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All Journal Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Jurnal Edukasi: Kajian Ilmu Pendidikan Limits: Journal of Mathematics and Its Applications
Abadi Abadi
Unknown Affiliation
Arts Humanities Computer Science & IT Education Mathematics

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Teori Kestabilan dan Penerapannya untuk Memahami Keseimbangan Alam Semesta Abadi Abadi
Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Vol 1 No 1 (2017): Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai Islami )
Publisher : Mathematics Department

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (409.768 KB)

Abstract

Alam semesta yang terdiri dari berbagai elemen dalam berbagai ukuran bergerak menurut hukum-hukum termodinamika dan mengikuti hukum kekekalan energi. Pada prinsipnya, gerakan suatu benda langit dipengaruh oleh gaya tarik-menarik benda-benda yang berukuran jauh lebih besar yang ada di sekitar benda langit tersebut. Fenomena alam tersebut dapat dijelaskan melalui model matematika dalam bentuk persamaan diferensial dan sistem dinamik, khususnya teori Masalah Tiga Benda (The Three-body Problem). Paper ini membahas kestabilan alam semesta berdasarkan teori kestabilan sistem dinamik dikaitkan dengan hukum-hukum fisika serta bagaimana ayat-ayat Al Qur’an terkonfirmasi atau bahkan menginspirasi fenomena alam tersebut.
PENGEMBANGAN MODUL E-LEARNING BERBASIS WEB DALAM PEMBELAJARAN PENDIDIKAN PANCASILA DAN KEWARGANEGARAAN PADA MAHASISWA IKIP BUDI UTOMO MALANG Abadi Abadi
JURNAL EDUKASI: KAJIAN ILMU PENDIDIKAN Vol 4 No 2 (2018): Jurnal Edukasi: Kajian Ilmu Pendidikan.
Publisher : LPPM STKIP PGRI Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51836/je.v4i2.92

Abstract

Research on the development of e-learning module in learning Pendidikan Pancasila dan Kewarganegaraan has a goal where the e-learning module into an alternative web-based teaching materials that are easily accessible and used IKIP Budi Utomo Malang students. The e-learning module is web-based learning Pendidikan Pancasila dan Kewarganegaraan intended for students IKIP Budi Utomo Malang where subjects Pendidikan Pancasila dan Kewarganegaraan be compulsory subject as the formation of characters berbudiutama college students who are in harmony with the vision of campus IKIP Budi Utomo Malang that is "Became Higher Education university Education and Training excellence of superior, healthy and standard international in the year 2022 "where Berbudiutama in the vision as an effort to form a noble personality or berakhlaq noble (akhlaqul karimah). IKIP Budi Utomo Malang must carry and realize the values of usefulness, awareness, compliance, propriety and Indonesian. Implementation of research begins with Research and information, where Research and information is used to collect information about the needs of learning materials that are easily accessible by students with the sophistication of IT. Then proceed to the ADDIE model. The result of research of the development of web-based e-learning module in learning Pendidikan Pancasila dan Kewarganegaraan to improve the character of good students of IKIP Budi Utomo Malang.
Analisis Interaksi Populasi Hare dan Lynx Menggunakan Model Lotka-Volterra dengan Menerapkan Pertumbuhan Logistik dan Respon Fungsional Holling Tipe I dan II Nabila Agatha Parsa; Abadi Abadi
Limits: Journal of Mathematics and Its Applications Vol. 23 No. 2 (2026): Limits: Journal of Mathematics and Its Applications Volume 23 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v23i2.9489

Abstract

This study discusses the modeling of hare and lynx population interactions using the Lotka–Volterra model, developed from real population data for both species from 1861–1880 (source: Hudson Bay Company/GitHub). This study uses two models: Model I, which applies logistic growth to the prey population (hare) with a Holling type I functional response, and Model II, which applies logistic growth to the prey population (hare) with a Holling type II functional response. The use of two models in this study aims to determine which model better represents the interaction between prey and predator. Both models are analyzed for their existence and stability of solutions. Furthermore, the model parameters, namely ?, the intrinsic growth rate of the prey population, ?, the rate of decline of the prey population due to interactions with predators, ?, the natural mortality rate of the predator population, d, the energy conversion efficiency from predation, and ?, the environmental carrying capacity, are estimated using two methods, namely Least Square Estimation (LSE) and Maximum Likelihood Estimation (MLE). The accuracy of both methods is assessed by comparing their total MSE values. The estimated parameter values ​​of both models with the smallest total MSE are used to determine numerical solutions for both models, which yield time series of hare and lynx populations. Comparison of the real data with numerical solutions from two models with different functional responses indicates that both models are relatively capable of representing the population dynamics of lynx and hares. However, the comparison results cannot conclude which model more realistically represents the dynamics of both populations simultaneously.
Co-Authors Nabila Agatha Parsa