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All Journal Multilateral: Jurnal Pendidikan Jasmani Dan Olahraga Journal of Mathematics: Theory and Applications
Wahyudin Nur
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Education Mathematics Social Sciences Other

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Estimasi Parameter Model SIR dengan Algoritma Genetik Darmawati; Wahyudin Nur; Zaiful Nur
Journal of Mathematics: Theory and Applications Volume 1, Nomor 2, 2019
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (252.54 KB) | DOI: 10.31605/jomta.v1i2.696

Abstract

Model SIR merupakan salah satu model deterministik dasar dalam matematika epidemiologi. Sejak diperkenalkan oleh Kermack dan McKendrick, model deterministik terus mengalami perkembangan sesuai dengan karakteristik kasus yang dimodelkan. Perkembangan model deterministik dapat dilihat dari jumlah kompartemen, parameter, maupun teori dasar persamaan modelnya. Saat ini, model deterministik tidak hanya menggunakan persamaan diferensial biasa, namun juga menggunakan persamaan diferensial delay ataupun persamaan diferensial fraksional. Meskipun demikian, dalam beberapa kasus model klasik SIR tetap relevan digunakan untuk memperoleh gambaran penyebaran penyakit. Dalam makalah ini, penulis mengestimasi parameter model SIR menggunakan data Demam Berdarah. Model tersebut menrupakan sistem persamaan diferensial biasa sehingga dalam estimasinya menggunakan metode penyelesaian persamaan diferensial biasa. Dalam hal ini, penulis menggunakan metode Runge Kutta Orde 4. Untuk optimasi nilai errornya, penulis menggunakan salah satu metode heuristik yang terkenal dengan nama algoritma genetika. Algoritm genetika yang digunakan adalah algoritma genetika biner. Selain hasil estimasi, penulis juga memberikan beberapa simulasi untuk melihat pengaruh intervensi terhadap penyebaran demam berdarah.
PENGARUH LATIHAN SPLIT SQUAT JUMP TERHADAP PENINGKATAN KECEPATAN TENDANGAN LURUS PADA ATLET PERGURUAN PENCAK SILAT PERSAUDARAAN SETIA HATI TERATE Syamsul Arifin; Wahyudin Nur
Multilateral : Jurnal Pendidikan Jasmani dan Olahraga Vol 13, No 2 (2014): December
Publisher : Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (829.527 KB) | DOI: 10.20527/multilateral.v13i2.2488

Abstract

Effect  of  Exercise  Split  Squat  Jump  Kick  Against  Increased  Speed Straight In Athletes Pencak Silat Persaudaraan Setia Hati Terate (PSHT) Banjarmasin. The purpose of this study was to determine whether there is the effect of exercise Split Squat Jump to the increased speed straight kick in martial arts college athletes Persaudaraan Setia Hati Terate (PSHT) Banjarmasin.The method used in this study was a quasi-experimental method (Quasi- Experimental Reaserch). Design or design of the study using the one-group pretest- posttest  design.  Measurements  were  taken  before  and  after  treatment  was  given. Treatment effect is  measured from the difference between the initial measurement / pretest (Y1) and the final measurement / posttest (Y2).The  population  in  this  study  is  the  Athlete  Pencak  Silat  Pencak  Silat Persaudaraan Setia Hati Terate (PSHT) Banjarmasin, amounting to 35 people, and that the  research  samples  are  athletes  who  never  played  and  often  follow  the  practice amounted to 10 people with technical considerations porposif sampling or sample.Based on the conclusion of the study showed that: There was an increase in the speed of a straight kick in martial arts college athletes Brotherhood Terate Setia Hati (PSHT) Banjarmasin. Keywords: Split squat jump, speed martial arts kick straight
Mathematical Model of Armed Criminal Group with Pre-emitive and Repressive Intervention Wahyudin Nur; Darmawati Darmawati
Journal of Mathematics: Theory and Applications Volume 2, Nomor 2, 2020
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2263.753 KB) | DOI: 10.31605/jomta.v2i2.872

Abstract

Armed Criminal group is one of the problems faced by many countries in the world. Awful behaviour of armed criminal group members can affect a large amount of people. In this paper, we construct a deterministic mathematical model that takes into account persuasive and repressive intervention. We consider crime as a social epidemic. We determine the armed criminal group free equilibrium point and the armed criminal group persistence equilibrium point together with their existence condition. The next generation matrix is used to obtain the basic reproduction number. The local stability conditions of equilibrium points are proved using linearization. We show that the armed criminal group free equilibrium point is globally asymptotically stable under certain condition. Numerical simulations are performed to support our deductive study.
Stability Analysis of Tuberculosis SITS Model Wahyudin Nur; Magfirah Magfirah; Darmawati Darmawati; Ahmad Ansar
Journal of Mathematics: Theory and Applications Volume 2, Nomor 2, 2020
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1113.507 KB) | DOI: 10.31605/jomta.v2i2.874

Abstract

Tuberculosis (TB) is an infectious disease caused by mycobacterium tuberculosis. The purpose of this study is to investigate the dynamics of TB spread by using mathematical model. We develop SITS model which expressed as system of differential equations. The system has two equilibrium points, namely disease-free equilibrium point and endemic equilibrium point. The stability condition of the equilibrium points is proved. We perform several numerical simulations to support our theoretical results.
Co-Authors Ahmad Ansar Darmawati Darmawati Darmawati I Gusti Bagus Wiksuana Magfirah Magfirah Zaiful Nur