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All Journal Jurnal Sains dan Seni ITS UNEJ e-Proceeding BAREKENG: Jurnal Ilmu Matematika dan Terapan ASRO JOURNAL - STTAL Sewagati Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics-IJCSAM
Chairul Imron, Chairul
Departemen Matematika, Institut Teknologi Sepuluh Nopember (ITS)
Arts Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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ANALYSIS AND OPTIMAL CONTROL OF TUBERCULOSIS DISEASE SPREAD MODEL WITH VACCINATION AND CASE FINDING CONTROL (CASE STUDY: SURABAYA CITY) Maulina, Dinda Anisa'; Imron, Chairul
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 2 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss2pp1189-1200

Abstract

Tuberculosis is a contagious disease that infects humans. It is caused by the bacterium Mycobacterium tuberculosis (M.tb). It is the largest infectious disease in the world and has become a major global health problem. Therefore, efforts are being made to control the spread of tuberculosis disease through vaccination and case finding, with the aim of reducing the population of latently infected and actively infected individuals. This study discusses the mathematical model of tuberculosis disease spread, disease-free and endemic equilibrium points, and stability analysis around the equilibrium points. Then, using Pontryagin's minimum principle, the optimal control problem is solved numerically by the 4th-order Runge-Kutta method. Based on the analysis and simulation results, the system is asymptotically stable around the disease-free and endemic equilibrium points. Furthermore, optimal control in the form of vaccination of susceptible individuals is required to further suppress the rate of change of susceptible individuals into latent individuals, while control in the form of case finding on latently infected individuals is required until the 9th year to minimize the population size, while on actively infected individuals, it is required until the 8th year to minimize the population size. Providing optimal control resulted in a 100% increase in the susceptible population and a 100% reduction in the latent and infected populations.
Mathematical Modeling of Pressure on Cylindrical Ellipse using Side by Site Configuration Chairul Imron; Mahmud Yunus
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 1 No. 1 (2015)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

The application of the concept of fluid is often used to solve problems in the daily life. One of them is the problem of fluid around an elliptical cylinder. This study aims to solve the problems of the fluid around two elliptical cylinder configuration with side-by-side using the Navier-Stokes equations. Navier-Stokes equations–incompressible, viscous and unsteady-are solved using finite difference method staggered grid and SIMPLE (Semi Implicit Method for Pressure-Linked Equation) algorithms. Finite difference method is used to complete the grid arrangement, whereas the SIMPLE algorithm is used to obtain components of velocity and pressure value. Results of this study are the pressure value based on fluid flow profile and a mathematical model which received an elliptical cylinder pressure. Profile of fluid flow is simulated by varying the Reynolds number of 100, 1000, 7000, and 10000 as well as variations in the distance between the cylinder with a ratio of 2 <= S/a <= 6 where L is the distance between the cylinder and a is the minor axis of the cylinder ellipse. Then the pressure is calculated based on the value of the received cylinder pressure components. After obtaining the pressure value, then we create a mathematical model of the stresses imposed on the elliptical cylinder.
Numerical Simulation of Fluid Flow Around Circular Cylinder and Three Passive Controls to Reduce Drag Coefficient at Re=500 Chairul Imron; Amirul Hakam; Basuki Widodo; Tri Yogi Yuwono
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 6 No. 1 (2020)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Numerical experiments and simulations of fluid flow through the outer surface of a circular cylinder and three passive controls have been investigated to determine the proper configuration of three passive controls in reducing the drag coefficient. One of passive controls is placed in front of the cylinder with distance ratio (S:D) = 2:4 and the other two passive controls are placed behind the cylinder with distance ratio (T:D) = 1:6;1:8. The angle between two passive controls behind the cylinder are a =30 deg;60 deg;90 deg;120 deg. The Navier-Stokes equations for incompressible, viscous and unsteady fluid flows is solved based on SIMPLE (Semi-Implicit for Pressure-Linked Equations) algorithms and discretized using finite-difference method. The difference in a affects the reduction in the drag coefficient significantly. The best configuration of three passive controls design is one of passive controls put at the distance ratio S=D = 2:4;T=D = 1:6 and a = 60. This configuration can reduce the drag coefficient optimally to 21.2109%.
Optimal Control of the Spread of Dengue Fever by Controlling the Vectors Growth Affected by Climate Change and Treatment Basuki Widodo; Nur Asiyah; Aulia Rahma; Kamiran Kamiran; Chairul Imron
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 10 No. 2 (2024)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v10i2.4586

Abstract

Dengue Hemorrhagic Fever (DHF) is an infectious disease caused by the dengue virus and is spread through the bite of an adult female Aedes aegypti mosquito, as a vector (disease-carrying animal), to humans. This disease is still a major health problem in tropical and subtropical regions. Indonesia is reported as the 2nd highest country among 30 other endemic countries. Warm temperatures during the rainy season are ideal conditions for mosquitoes to lay eggs optimally, increasing egg maturity, and shortening the virus incubation period. This has an impact on increasing the number of mosquitoes and the risk of disease transmission. In this study, control of DHF was carried out by controlling the growth of vectors in the egg and adult phases of mosquitoes, which were influenced by rainfall and air temperature, as well as the treatment of infected humans. Before carrying out the control, stability analysis around the equilibrium point is first conducted. Next, the numerical solution is obtained using the Runge-Kutta method of order 4 with the help of MATLAB software. The results of the analysis show that, based on the optimal control effect in the form of mosquito egg death (k1), adult mosquito death (k2), and human treatment (k3), in the cities of Pekanbaru and Solok, there is not much difference between the two. However, there is a slight difference in the increase in the human population that is susceptible to disease.
Effect of Major Axis Length to the Pressure on Ellips Chairul Imron; Erna Apriliani
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 2 No. 3 (2016)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Fluid concept has been widely applied to solve problems of daily life, one example is the problem of fluid flow around an elliptical cylinder. We have a goal to solve the problem of fluid flow through three cylindrical ellipses using side-by-side configuration. The equation we use to solve the problem is the Navier-Stokes equations, incompressible, viscous and unsteady. We use the finite difference method with a uniform grid and SIMPLE (Semi Implicit Method for Pressure-Linked Equations) algorithms. Results of this study were used to obtain the amount of pressure that is received by an ellipse in the middle and to construct mathematical models. The profile of the fluid flow is simulated by varying the length of the major axis of the ellipse in the middle where K/5a = 1.0; 1.1; 1.2; 1.3; 1.4 and 1.5 and Reynolds Re = 3.000 and the distance between the ellipse is 3.
SUPER EDGE-MAGIC PADA GRAF YANG MEMUAT BEBERAPA CYCLE GANJIL Suhud Wahyudi; Chairul Imron
Limits: Journal of Mathematics and Its Applications Vol. 6 No. 1 (2009): Limits: Journal of Mathematics and Its Applications Volume 6 Nomor 1 Edisi Mei
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Pengambilan keputusan merupakan hal yang sangat penting bagi manusia untuk mengestimasi langkah apa yang harus diambil saat ini atau di masa yang akan datang. Metode yang banyak diaplikasikan dalam pengambilan keputusan adalah metode inferensi Bayesian dipadukan dengan teknik Maximum A Posteriori (MAP). Kombinasi metode teknik ini memiliki keterbatasan ketika dihadapkan pada permasalahan-permasalahan yang bersifat multi-hipotesa multiindikasi, sehingga digunakan metode Maximum Score of the Total Sum of Joint Probabilities (MSJP) dalam pengambilan keputusan. Salah satu studi kasus yang mendukung dalam pengaplikasian metode MSJP yaitu mengenai ekspresi interaksi gen-gen dari waktu ke waktu. Dalam penelitian ini menggunakan data yeast cell cycle sebagai studi kasus mengenai fenomena ekspresi gen. Data gen yeast yang diteliti adalah yeast tipe elu dengan 25 gen dan 36 gen dalam 18 deretan waktu.
CRITICAL SET OF EDGE MAGIC TOTAL LABELING OF EXPANDING CYCLE GRAPH * Chairul Imron; Suhud Wahyudi
Limits: Journal of Mathematics and Its Applications Vol. 7 No. 2 (2010): Limits: Journal of Mathematics and Its Applications Volume 7 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

This paper discusses about graph labeling. We will nd edge magic total labeling of cycle and expanding cycle graph. In the nal, we investigate the critical set of edge magic total labeling on cycle and expanding cycle graph.
SOLUSI NUMERIK DARI PERSAMAAN NAVIER-STOKES Chairul Imron; Suhariningsih; B. Widodo; T. Yuwono
Limits: Journal of Mathematics and Its Applications Vol. 8 No. 2 (2011): Limits: Journal of Mathematics and Its Applications Volume 8 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Interaksi antara aliran fluida dengan suatu benda sering ditemui di alam. Aliran laminar maupun turbulen yang melewati suatu permukaan benda, maka partikel-partikel di sekitar permukaan bergerak lambat akibat gaya viskos, sehingga kecepatan partikel tersebut relatif nol. Pada paper ini akan mengkaji solusi numerik untuk menyelesaikan persamaan Navier-Stokes yang diterapkan pada persegi sirkuler yang dialiri fluida.
ANALISIS MODEL LINTASAN NANOPARTIKEL MAGNET PADA PEMBULUH DARAH DI DALAM MEDAN MAGNET DENGAN METODE RUNGE KUTTA ORDE KE-EMPAT Tahiyatul Asfihani; Hesti Hastuti; Chairul Imron
Limits: Journal of Mathematics and Its Applications Vol. 13 No. 1 (2016): Limits: Journal of Mathematics and Its Applications Volume 13 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Nanopartikel magnetik memiliki peran penting dalam dunia kedokteran modern yaitu sebagai obat yang ditargetkan oleh magnet. Obat yang ditargetkan oleh magnet tersebut disuntikan kedalam tubuh kemudian akan dibawa oleh darah mengalir ke seluruh tubuh. Untuk memperoleh hasil yang lebih optimal, diperlukan suatu model lintasan nanopartikel magnet didalam embuluh darah. Sistem tersebut dibantu dengan medan magnet yang diposisikan diluar tubuh. Dengan menggunakan metode Runge-kutta, diperoleh jarak antara pusat pembuluh darah dengan pusat medan magnet yang lebih tepat adalah 0.025 m dimana posisi lintasannya menuju kearah pusat medan magnet yaitu nol (z/Rm=0).
Co-Authors Ahlan Hamami Ali Musyafa Andi Rahmadiansah Ashiddiqi, Muhammad Roy Asyari, Muhammad Khamim Aulia Rahma B. Widodo Basuki Basuki Basuki Widodo Basuki Widodo Damayanti, Erlyana Trie Dieky Adzkiya Eko Krisdiono Erna Apriliani Fahim, Kistosil Hakam, Amirul Harsono Harsono Hesti Hastuti Hesti Hastuti Hudaningrum, Laila Puji Iis Herisman Imam Abadi Jason Otniel Dharmanta Kamiran Kamiran Maulina, Dinda Anisa' Mufid, Muhammad Syifa'ul Mufid, Muhammad Syifa’ul Norhalimah, Norhalimah Nur Asiyah Oktavia, Yunaini Istivani Pamela, Eirene Juwita Ningtyas Raafi’u, Brian Rina Sahaya Ruli Yuda Baha&#039;ullah Setianingtias, Regina Putri Soleha Soleha Soleha Subiono Subiono - Suhariningsih Suhud Wahyudi T. Yuwono Tahiyatul Asfihani Tahiyatul Asfihani Tri Rahayuningsih Tri Yogi Yuwono Triyogi Yuwono Triyogi Yuwono Usadha, I Gst Ngr Rai Yunus, Mahmud