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Journal : Jurnal Fourier

Model Penyebaran Penyakit Polio Dengan Pengaruh Vaksinasi Ma’rifatun, RR Laila; Sugiyanto, Sugiyanto
Jurnal Fourier Vol 2 No 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (423.456 KB) | DOI: 10.14421/fourier.2013.21.11-18

Abstract

Polio (Poliomielitis) is an infectious disease caused by the polio virus. This disease attacks the entire body (including the muscles and nerves) and can lead to muscle weakness that is permanent, paralysis or death. This paper will discuss on the influence of vaccination against polio disease spread in the human population that settled in the form of mathematical modeling.
Penyelesaian Persamaan Telegraph Dan Simulasinya Surur, Agus Miftakus; Adi, Yudi Ari; Sugiyanto, Sugiyanto
Jurnal Fourier Vol 2 No 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (447.114 KB) | DOI: 10.14421/fourier.2013.21.33-43

Abstract

Equation Telegraph is one of type from wave equation. Solving of the wave equation obtainable by using Green's function with the method of boundary condition problem. This research aim to to show the process obtain;get the mathematical formula from wave equation and also know the form of solution of wave equation by using Green's function. Result of analysis indicate that the process get the mathematical formula from wave equation from applicable Green's function in equation which deal with the wave equation, that is applied in equation Telegraph.  Solution started with searching public form from Green's function, hereinafter look for the solving of wave equation in Green's function. Application from the wave equation used to look for the solving of equation Telegraph.  Result from equation Telegraph which have been obtained will be shown in the form of picture (knowable to simulasi) so that form of the the equation Telegraph.
Aplikasi Transformasi Laplace Pada Rangkaian Listrik Arifin, Arifin; Musthofa, Muhammad Wakhid; Sugiyanto, Sugiyanto
Jurnal Fourier Vol 2 No 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (429.856 KB) | DOI: 10.14421/fourier.2013.21.45-61

Abstract

Menyelesaikan persamaan diferensial sering terkendala oleh masalah syarat awal atau syarat batas. Masalah syarat batas ini sering dijumpai pada penerapan persamaan diferensial, salah satunya adalah rangkaian listrik. Metode yang dapat digunakan untuk menyelesaikan masalah syarat batas pada persamaan diferensial salah satu diantaranya adalah metode transformasi Laplace. Transformasi Laplace yang didefinisikan dengan L{f(t)}= dapat digunakan untuk mencari solusi dari suatu sistem persamaan diferensial koefisien konstan. Metode penyelesaian suatu rangkaian Listrik dengan menggunakan transformasi Laplace adalah dengan mengubah persamaan diferensial dari domain waktu (t) ke dalam domain frekuensi (s), memetakan masalah nilai awal ke dalam persamaan pembantu, menyelesaikan dengan perhitungan aljabar, dan menggunakan invers transformasi Laplace untuk mendapatkan solusi khusus secara langsung dari sistem persamaan diferensial rangkaian listrik tersebut.
Model Matematika Untuk Kontrol Campak Menggunakan Vaksinasi Ulfa, Maesaroh; Sugiyanto, Sugiyanto
Jurnal Fourier Vol 2 No 2 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (347.188 KB) | DOI: 10.14421/fourier.2013.22.81-89

Abstract

Measles (also known as Rubeola, measles 9 day) is a highly contagious virus infection, characterized by fever, cough, conjunctiva (inflammation of the tissue lining of the eye) and skin rash. The disease is caused by infection of measles virus paramyxovirus cluster. It is a deadly disease. Vaccination is the most effective strategy to prevent the disease. It is generally given to children. This research aims to establish a model of the effect of measles vaccination, forming the point of equilibrium and analyze the stability, create a simulation model and interpret them, and to know the design to optimize the vaccination coverage required, so it can reduce the spread of this disease. This research was conducted by the method of literature study. It is expected to provide an overview of the mathematical model used to control measles vaccination with division of classes SEIR. The steps taken is identifying the problem, formulating assumptions to simplifying the model, making the transfer diagram, defining parameters, determining the equilibrium points and analyzing the stability, simulating the model, and forming the design to optimize the vaccination. Then from this research can be obtained free balance point of endemic and diseases and their stability. Based on the results obtained, the simulation is done by taking the data in Yogyakarta, and obtained vaccination coverage with two doses that can increase the herd immunity with lower vaccination coverage.
Aplikasi Persamaan Bessel Orde Nol Pada Persamaan Panas Dua Dimensi Mulyati, Annisa Eki; Sugiyanto, Sugiyanto
Jurnal Fourier Vol 2 No 2 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (468.216 KB) | DOI: 10.14421/fourier.2013.22.113-123

Abstract

Bessel differential equation is one of the applied equation in physics is about heat transfer. Application of modified Bessel function of order zero on heat transfer process of two-dimensional objects which can be modelled in the form of a two-order partial differential equations as follows, ..... With the obtained solutions of Bessel's differential equation application of circular fin, ....   two-dimensional temperature stated on the point .....  against time t
Pemodelan Matematika Bekam Pada Kanker Nasofaring Dan Kontribusinya Bagi Penanganan Kanker Nasofaring Sugiyanto, Sugiyanto
Jurnal Fourier Vol 4 No 2 (2015)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1287.228 KB) | DOI: 10.14421/fourier.2015.42.87-92

Abstract

Cancer / Nasopharyngeal carcinoma is a cancer of the first malignancy in the head and neck. It is located in nasopharynx, behind the nose. Ebstein Barr virus is one of the triggers of this carcinoma. Cupping is a process of detoxification of toxins in the body so as immunity increases. Quite a lot of the sayings of the Prophet Muhammad about the cupping. The method used in this study mathematical modeling nasofang carcinoma cell level. There are two cases which are modeled in this case, the first case of low immunity without cupping, and second case low immunity with the cupping. The first case of low immunity without a cupping here are seven sub-populations that happened, ie normal cells, lesion cells, low dysplastic cells, the infected cells, high dysplastic cells, invasive carcinoma cells and viruses. Meanwhile, two cases of low immunity with the cupping there are five sub-populations, ie normal cells, lesion cells, low dysplastic cells, the infected cells, and viruses.
Model Matematika Konflik Tiga Kompartemen (Model Diskret) Sugiyanto, Sugiyanto; Musthofa, Muhammad Wakhid
Jurnal Fourier Vol 3 No 2 (2014)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (341.186 KB) | DOI: 10.14421/fourier.2014.32.131-139

Abstract

The conflict between groups of people is a serious problem for the people of Indonesia. Mathematical Model of trying to resolve this problem. In this study the number of police officers involved have been in accordance with the amount of power a group of warring parties, so that the police can relieve the community because the amount of power that is balanced. In the case study of conflicts in South Lampung as much as 700 police officers who have been involved is in compliance. The victim died because police were too late in fielded as many as 700 police.
Pengembangan Model Matematika SIRD (Susceptibles-Infected-Recovery-Deaths) Pada Penyebaran Virus Ebola Purwati, Endah; Sugiyanto, Sugiyanto
Jurnal Fourier Vol 5 No 1 (2016)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (332.292 KB) | DOI: 10.14421/fourier.2016.51.23-34

Abstract

Ebola is a deadly disease caused by a virus and is spread through direct contact with blood or body fluids such as urine, feces, breast milk, saliva and semen. In this case, direct contact means that the blood or body fluids of patients were directly touching the nose, eyes, mouth, or a wound someone open. In this paper examined two mathematical models SIRD (Susceptibles-Infected-Recovery-Deaths) the spread of the Ebola virus in the human population. Both the mathematical model SIRD on the spread of the Ebola virus is a model by Abdon A. and Emile F. D. G. and research development model. This study was conducted to determine the point of disease-free equilibrium and endemic equilibrium point and stability analysis of the dots, knowing the value of the basic reproduction number (R0) and a simulation model using Matlab software version 6.1.0.450. From the analysis of the two models, obtained the same point for disease-free equilibrium point with the stability of different points and different points for endemic equilibrium point with the stability of both the same point and the same value to the value of the basic reproduction number (R0). After simulating the model using Matlab software version 6.1.0.450, it can be seen changes in the behavior of the population at any time.
Co-Authors Abdul Gofir Abdurrachman, Abdurachman Achmad Santosa, Achmad Adi, Alik Sus Adibatul Mustaanah Adji Nur Mohammad Ag. Yuswanto Agung Nugroho Setiawan, Agung Nugroho Agus Kristiyanto Agus Miftakus Surur, Agus Miftakus Agus Zainal Arifin Agustin, Ika Kristina Dewi Agustina Shinta Ahmad Husain Asdie Akhmad Edy Purwoko, Akhmad Edy Al Jamil, Abu Hasan Alif Fauziah Sari, Alif Fauziah Andita, Frizal Didin Mardyansyah Anggi Febriani, Anggi Ani Rusilowati Anisa Anisa Annisa Eki Mulyati, Annisa Eki Anwar, M. Choiroel Anwar, Muhammad Choiroel Aprilia Cheni Hermawati Aprilia, Anisatul Khoir Ardianto Wibowo Ariansyah, Arisman Arief Nurrochmad Arifin Arifin Arinda Puspitaningtyas Aris Santjaka Ariyani Eka Wardani, Ariyani Eka Ary Kurniati Asia Refina Asim Asim, Asim Awaluddin Awaluddin Awanda, Ifan Ba’tradiansar, Muhammad Badrun Kartowagiran Baharuddin Risyak Baskoro Adi Prayitno Budi Naini Mindyarto, Budi Naini Cahyono, Edi Dwi Candra Junianto, Candra Candra, Alexander Candrawati, Yunita Christine Patramurti, Christine Cut Rohani Bitai, Cut Rohani Danang Soeko Rahardjo, Danang Soeko Darsono Darsono Dartini Dartini, Dartini Deasti Nurmaguphita, Deasti Denny Saputra DESI NATALIA, DESI Dewi Agustina Dewi Liesnoor Setyowati Dewi, Ayu Trisna Diartama, Anak Agung Aris Diffah Hanim Dinar Tri Palupi Djoko Santoso Dona Prayogo, Dona Donny Kristanto Mulyantoro Dwi Setyawan Dyah Ardan Pratiwi Edo Himawan Edy Meiyanto Een Yayah Haenilah Eflita Yohana Emi Murniati, Emi Endang Sri Sunarsih Endriatmo Soetarto Ernila Indah Febrika, Ernila Indah Faisal Amri Faisal Nurrohman, Faisal Fangohoi, Latarus Farida Hayati fatimah Fatimah Fatimah, Fatimah Fatoni, Rismi Febriana, Tya Nur Firdaus, Harish Fitri Akhyar, Fitri Fitria Akhyar Garyas Praja Siswadi Gatot Murti Wibowo, Gatot Murti Gito Sugiyanto Godham Eko Saputro, Godham Eko Gunawan, Dea Ayu Permata Hafidhoh, Nisa’ul Harianto, Fajar Hary Budieny HERMANTO SIREGAR Hermawan Widi Laksono Herpratiwi Herpratiwi Hertanto, Dedy Heru Trisikwanto, Heru Hervina, Norenda Okta Hidayatullah, R.H Hindriani, Dita Husman, Husman Iis Wahyuningsih Ika Kartika Ilahi, Bogy Restu Imam Arahman, Imam Imam Budiarjo, Imam Imam Santosa Inayati Inayati Indrastono Dwi Atmono, Indrastono Dwi Indwiani Astuti Insanistyo, Bayu Irfandi Irfandi, Irfandi Ito, Yonathan Jailani Jailani Jamari Jamari Jeffri Ardiyanto, Jeffri Jehma, Rosana Joga Dharma Setiawan Joko Purwanto Joko Waluyo Jupiter Sitorus Pane Kartika Septianingrum, Kartika Kartono Kartono Kayan Swastika Keppi Sukesi Khumaedi Khumaedi, Khumaedi Kiyatno Kiyatno Kurniawati, Ary Kusumaningsih, Indriati Kusumo, Fajar Adi Lanny Sunarjo, Lanny Leny Latifah Lina Aryati Lintje Setyawati Maurits, Lintje Setyawati Liya Umaroh, Liya Loliyana Loliyana Lubis, Novitasari Lukman Hakim M. E. Winarno, M. E. M. Rifqi Rokhman Ma’rifatun, RR Laila Made Elisa Deviyanti, Made Elisa Mae Sri Hartati, Mae Sri Maesaroh Ulfa, Maesaroh Maharani, Annisa Mahmudyan Nuriil Fahmi Maman Surahman Mangku Purnomo Mardiah Suci Hardianti Marjono Marjono Marsum Marsum, Marsum Maryati Maryati Melysa, Oktia Moh. Toifur Mohammad Badaruddin Mohammad Yudhi Widyatmoko Mosik Mosik, Mosik Muchammad Abrori, Muchammad Muchsin Doewes Muhammad Donny Kusumo N. Muhammad Dwi Prayoga Muhammad Dzulfikar Muhammad Erri Kurniawan Muhammad Heru Firmansyah, Muhammad Heru Muhammad Wakhid Musthofa, Muhammad Wakhid Musoli, Musoli Muzdalifa, Muzdalifa Nanang Fakhrur Rozi Nanang Sugiarto Nastiti, Fajar Tri Nendyah Roestijawati Neri, Chindi Aran Nila Oktaviani Nina Salamah Nizar Rahman Aprilitama, Nizar Rahman Nopembereni, Eti Dewi Nugraha, Faryan Nunuk Aries Nurulita Nur Pinandoyo Nur Rohman Nuraeni Nuraeni Nuraini, Tumang Nuroniyah, Rifatun Nurul Maziyyah, Nurul Oni Bagus Januarto, Oni Bagus P.W, Agnes Intan Pande Made Udiyani Pangandosan, Annisa Parmasari, Megawati Partoso Hadi, Partoso Praditha Edu Ar-Rasyid Pratama, Andika Priya Pratiwi, Hasih Prawastyorini, Ardina Nilam Pri Iswati Utami Priantoro, Win Priyono Priyono Pujianto, Dian Purwati, Endah Purwati, Magdalena Yuli Raharjo, Komplit Rahayu, Anggi Andriani Rahman, Faisal Adam Rahmat Putra Perdana Rahmawati, Hesti Dwi Ramadaniawan, Nizamuddin Nur Rasyid Rasyid, Rasyid Retno Palupi Yonni Siwi, Retno Palupi Yonni Retnosari, Dewi Reza Safitri Rifky Ismail Rinci Kembang Hapsari, Rinci Kembang Rini Indrati, Rini Rini Rahma Dianti, Rini Rahma Risna Endah Budiati Risqhe Rumsi, Risqhe Riswandi Riswandi Riswanti Rini Riyanto M. Taruna Rizky Tegar Wicaksono Agami Rochmiyati Rochmiyati Rokhayah, Fajar Ronny Martien Rosmansyah, Ridho Sabir Sabir Saktyianto Ajinugroho Sapta Kunta Purnama Saraswati, Suci Sari, Fitri Ropita Satria Waskita Eka Paksi, Satria Satria Waskita Eka Paksi, Satria Waskita Eka Sebtika, Astrid Nanda SEPTI WULANDARI Sholihah, Ana Putri Silvani, Amalia Silvani, Daffanny Aida Silvia Yulita Ratih Singgih Prihadi Siswandari Siswandari, Siswandari Siti Khanafiyah Siti Romlah Soeadgihardo Siswantoro Sofi'ah, Saifuli Sri Eko Wahyuni Sri Handayani Sri Kuntjoro Sri Purnami, Sri Sri Sangkawati Sri Sangkawati Sachro Sri Sangkawati Sachro, Sri SRI UTAMI ADY Sriyana Sriyana Sucipto, Barep Sudarto, Untung Sudarwati, Ida Sudibyo Martono Sudiyono Sudiyono Sugeng Wahono Sugianto Sugianto Sugihartiono, Tono sugihartono, Tono Sugiman Sugiman Suhardi Suhardi Sujatmoko, Sujatmoko Sumantri Sumantri Sumardi Sumardi Sumarjono, Sumarjono Sumiyani, Ririn Sunandarti, Hermi Supriyadi Supriyadi Supriyana Supriyana, Supriyana Suryono Suryono Suseno Darsono Susy Suswaty Sutisyana, Ari Syafrial Syafrial Syaifuddin Latif Tarigan, Emiliana Tesa Eranti Putri Thaqibul Fikri Niyartama Tia Nur Meilinda, Tia Nur Tono Wibowo Tony Prahasto Topo Suhartoyo, Topo Tri Murti Andayani Triasmono, Haris Kukuh Trisandy, Memo Triyudho, Ramos Tutuk Indriyani, Tutuk Uchi, Atika Yana Ukhtinasari, Febri vita, Septika Usde wahyuningsih, iis - Wasiilati, Anifa Wati, Setiana Wicaksono, Pararto Widha Sunarno Widhy Hayuhardhika Nugraha Putra Widi Hidayati, Widi Wlnarto, F. Eko Wlsmo Y.I. Wicaksono Yandi Purbangsa Yasin Yusup Yayuk Yuliati Yenni Sri Utami, Yenni Sri Yenny Puspitasari Yopi Harwinanda A, Yopi Harwinanda Yudha Satria Yudi Ari Adi, Yudi Ari Yunitasari, Yessyca Yuswanto, Ag Yuwana, Rizkia Wira Zabdillah, Mohammad Zulmi Fairuz Zaenal Kusuma Zaenal Zaenal, Zaenal Zukhronah, Etik Zulhelmi Zulhelmi, Zulhelmi