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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan JMM (Jurnal Masyarakat Mandiri) JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Matematika UNAND MES: Journal of Mathematics Education and Science Journal of Science and Technology Mathematics and Applications (MAp) Journal J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat)
La Ode Sabran
Program Studi Matematika, Universitas Islam Negeri Imam Bonjol Padang
Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL FOR STUNTING WITH NUTRITION AND EDUCATION INTERVENTIONS Sabran, La Ode; Annur, Lathifah; Ratu Laura, Athisa
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2317-2334

Abstract

This study presents a mathematical model that analyzes the impact of nutrition and education interventions on stunting prevalence. Nutritional interventions are carried out on toddlers indicated to be stunted and toddlers who are healthy but susceptible to stunting. Meanwhile, education is given to the toddler's mother compartment. The model categorizes the toddler population into four compartments: susceptible, stunting-indicated, permanently stunted, and non-stunted. Similarly, the maternal population is categorized into three compartments: susceptible mothers, mothers exhibiting poor parenting practices, and educated mothers. The model's equilibrium point comprises two distinct states: a stable stunting-free equilibrium point when the basic reproduction number (R0) is less than one and a stable stunting-endemic equilibrium point when R0 is more significant than one. Sensitivity analysis reveals that the parameters that significantly influence the reduction or increase in stunting cases are the rate of nutritional intervention for children and the intensity of education for mothers. Numerical simulations demonstrate that implementing nutritional intervention activities and continuous education programs can effectively eliminate stunting cases in the population. The simulation results show a high number of stunting cases, reaching 161,566 cases in the population, due to poor education and poor nutritional interventions. In contrast, education programs and effective nutritional interventions eliminate stunting from the population. However, it takes longer.
Numerical Solution of the Advection-Diffusion Equation Using the Radial Basis Function Sabran, La Ode; Syafi'i, Mohamad
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 4 (2023): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i4.16239

Abstract

The advection-diffusion equation is a form of partial differential equation. This equation is also known as the transport equation. The purpose of this research is to approximatio the solution of advection-diffusion equation  by numerical approach using radial basis functions network. The approximation is performed by using the multiquadrics basis function. The simulation of the numerical solution is run with the help of the Matlab program. The one-dimensional advection-diffusion equation used is  ∂u/∂t+C ∂u/∂x=D (∂^2 u)/(∂x^2 )  with given initial conditions, boundary conditions, and exact solution u(x,t). The numerical solution approximation using the radial basis function network with dt=0.004 and dx=0.02 produces the value at each discretization point is close to the exact solution. In this study, the smallest error between numerical solution and the exact solution is obtained 2.18339 ×〖10〗^(-10).
Implementasi Kontrol Optimal pada Model Predator-Prey antara Populasi Padi, Tikus, dan Burung Hantu Cici Ramadani; La Ode Sabran; Suci Yefri Fadhilah; Ezhari Asfa'ani
JOSTECH Journal of Science and Technology Vol 6, No 1: Maret 2026
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v6i1.13470

Abstract

Padi merupakan komoditas pangan utama di Indonesia yang produksinya menurun akibat serangan hama tikus. Pendekatan ekologis melalui pemanfaatan burung hantu sebagai predator alami menjadi alternatif pengendalian hama tikus yang ramah lingkungan dan dapat meningkatkan produksi padi. Penelitian ini membangun model matematika predator–prey tiga populasi dengan padi sebagai prey, tikus sebagai predator tingkat I, dan burung hantu sebagai predator tingkat II dengan Allee Effect. Kontrol optimal berupa perangkap tikus diterapkan menggunakan Prinsip Maksimum Pontryagin. Hasil analisis model menunjukkan terdapat lima titik ekuilibrium dari model yang dihasilkan, dengan dua titik ekuilibrium dapat stabil lokal pada syarat tertentu. Hasil simulasi numerik memperlihatkan bahwa kontrol efektif menurunkan populasi tikus dan meningkatkan populasi padi. Kata Kunci: Model Predator–Prey; Kontrol Optimal; Allee Effect; Padi; Tikus; Burung Hantu.
Co-Authors Amalina Amalina Andri Rahadyan Annur, Lathifah Asrul Sani Cici Ramadani Darvi Mailisa Putri Dina Fakhriyana Dona Katarina Ezhari Asfa'ani Hasibuan, Lilis Harianti Indra Kurniawan La Ode Nashar Laura, Athisa Ratu Lin Suciani Astuti Mahdia, Hayatul Miftahul Jannah Mohamad Syafi’i Muhammad Kabil Djafar Muslihatul Hidayah Ratu Laura, Athisa Reihani Jemila Nurbai Rianjaya, Ilham Dangu Ryan Kurniawan Siti Helmyati Sitti Fatmah Nuraini Suci Yefri Fadhilah Syafi'i, Mohamad Syarto Musthofa Tedy Machmud