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All Journal Journal of Aceh Physics Society BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Zero : Jurnal Sains, Matematika, dan Terapan Jurnal Kreativitas PKM Media Publikasi Promosi Kesehatan Indonesia (MPPKI) Maqrizi : Journal of Economics and Islamic Economics Jurnal Natural Indonesian Journal of Applied Mathematics Transcendent Journal of Mathematics and Applications Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics-IJCSAM
Muhammad Ikhwan
Department Of Mathematics, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia
Religion Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Energy Engineering Environmental Science Health Professions Immunology & microbiology Mathematics Mechanical Engineering Medicine & Pharmacology Neuroscience Nursing Physics Public Health Social Sciences Transportation

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Optimal Control Application in Mathematical Model of Indonesian Coffee Export Tax Melyana, Nanda; Syahrini, intan; Munzir, Said
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 1 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i1.24344

Abstract

Coffee is one of Indonesia's largest non-oil and gas export commodities in the agricultural sector, significantly contributing to the country's export volume each year. Major export destinations include the United States, Egypt, Japan, Spain, and Malaysia. Approximately 67% of Indonesia's coffee production is exported, while the remaining 33% serves domestic demand. To optimize the economic values related to production, demand, export volume, and export tax revenue, a dynamic model was developed, followed by two simulations: one where the government controls with set economic targets and another without target controls on export tax. The model formulation involved estimating equations using the Two-Stage Least Squares (TSLS) method, which served as constraints within the optimal control model. The objective of the discrete dynamic optimal control function is to minimize a quadratic objective function that represents deviations from target values and optimal control levels. Simulations conducted with varying weights on both the control function and without governmental intervention showed that changes in the export tax have limited impact on final outcomes, likely due to the high export tax rate applied. It is recommended that, to achieve export tax values closer to desired targets, the government could consider adjusting export tariff policies by reducing the export tax rate, which would also encourage increased export volume. @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-469750017 -1073732485 9 0 511 0;}@font-face {font-family:Cambria; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1073743103 0 0 415 0;}@font-face {font-family:"Baskerville Old Face"; panose-1:2 2 6 2 8 5 5 2 3 3; mso-font-charset:77; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:3 0 0 0 1 0;}p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:EN-US;}p.IOP-CS-Abstract, li.IOP-CS-Abstract, div.IOP-CS-Abstract {mso-style-name:IOP-CS-Abstract; mso-style-unhide:no; mso-style-qformat:yes; mso-style-link:"IOP-CS-Abstract Char"; margin-top:0cm; margin-right:0cm; margin-bottom:18.0pt; margin-left:70.9pt; text-align:justify; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Cambria",serif; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-font-kerning:1.0pt; mso-ligatures:standardcontextual; mso-ansi-language:EN-GB;}span.IOP-CS-AbstractChar {mso-style-name:"IOP-CS-Abstract Char"; mso-style-unhide:no; mso-style-locked:yes; mso-style-link:IOP-CS-Abstract; mso-ansi-font-size:11.0pt; mso-bidi-font-size:11.0pt; font-family:"Cambria",serif; mso-ascii-font-family:Cambria; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Cambria; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-font-kerning:1.0pt; mso-ligatures:standardcontextual; mso-ansi-language:EN-GB;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt; mso-font-kerning:0pt; mso-ligatures:none; mso-ansi-language:EN-US;}div.WordSection1 {page:WordSection1;}
Determining The Selling Price of Thrift Using The Fuzzy Sugeno Method Radhiah, Radhiah; Rusdiana, Siti; Hamdi, Syaiful; Nurmaulidar, Nurmaulidar; Syahrini, Intan; Mahmudi, Mahmudi; Ikhwan, Muhammad
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v3i2.1598

Abstract

The use of thrift goods in life has the effect of saving and loving the environment. Many of these objects are difficult to degrade in nature and are nevertheless thought to have economic worth, for example used electronic equipment such as laptops. On the other hand, in today's classroom environment, laptops are quite important. Even the most recent computers with good features are fairly costly, thus used laptops are one answer to this. The seller's selling price usually only takes a few elements into account, therefore the price set does not always match the requirements. The aim of this paper is to apply the zero order Sugeno fuzzy approach to determine the selling price of old laptop. The system is built with characteristics such as laptop age, physical condition, RAM, new purchase price, and used selling price. The simulation findings suggest that fuzzy logic employing the zero-order Sugeno approach can be utilized to determine the selling price of old laptop while accounting for the affecting variables.
Application of Path Analysis Method on Student Financial Satisfaction Radhiah, Radhiah; Fitriaa, Siti Nada; Saputra, T Murdani; Ikhwan, Muhammad
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.1986

Abstract

OPTIMAL CONTROL ON MATHEMATICAL MODEL OF MPOX DISEASE SPREAD Ikhsani, Putri Nabila; Usman, Tarmizi; Ikhwan, Muhammad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss1pp477-490

Abstract

The Global emergency related to mpox infection outside endemic areas occurred in 2022. The United States is one of the areas that has been significantly impacted by the mpox virus. To reduce the number of infection cases, it is essential to control the spread of the disease. This can be achieved through optimal control. The intervention provided to combat the dynamic spread of mpox can be represented in the form of a mathematical model. This model comprises the animal population (SEI) and the human population (SEIR). Furthermore, the model that has been formed also divides humans into high-risk and low-risk populations. The classification is based on the risk of complications and death caused by infection. The model will be analyzed in order to ascertain its disease-free and endemic stability. The spread of mpox is then controlled by healthy living behaviors and antiviral administration to reduce the number of infection cases. To this end, numerical simulations were conducted to visualize the spread of mpox with and without the function of control variables so that optimal results were obtained. The results of the numerical simulation demonstrate that a reduction in infection cases by 64.62% can be achieved by implementing an average rate of healthy living behaviors of 93.15% and distributing an average rate of antivirus at 75.11%.
Komparasi Spline Kubik Not-a-Knot dan Natural pada Lompatan En-Nesyri Piala Dunia 2022 Delfia Hidayatul Fitri; Said Munzir; Muhammad Ikhwan
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 3 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 3 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i3.6456

Abstract

Abstrak Gerakan lompatan saat menyundul bola dalam sepak bola memiliki pola yang bervariasi tergantung kondisi. Penelitian ini bertujuan untuk menganalisis secara kinematika lompatan fenomenal En-Nesyri pada Piala Dunia 2022. Data diambil melalui teknik digitalisasi dari demonstrasi gerakan, kemudian dianalisis menggunakan interpolasi spline kubik dengan dua kondisi batas: natural dan not-a-knot. Objek penelitian adalah lompatan En-Nesyri yang mencapai 2,78 meter saat menyundul bola dalam pertandingan melawan Portugal. Hasil penelitian menunjukkan kinematika gerakan lompatan, mencakup posisi, kecepatan, dan percepatan. Selain itu, terdapat perbedaan antara interpolasi spline kubik dengan dua kondisi batas yang dibandingkan. Pada detik 1,5, posisi kepala mencapai ketinggian maksimum. Analisis menunjukkan bahwa spline kubik dengan kondisi batas not-a-knot lebih sesuai untuk memodelkan lompatan fenomenal yang tidak dimulai dari keadaan diam. Kata Kunci: kinematika, lompatan fenomenal, spline kubik natural, spline kubik not-a-knot Abstract The jumping motion when heading the ball in football varies depending on the conditions. This study aims to analyze the phenomenal jump of En-Nesyri at the 2022 World Cup from a kinematic perspective. The data was collected through digitization techniques from a demonstration of the jump and analyzed using cubic spline interpolation with two boundary conditions: natural and not-a-knot. The object of this study is En-Nesyri’s jump, which reached 2.78 meters when heading the ball during the match againts Portugal. The results show the kinematics of the jumping motion, including position, velocity, and acceleration. Additionally, differences between cubic spline interpolation with the two boundary conditions were observed. At 1.5 seconds, the head reaches its maximum height. The analysis indicates that the cubic spline with the not-a-knot boundary condition is more suitable for modeling phenomenal jump that do not start from a stationary position. Keywords: kinematics, phenomenal jump, cubic spline natural, cubic spline not-a-knot
Can Indonesia Eliminate Tuberculosis by 2030? A Deterministic Epidemic Model Approach Sasmita, Novi Reandy; Ramadani, Maya; Ikhwan, Muhammad; Rahayu, Latifah; Mardalena, Selvi; Suyanto, Suyanto; Safira, Nanda; Huy, Le Ngoc; Myint, Ohnmar
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 10, No 1 (2026): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v10i1.35252

Abstract

Indonesia, bearing the world’s second-highest tuberculosis (TB) burden, has mandated a national target to eliminate TB by 2030, aiming for an incidence rate of 65 per 100,000 population. This study aims not only to project future transmission dynamics but also to systematically explore the specific epidemiological barriers, namely, drug resistance and relapse mechanisms, that hinder achieving this goal. To address the heterogeneity of TB transmission, we developed a novel deterministic SVE3I3R model. This framework stratifies the population into vaccinated, latent Tuberculosis Infection (LTBI), and infectious compartments, explicitly distinguishing among Drug-Susceptible (DS-TB), Multidrug-Resistant (MDR-TB), and Extensively Drug-Resistant (XDR-TB) strains. The resulting system of ordinary differential equations was solved numerically using the fourth-order Runge-Kutta (RK4) method to ensure stability and accuracy in simulating long-term epidemiological trends from 2023 to 2030. Parameters were calibrated using national reports and literature specific to the Indonesian context. Projections indicate that Indonesia will miss the 2030 elimination target by a significant margin. The model forecasts a TB incidence rate of 321 per 100,000 population by 2030, nearly five times the national benchmark. The analysis reveals that failure to reach the target is mechanistically driven by a "relapse trap" among recovered individuals and an alarming exponential surge in resistant strains (MDR-TB and XDR-TB). These findings suggest that current control strategies are insufficient not merely in scale but in structure. Evidence-based policy must urgently shift from standard intervention to aggressive interruption of resistance pathways and enhanced management of the latent reservoir to prevent the projected demographic resurgence.
Cubic Spline Model for Kinematic Analysis of the Badminton Smash Movement Rahma Dhiyaa Sausan; Said Munzir; Vera Halfiani; Muhammad Ikhwan
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 11 No. 2 (2025)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v11i2.4346

Abstract

Smash is one of the most complex movements in badminton. Along with its development, quantitative analysis is needed to obtain the best smash movement. This research aims to analyze the smash movement kinematically through mathe matical means. The data in this study are primarily obtained through recording and digitizing data on the smash movement of one Aceh Province badminton athlete. The method used to analyze the data is the cubic spline method. This research produces smash movement kinematic data and analysis of translational and angular curves obtained using a cubic spline interpolation approach for three-dimensional coordinates. The kinematic aspects consisted of body segment position, body segment velocity and acceleration, also angular velocity and acceleration. The conclusion of this research is analysis of the best movement pattern to perform smash in badminton athletes can be conducted by analyzing the translational and angular curves. Those curves obtained by using the cubic spline interpolation approach for position coordinates in three dimensional space.
Solusi Soliton On-Site Persamaan Saturable Discrete Nonlinear Schrödinger Menggunakan Metode Newton Galang Vinarky; Tarmizi Usman; Muhammad Ikhwan; Harish Abdillah Mardi
Limits: Journal of Mathematics and Its Applications Vol. 23 No. 1 (2026): Limits: Journal of Mathematics and Its Applications Volume 23 Nomor 1 Edisi Ap
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v23i1.8868

Abstract

The discrete nonlinear Schrödinger equation is a differential equation that describes wave propagation in a discrete lattice. This equation has solutions with very interesting characteristics, namely solitons. Two types of solitons that can be obtained from this differential equation are on-site and inter-site solitons. The equation that is the focus of this study is the discrete nonlinear Schrödinger equation with saturable type nonlinearity. The on-site soliton solution in this study is obtained by substituting an ansatz into the equation to obtain a stationary equation. This stationary equation is then solved using Newton's method. The solution is then analyzed for stability by adding a perturbation term to the solution ansatz. This study aims to find the on-site soliton solution, analyze the effect of coupling parameters, nonlinearity, and trapping potential on the soliton profile, and analyze the stability of each solution obtained by the linear perturbation technique. The results show that variations in the values ​​of the coupling parameters and the given nonlinearity and trapping potential affect the on-site soliton profile, both in terms of profile width and soliton amplitude. All obtained solutions are declared stable based on linear stability analysis.
A Stochastic Projection for Tuberculosis Elimination in Indonesia by 2030 Novi Reandy Sasmita; Maya Ramadani; Muhammad Ikhwan; Munawwarah Munawwarah; Latifah Rahayu; Selvi Mardalena; M. Ischaq Nabil Asshiddiqi; Suyanto Suyanto; Nanda Safira
Media Publikasi Promosi Kesehatan Indonesia (MPPKI) Vol. 8 No. 11 (2025)
Publisher : Fakultas Kesehatan Masyarakat, Universitas Muhammadiyah Palu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56338/mppki.v8i11.8548

Abstract

Introduction: Indonesia, with the world's second-highest tuberculosis (TB) burden, has targeted TB elimination (65 cases per 100,000) by 2030. This study aimed to evaluate the feasibility of achieving this goal by projecting TB incidence trends using a stochastic epidemic model that accounts for the uncertainties inherent in TB transmission dynamics in latent TB infections. Methods: The initial values for state variables and parameters were derived from a comprehensive literature review and calibrated against publicly available epidemiological data from the Indonesian Ministry of Health reports from 2018-2022. A Susceptible, Vaccinated, Three Exposed, Three Infectious, Recovered (SVE3I3R) model was developed, incorporating Gaussian noise into the exposed compartments to simulate real-world unpredictability in latent infection dynamics. The model was solved numerically using the fourth-order Runge-Kutta (RK4) method in R software. Key outcomes measured were the projected incidence of drug-susceptible TB (DS-TB), multidrug-resistant TB (MDR-TB), and extensively drug-resistant TB (XDR-TB). Results: Model projections suggest that the overall TB incidence rate will fall from 387 cases per 100,000 people in 2023 to a projected 320 cases per 100,000 by 2030. However, this remains far above the national target. While DS-TB cases decreased to 730,283, MDR-TB and XDR-TB cases were projected to surge dramatically to 120,939 cases and 104,651 individuals, respectively. The estimation signals a critical shift in the epidemic's profile. Conclusions: Indonesia is not on track to achieve its 2030 TB elimination target under current interventions. The alarming rise of drug-resistant TB necessitates an urgent, aggressive, and multifaceted policy response. This study underscores the critical value of incorporating stochasticity into epidemiological models for more realistic forecasting and public health planning in high-burden settings.
Bifurcation Analysis of Cubic Type Nonlinear Schrödinger Equation with Dispersion and Attenuation in Optical Fiber Rika Saputri; Marwan Ramli; Muhammad Ikhwan; Harish Abdillah Mardi
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.25440

Abstract

This study investigates the bifurcation of the cubic Nonlinear Schrödinger Equation (NLSE) in optical fiber media by considering dispersion and attenuation effects. The NLSE models light pulse propagation, with γ representing the strength of nonlinearity. Analytical derivations yield stationary solutions, while numerical simulations using the Newton-Raphson method and eigenvalue analysis verify stability. Results show a critical bifurcation at γ=0: for γ ≤ 0, the system exhibits one unstable fixed point, whereas for γ > 0, three fixed points appear, with simulations confirming that only the two nontrivial branches are stable. This corresponds to a pitchfork bifurcation and a stability transition governed primarily by nonlinearity. Although attenuation is included in the model, its contribution is negligible, indicating that bifurcation behavior is dominated by γ. Compared with previous studies focusing on dispersion-only NLSE or fractional/extended models, this work highlights the decisive role of nonlinearity in determining fixed points and stability in optical fibers.
Co-Authors Adami, Farhan Afdhal Afdhal Ariyati, Nadlia Basri A. Gani, Basri A. Berwi Fazri Pamudi Delfia Hidayatul Fitri Eka Oktarina Riani Erlangga Galih Zulva Nugroho Fitriaa, Siti Nada Galang Vinarky Hamdi, Syaiful Harish Abdillah Mardi Harish Abdillah Mardi Huy, Le Ngoc Ikhsani, Putri Nabila Latifah Rahayu Lutfan Milzam, Ahmad M. Ischaq Nabil Asshiddiqi MAGHFIRAH, AFIATUN Mahmudi Mahmudi Mardalena, Selvi Mardlijah - Marwan Ramli Marwan Ramli Maya Ramadani Mohd Iqbal Muttaqin Munawwarah Munawwarah Munzir, Said Myint, Ohnmar Nanda Safira Nanda Safira Nissa Fiska Novi Reandy Sasmita Nurmaulidar Nurmaulidar Nurmaulidar Nurmaulidar Nurmaulidar Nurmaulidar Oky Askal RAHAYU, LATIFAH Rahma Dhiyaa Sausan Rajul Hakim Ramadani, Maya Rika Saputri Rizki Wan Oktabina Said Munzir Said Munzir Said Munzir Said Munzir Saiful Amri Saiful Kamal Saputra, T Murdani Sasmita, Novi Reandy Selvi Mardalena Siti Rusdiana Sukamto, Ika Sumiyarsi Suyanto Suyanto Suyanto Suyanto Syahrini, Intan Syahrini, intan Tarmizi Usman Usman, Tarmizi Vera Halfiani Winny Dian Safitri Wiwit Aditama Yeni Rimadeni Zulfataya, Muhammad