsep persamaan kuadrat dan wolfram cloud yaitu dari rata-rata 41,4 menjadi 76,1. Selain itu, seluruh peserta pelatihan menyatakan kegiatan dapat menambah pemahaman terkait wolfram cloud dengan skor 4.46 (skala 5) dan dapat digunakan untuk pembelajaran matematika berbasis TPACK (Technological Pedagogical Content Knowledge) di sekolah dengan skor 4.23 (skala 5).
Stability Analysis of Monkeypox Transmission Model by Administering Vaccine Lailatuz Arromadhani; Budi Priyo Prawoto
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3481

Abstract

Monkeypox is an infectious disease that affects mammals, including humans and some primates. Monkeypox transmission can be prevented by administering vaccinations to the human population. This study aims to construct and analyze the monkeypox transmission model's stability with vaccination. There are six sub-populations: Vaccinated humans ( ), Susceptible humans ( ), Infected human , Recovered human , Susceptible animal , and Infected human . Several steps are literature study, formulating assumptions, constructing models, finding equilibrium points, searching for reproduction numbers by next-generation matrix, analyzing stability, and numerical simulations using Matlab R02023b. From the model, three equilibria are obtained: disease-free equilibrium points, first endemic equilibrium points, and second endemic equilibrium points. Disease-free equilibrium point will be asymptotically stable at the vaccination rates  and the animal transmission rate of the animal at the rate of . The first endemic equilibrium point ) will be stable for  and . The second endemic equilibrium point  will be stable for  and . Based on numerical simulation results, it is obtained that the higher the vaccination rate and the lower the transmission rate in animals, the faster the transmission of monkeypox infections.
Stability Analysis of Monkeypox Transmission Model by Administering Vaccine Lailatuz Arromadhani; Budi Priyo Prawoto
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3481

Abstract

Monkeypox is an infectious disease that affects mammals, including humans and some primates. Monkeypox transmission can be prevented by administering vaccinations to the human population. This study aims to construct and analyze the monkeypox transmission model's stability with vaccination. There are six sub-populations: Vaccinated humans ( ), Susceptible humans ( ), Infected human , Recovered human , Susceptible animal , and Infected human . Several steps are literature study, formulating assumptions, constructing models, finding equilibrium points, searching for reproduction numbers by next-generation matrix, analyzing stability, and numerical simulations using Matlab R02023b. From the model, three equilibria are obtained: disease-free equilibrium points, first endemic equilibrium points, and second endemic equilibrium points. Disease-free equilibrium point will be asymptotically stable at the vaccination rates  and the animal transmission rate of the animal at the rate of . The first endemic equilibrium point ) will be stable for  and . The second endemic equilibrium point  will be stable for  and . Based on numerical simulation results, it is obtained that the higher the vaccination rate and the lower the transmission rate in animals, the faster the transmission of monkeypox infections.
Transmission Dynamics of Dengue Disease Incorporating Treatment, Mass Awareness, and Wolbachia Intervention Rafika Nanda Agustina; Budi Priyo Prawoto
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.39026

Abstract

Dengue Hemorrhagic Fever (DHF) remains a serious global health threat, with transmission dynamics significantly influenced by vector control strategies and human behavior. This study constructs and analyzes a differential equation-based mathematical model to investigate dengue transmission dynamics by integrating three control strategies: medical treatment, mass awareness, and the release of Wolbachia-infected mosquitoes. The basic reproduction number (R0) is derived using the Next Generation Matrix (NGM) method as a threshold quantity for disease transmission. Simulation results demonstrate that when parameter values satisfy the condition R0 1, the system trajectories converge to the disease-free equilibrium, implying that the disease will be eliminated over time. Conversely, modifying parameters δ and p such that R0 1 results in system stability at the endemic equilibrium, indicating disease persistence within the population. This study concludes the importance of controlling these key parameters through integrated interventions to reduce the value of R0 to less than unity
Stability Analysis of Conventional and E-Cigarette Smokers Behavior Model with Saturation Effects Binti Mu'alafi Suryantini; Budi Priyo Prawoto
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.40109

Abstract

Smoking behavior is a harmful habit that poses serious health risks and has been regarded as a lifestyle by certain segments of society, regardless of age, gender, or social status. This study develops and analyzes a mathematical model of smoking behavior that classifies between conventional smokers and e-cigarette smokers, incorporates interaction with lung cancer patients, and considers the saturation effect on potential smokers as the number of smokers in the population increases. The method is determining assumptions to create a compartment diagram and construct the model. This model has four equilibrium points. The results show that when R01 1, R02 1, the smoker-free equilibrium point is asymptotically stable. When R01 1, R02 1, the endemic equilibrium point of e-cigarette smokers becomes stable. When R01 1 and R02 1, the endemic equilibrium point of conventional smokers becomes stable. Meanwhile, when R01 1 and R02 1, the endemic equilibrium point of coexistence of conventional and e-cigarette smokers becomes stable. Numerical simulations show that the intensity of smoking transmission affects the dynamics of the system. The lower the transmission rate by conventional and e-cigarette smokers, the faster the transition to a smoker-free population. The saturation effect plays a role in limiting excessive contact between potential smokers and smokers.
Co-Authors Binti Mu'alafi Suryantini Dwi Nur Yunianti Lailatuz Arromadhani Raden Sulaiman Rafika Nanda Agustina Rudianto Artiono Yuliani Puji Astuti