Jurnal Matematika Integratif
Vol 16, No 2: Oktober 2020

Analisis Sensitivitas pada Model Matematika Transmisi Pengguna Narkoba dengan Faktor Edukasi

Resmawan Resmawan (Unknown)
Anissa Dwi Wijayanti (Jurusan Matematika, FMIPA, Universitas Negeri Gorontalo)
Lailany Yahya (Jurusan Matematika, FMIPA, Universitas Negeri Gorontalo)
Agusyarif Rezka Nuha (Jurusan Matematika, FMIPA, Universitas Negeri Gorontalo)

Article Info

Publish Date
05 Dec 2020

Abstract

Drugs have a bad effect on the users which is mental disorders and health problems even causing death. Cases of drug users spread can be formulated with a mathematical approach through the concept of mathematical modeling. This article discusses the mathematical model of SURS type drug users spread. Model development by adding educational factors to each population class. Furthermore, the basic reproduction number () is constructed to model the threshold value of the spread of drug addicts. The basic reproduction number is determined by using a Next Generation Matrix approach. The next step is to do a sensitivity analysis to determine the parameters that most influence the spread of drug addicts. Based on the analysis results, the parameters β and indicate the most dominant sensitivity index to the basic reproduction numbers. At the end of this article, a simulation is carried out to show the effect of changing parameters on the population of drug addicts.

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Journal Info
Jurnal Matematika Integratif
Website

Abbrev

jmi

Publisher

Universitas Padjadjaran

Subject

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mechanical Engineering Transportation

Description

Jurnal Matematika Integratif (JMI) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in research. JMI received a manuscript in areas of study mathematics widely, and math-based multidisciplinary studies derived ...