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

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 Agus Miftakus Surur; Yudi Ari Adi; Sugiyanto Sugiyanto
Jurnal Fourier Vol. 2 No. 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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; Muhammad Wakhid Musthofa; Sugiyanto Sugiyanto
Jurnal Fourier Vol. 2 No. 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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 Maesaroh Ulfa; Sugiyanto Sugiyanto
Jurnal Fourier Vol. 2 No. 2 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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 Annisa Eki Mulyati; Sugiyanto Sugiyanto
Jurnal Fourier Vol. 2 No. 2 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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

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; Muhammad Wakhid Musthofa
Jurnal Fourier Vol. 3 No. 2 (2014)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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 Endah Purwati; Sugiyanto Sugiyanto
Jurnal Fourier Vol. 5 No. 1 (2016)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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.

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