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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Jurnal Fisika FLUX Jurnal Matematika Sains dan Teknologi Desimal: Jurnal Matematika MEDIA BINA ILMIAH BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Tropical Wetland Journal Bubungan Tinggi: Jurnal Pengabdian Masyarakat Jurnal Abdimas Prakasa Dakara
Yuni Yulida
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
Agriculture, Biological Sciences & Forestry Arts Humanities Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Social Sciences Transportation Other

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KENDALI OPTIMAL PADA MASALAH INVENTORI YANG MENGALAMI PENINGKATAN Affandi, Pardi; Faisal, Faisal; Yulida, Yuni
Jurnal Fisika FLUX Vol 12, No 1 (2015): Jurnal Fisika FLUX Edisi Februari 2015
Publisher : Lambung Mangkurat University Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/flux.v12i1.1307

Abstract

Banyak  permasalahan yang melibatkan teori sistem dan teori kontrol serta aplikasinya.Beberapa referensi teori yang mengaplikasikan teori kontrol ke dalam masalah inventori. Masalah klasik dalam masalah inventori adalah bagaimana mengatur perubahan permintaan konsumen pada sebuah produk barang jadi. Selain mengalami penurunan ternyata inventori juga bisa mengalami peningkatan, biasanya inventori yang mengalami peningkatan adalah terjadi pada inventori dikarenakan adanya proses produksi yang berlangsung secara terus menerus sedangkan permintaansedikit. Pada saat proses produksi berlangsung secara terus menerus menyebabkan bertambahnya jumlah inventori. Hal ini mengakibatkan terjadinya peningkatan jumlah inventori.Masalah ini salah satunya dapat dimodelkan dan diselesaikan dengan menggunakan teknik kontrol optimal
A MATHEMATIC MODEL OF TWO MUTUALLY INTERACTING SPECIES WITH MORTALITY RATE FOR THE SECOND SPECIES Rahayu, Annisa; Yulida, Yuni; Faisal, Faisal
TROPICAL WETLAND JOURNAL Vol 3, No 2 (2017)
Publisher : The Journal is published by Graduate Programe of Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

One of the interactions that occur withinthe ecosystem is the interaction of mutualism. Such mutualism interactions can be modeled into mathematical models. Reddy (2011) study suggests a model of two mutually interactingspecies that assumes that each species can live without its mutualism partner. In fact, not all mutual species survive without their mutualism pairs. If it is assumed that the second species lives without its mutualism partner, the firstspecies, then the natural growth rate of the second species population will decrease (the mortality rate). The purpose of this research is to explain the model of two mutually interacting species with mortality rate for the second species, to determine the equilibrium point and the type of stability, and to simulate them with several parameters. This research was done by way of literature studies. The result of this research is the model of two mutually interacting species with mortality rate for second species modeled using Nonlinear Differential Equation System. In the model, it was obtained 3 (three) points of equilibrium, with each type and type of stability investigated. Next up from the stability, model simulations were done. Based on several simulationsconducted can be seen the value of parameters and initial values affect the population growth of both species. The interaction model of two mutual species will be stable if the first species survive and the second species over time will beextinct.
PREDIKSI JUMLAH PENDUDUK KALIMANTAN SELATAN MENGGUNAKAN METODE NONLINEAR LEAST-SQUARES Karim, Muhammad Ahsar; Yulida, Yuni
MEDIA BINA ILMIAH Vol 14, No 5: Desember 2019
Publisher : BINA PATRIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (403.868 KB) | DOI: 10.33758/mbi.v14i5.390

Abstract

Dalam tulisan ini disajikan prediksi jumlah penduduk Kalimantan Selatan menggunakan model pertumbuhan logistik. Untuk memprediksi jumlah penduduk Kalimantan Selatan tersebut digunakan Metode Nonlinear Least-Squares untuk mengestimasi parameter-parameter yang mempengaruhi model. Pada model pertumbuhan logistik terdapat dua parameter yang mempengaruhi yaitu tingkat pertumbuhan dan daya tampung (Carrying Capacity). Penelitian ini dilakukan dalam tiga tahapan metode. Pertama, menentukan solusi model, kedua mengestimasi parameter tingkat pertumbuhan penduduk dan daya tampung penduduk Kalimantan Selatan dengan cara meminimumkan fungsi error yaitu antara data jumlah penduduk dan solusi model menggunakan Metode Nonlinear Least Squares. Ketiga melakukan prediksi jumlah penduduk Kalimantan Selatan untuk tahun-tahun mendatang. Berdasarkan hasil penelitian ini diperoleh  parameter hasil estimasi yaitu tingkat pertumbuhan penduduk Kalimantan Selatan sebesar 0,14055 per tahun dan daya tampung penduduk Kalimantan Selatan adalah 8.521.817 jiwa. Selanjutnya, disajikan prediksi jumlah penduduk Kalimantan Selatan untuk tahun-tahun mendatang menggunakan hasil estimasi parameter-parameter yang telah diperoleh. Hasil prediksi menunjukkan setiap tahun terjadi peningkatan jumlah penduduk dan peningkatan tersebut dari waktu kewaktu mendekati  daya tampung penduduk Kalimantan Selatan.
MODEL MATEMATIKA SEIRD (SUSCEPTIBLE, EXPOSED, INFECTED, RECOVERED, DAN DEATH) UNTUK PENYEBARAN PENYAKIT ISPA Yulida, Yuni; Karim, Muhammad Ahsar
MEDIA BINA ILMIAH Vol 15, No 7: Februari 2021
Publisher : BINA PATRIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33758/mbi.v15i7.1037

Abstract

In the last few decades, the Upper Respiratory Tract Infection has become one of the three leading causes of death and disability in the world, both in developing countries and in developed countries. In Indonesia, the trend of this disease continues to increase throughout 2016 - 2019 and in children it has caused 1 - 4 children under five to die every hour. In this study, the spread of this disease was modeled mathematically by using the SEIRD Model (Susceptible, Exposed, Infected, Recovered, and Death). Then, the equilibrium points of the model are determined, stability analysis is performed, and the model solution is determined using the Runge Kutta Method
ANALISIS KESTABILAN DAN SENSITIVITAS PADA MODEL MATEMATIKA SEIRD DARI PENYEBARAN COVID-19: STUDI KASUS DI KALIMANTAN SELATAN Karim, Muhammad Ahsar; Yulida, Yuni
MEDIA BINA ILMIAH Vol 16, No 5: Desember 2021
Publisher : BINA PATRIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33758/mbi.v16i5.1478

Abstract

The cases of Covid-19 that occurred in South Kalimantan were classified into 5 groups, namely suspected, treated, recovered, deaths, and healthy population who were susceptible for being infected with Covid-19. The dynamics of changes in the number of cases in each group can be studied mathematically through epidemiological mathematical modeling. In this study, the SEIRD Model (Susceptible, Exposed, Infected, Recovered, and Deaths) was formed to describe the dynamics of changing the number of Covid-19 cases in South Kalimantan. In this model, stability analysis and formulation of indicators for the controllability of the spread of Covid-19 are given, known as the Basic Reproduction Number. Furthermore, a sensitivity analysis of the parameters contained in the Basic Reproduction Number is given to determine the priority efforts that can be made to suppress the spread of Covid-19 in South Kalimantan.
A MATHEMATIC MODEL OF TWO MUTUALLY INTERACTING SPECIES WITH MORTALITY RATE FOR THE SECOND SPECIES Annisa Rahayu; Yuni Yulida; Faisal Faisal
TROPICAL WETLAND JOURNAL Vol 3 No 2 (2017): Tropical Wetland Journal
Publisher : Postgraduate Program - Lambung Mangkurat University (ULM Press Academic)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/twj.v3i2.50

Abstract

One of the interactions that occur withinthe ecosystem is the interaction of mutualism. Such mutualism interactions can be modeled into mathematical models. Reddy (2011) study suggests a model of two mutually interacting species that assumes that each species can live without its mutualism partner. In fact, not all mutual species survive without their mutualism pairs. If it is assumed that the second species lives without its mutualism partner, the first species, then the natural growth rate of the second species population will decrease (the mortality rate). The purpose of this research is to explain the model of two mutually interacting species with mortality rate for the second species, to determine the equilibrium point and the type of stability, and to simulate them with several parameters. This research was done by way of literature studies. The result of this research is the model of two mutually interacting species with mortality rate for second species modeled using Nonlinear Differential Equation System. In the model, it was obtained 3 (three) points of equilibrium, with each type and type of stability investigated. Next up from the stability, model simulations were done. Based on several simulations conducted can be seen the value of parameters and initial values affect the population growth of both species. The interaction model of two mutual species will be stable if the first species survive and the second species over time will be extinct.
KENDALI OPTIMAL PADA MASALAH INVENTORI YANG MENGALAMI PENINGKATAN Pardi Affandi; Faisal Faisal; Yuni Yulida
Jurnal Fisika FLUX Vol 12, No 1 (2015): Jurnal Fisika FLUX Edisi Februari 2015
Publisher : Lambung Mangkurat University Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (497.354 KB) | DOI: 10.20527/flux.v12i1.1307

Abstract

Banyak  permasalahan yang melibatkan teori sistem dan teori kontrol serta aplikasinya.Beberapa referensi teori yang mengaplikasikan teori kontrol ke dalam masalah inventori. Masalah klasik dalam masalah inventori adalah bagaimana mengatur perubahan permintaan konsumen pada sebuah produk barang jadi. Selain mengalami penurunan ternyata inventori juga bisa mengalami peningkatan, biasanya inventori yang mengalami peningkatan adalah terjadi pada inventori dikarenakan adanya proses produksi yang berlangsung secara terus menerus sedangkan permintaansedikit. Pada saat proses produksi berlangsung secara terus menerus menyebabkan bertambahnya jumlah inventori. Hal ini mengakibatkan terjadinya peningkatan jumlah inventori.Masalah ini salah satunya dapat dimodelkan dan diselesaikan dengan menggunakan teknik kontrol optimal
Analisa Kestabilan dan Solusi Pendekatan Pada Persamaan Van der Pol Yuni Yulida; Muhammad Ahsar Karim
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 3, No 2 (2019): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2719.307 KB) | DOI: 10.31764/jtam.v3i2.1084

Abstract

Abstrak: Di dalam tulisan ini disajikan analisa kestabilan, diselidiki eksistensi dan kestabilan limit cycle, dan ditentukan solusi pendekatan dengan menggunakan metode multiple scale dari persamaan Van der Pol. Penelitian ini dilakukan dalam tiga tahapan metode. Pertama, menganalisa perilaku dinamik persamaan Van der Pol di sekitar ekuilibrium, meliputi transformasi persamaan ke sistem persamaan, analisa kestabilan persamaan melalui linearisasi, dan analisa kemungkinan terjadinya bifukasi pada persamaan. Kedua, membuktikan eksistensi dan kestabilan limit cycle dari persamaan Van der Pol dengan menggunakan teorema Lienard. Ketiga, menentukan solusi pendekatan dari persamaan Van der Pol dengan menggunakan metode multiple scale. Hasil penelitian adalah, berdasarkan variasi nilai parameter kekuatan redaman, daerah kestabilan dari persamaan Van der Pol terbagi menjadi tiga. Untuk parameter kekuatan redaman bernilai positif mengakibatkan ekuilibrium tidak stabil, dan sebaliknya, untuk parameter kekuatan redaman bernilai negatif mengakibatkan ekuilibrium stabil asimtotik, serta tanpa kekuatan redaman mengakibatkan ekuilibrium stabil. Pada kondisi tanpa kekuatan redaman, persamaan Van der Pol memiliki solusi periodik dan mengalami bifurkasi hopf. Selain itu, dengan menggunakan teorema Lienard dapat dibuktikan bahwa solusi periodik dari persamaan Van der Pol berupa limit cycle yang stabil. Pada akhirnya, dengan menggunakan metode multiple scale dan memberikan variasi nilai amplitudo awal dapat ditunjukkan bahwa solusi persamaan Van der Pol konvergen ke solusi periodik dengan periode dua. Abstract: In this paper, the stability analysis is given, the existence and stability of the limit cycle are investigated, and the approach solution is determined using the multiple scale method of the Van der Pol equation. This research was conducted in three stages of method. First, analyzing the dynamic behavior of the equation around the equilibrium, including the transformation of equations into a system of equations, analysis of the stability of equations through linearization, and analysis of the possibility of bifurcation of the equations. Second, the existence and stability of the limit cycle of the equation are proved using the Lienard theorem. Third, the approach solution of the Van der Pol equation is determined using the multiple scale method. Our results, based on variations in the values of the damping strength parameters, the stability region of the Van der Pol equation is divided into three types. For the positive value, it is resulting in unstable equilibrium, and contrary, for the negative value, it is resulting in asymptotic stable equilibrium, and without the damping force, it is resulting in stable equilibrium. In conditions without damping force, the Van der Pol equation has a periodic solution and has hopf bifurcation. In addition, by using the Lienard theorem, it is proven that the periodic solution is a stable limit cycle. Finally, by using the multiple scale method with varying the initial amplitude values, it is shown that the solution of the Van der Pol equation is converge to a periodic solution with a period of two.
Belajar dari Rumah: Pelatihan Kompetisi Sains Nasional Tingkat SMP Bidang Matematika di Masa Pandemi Muhammad Ahsar Karim; Yuni Yulida; Muhammad Mahfuzh Shiddiq; Miftahul Jannah; Gian Septiansyah
Bubungan Tinggi: Jurnal Pengabdian Masyarakat Vol 4, No 1 (2022)
Publisher : Universitas Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/btjpm.v4i1.4712

Abstract

Kegiatan Pengabdian pada Masyarakat ini berbentuk pelatihan online dan bertujuan untuk berbagi pengetahuan tentang teknis pelaksanaan, silabus, serta tips dan trik di dalam menyelesaikan soal-soal pada Kompetisi Sains Nasional (KSN) tingkat SMP di bidang Matematika. Kegiatan ini dilakukan selama dua hari pada bulan Juli tahun 2021. Peserta kegiatan ini adalah para guru matematika dan siswa-siswi di SMP IT Qardhan Hasana, Kota Banjarbaru, Provinsi Kalimantan Selatan, yang terdiri dari 3 orang guru matematika dan 74 orang siswa. Pelatihan ini berjalan lancar dan dapat menjadi solusi bagi sulitnya pelaksanaan kegiatan pelatihan KSN di sekolah di masa pandemi Covid-19. Metode yang digunakan diantaranya adalah ceramah, diskusi, dan latihan soal. Hasil kegiatan ini, pemateri memberikan teknik-teknik dalam menyelesaikan soal-soal KSN diantaranya adalah mencari pola, menggunakan variabel, melangkah mundur, dan menggunakan ilustrasi. Dari kegiatan ini, panitia mengidentifikasi 10 dari 74 orang siswa yang berbakat dan merekomendasikan ke pihak sekolah untuk dibina lebih lanjut untuk mengikuti KSN Bidang Matematika. Hal ini sesuai dengan ketentuan KSN tahun 2021, yaitu setiap sekolah diwakili maksimal 9 (sembilan) peserta. Setiap peserta hanya diperbolehkan mengikuti 1 (satu) bidang lomba dan setiap bidang lomba maksimal 3 (tiga) peserta. Selanjutnya, kegiatan ini dapat dimanfaatkan dan dikembangkan oleh para guru matematika di sekolah tersebut untuk melakukan pembinaan kepada para siswa di dalam menghadapi KSN bidang Matematika. Pihak SMP IT Qardhan Hasana mengharapkan agar kegiatan ini dapat dilaksanakan secara rutin setiap tahun dalam bentuk kerja sama antara pihak sekolah dengan pihak Program Studi Matematika FMIPA ULM. This Community Service activity is in the form of online training. It aims to share knowledge about technical implementation, syllabus, and tips and tricks in solving problems in the National Science Competition (NCS) for junior high school mathematics. This activity was carried out for two days in July 2021. Participants in this activity were mathematics teachers and students at SMP IT Qardhan Hasana, Banjarbaru City, Province of South Kalimantan, which consisted of 3 mathematics teachers and 74 students. This training ran smoothly and could be a solution to the difficulty of implementing KSN training activities in schools during the Covid-19 pandemic. The methods used include lectures, discussions, and practice questions. The results of this activity show that the presenters provide techniques for solving KSN questions, including looking for patterns, using variables, stepping back, and using illustrations. The committee identified 10 out of 74 gifted students from this activity and recommended the school be further nurtured to participate in KSN in Mathematics. This is following the provisions of the 2021 KSN, which is that each school is represented by a maximum of 9 (nine) participants. Each participant is only allowed to participate in 1 (one) competition field, and each competition field is a maximum of 3 (three) participants. Furthermore, this activity can be utilized and developed by mathematics teachers at the school to guide students in facing KSN in the field of Mathematics. The SMP IT Qardhan Hasana hopes that this activity can be carried out regularly every year in collaboration between the school and the Study Program of Mathematics, FMIPA ULM. 
ANALISA PELAKSANAAN NEW NORMAL DI KALIMANTAN SELATAN MELALUI MODEL MATEMATIKA SIRD Muhammad Ahsar Karim; Yuni Yulida
MEDIA BINA ILMIAH Vol 14, No 12: Juli 2020
Publisher : BINA PATRIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33758/mbi.v14i12.666

Abstract

Mathematical models of epidemiology are very useful in studying the interrelationships among various epidemiological cases, conducting evaluations of efforts to deal with these cases, and preparing preventive actions and control of health problems in a population. One of the most popular models is SIR Model (Susceptible, Infectious, Recovered). Along with the rapid development in the field of epidemiology, the SIR Model has also undergone many modifications, one of which is the SIRD Model. The SIRD Model is modified for cases that explicitly separate Recovered and Deaths subpopulations. Since the positive case of Coronavirus Disease (Covid-19) was first confirmed in the Province of South Borneo on March 22, 2020, this outbreak has continued to increase significantly until the end of May 2020, exactly where the Large-scale Social Restrictions simultaneously ended throughout the region. The end of this restriction is the starting point for the start of 'New Normal' in South Kalimantan, which is called the New Life Order in the midst of the Covid-19 outbreak. In this study, an analysis was conducted to measure the implementation of the New Normal in South Borneo, as part of the evaluation material for the community and the local government on the implementation of the New Normal. Analysis was conducted using the SIRD Model and the data of Covid-19 in South Borneo in the period June 16 to July 17, 2020. The data showed an increase in the Attack Rate, which illustrates that the positive cases of Covid-19 in South Borneo are still experiencing an increase. The data also shows an increase in the Case Recovery Rate and a decrease in the Case Fatality Rate, which indicates that efforts to accelerate the handling of Covid-19 cases in South Borneo have given positive results. On the other hand, the parameter estimation process of the SIRD Model produces a Basic Reproduction Number of 2 and an Effective Reproductive Number of 1.82. Both of these numbers indicate that the transmission of Covid-19 in South Borneo is still out of control and it is estimated that the high transmission will still occur until the end of August 2020
Co-Authors Aji Wiratama Akhmad Yusuf Alya Hanifah Arif Ana Rizki Mahmudah Andi Tri Wardana Annisa Rahayu Arie Wijaya Audinta Sakti Firmansyah Azkia Khairal Jamil Azkia Khairal Jamil Azkia Khairal Jamil Bizaini Bizaini DEWI ANGGRAINI Dewi Sri Susanti Edy Sarwo Agus Wibowo Faisal Faisal Faisal Faisal Faisal Faisal Farohatin Na'imah Firman Nurrobi Fitri Nor Annisa Fitriani Fitriani Friska Erlina Gabriel Henokh Gultom Gian Septiansyah Gian Septiansyah Gusti Muhammad Rosyadi Haidir Ahsana Helfa Oktafia Afisha Herlyn Basrina Lestia, Aprida Siska Miftahul Jannah Miftahul Jannah Muhammad Afief Balya Muhammad Ahsar Karim Muhammad Ahsar Karim Muhammad Ahsar Karim Muhammad Mahfuzh Shiddiq Muhammad Mahfuzh Shiddiq Mursyidah Pratiwi Mustika Khadijah Na'imah Hijriati Noor Fakhriani Nor Hidayati Nurul huda Pardi Affandi Rahayu, Annisa Rahmi Hidayati Raihan Nooriman Rezky Putri Rahayu Riska Fitria Riska Fitria Rizky Purnama Wulandari Sinar Ismaya Sofia Faridatun Nisa Thresye Thresye Tri Puspa Lestari Vika Astuti Wuri Setyana Sari Yogi Apriyanto