Analisis Sensitivitas pada Model Matematika Transmisi Pengguna Narkoba dengan Faktor Edukasi

Resmawan, Resmawan; Wijayanti, Anissa Dwi; Yahya, Lailany; Nuha, Agusyarif Rezka

doi:10.24198/jmi.v16.n2.28804.95-103

Cited by 2 publications

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“…Based on [15], the basic reproduction number 0 is the spectral radius ( −1 ) of the model (1), provided by…”

Section: Basic Reproduction Number ( )mentioning

confidence: 99%

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Dynamic Model Analysis of the Spread of Drug Addicts with Educational Effects

Resmawan¹,

Supu²,

Achmad³

2021

Advances in Social Science, Education and Humanities Research

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This article discusses the analysis of dynamic models of the spread of drug addicts with educational effects. This model is modified from the White and Comiskey model by adding populations that have stopped using drugs so that the model will form the type of SURS. Besides, modifications were also made to consider the educational effects in each population class. The analysis shows that the free equilibrium point of drug addicts is stable when the condition is R 0 < 1 and the endemic equilibrium point is stable when the condition is R 0 > 1. Numerical simulations show that an increase in the rate of education can reduce the rate of distribution of drug addicts so that the spread of drug addicts gradually decreases and will disappear from the population.

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“…Based on [15], the basic reproduction number 0 is the spectral radius ( −1 ) of the model (1), provided by…”

Section: Basic Reproduction Number ( )mentioning

confidence: 99%

“…Based on the equation ( 8) for 5 + 6 it will be shown that 5 < 0 or 6 < 0. As in [15], based on equations (4) 0 < 1 it is obtained:…”

Section: Equilibrium Point Stabilitymentioning

confidence: 99%

Dynamic Model Analysis of the Spread of Drug Addicts with Educational Effects

Resmawan¹,

Supu²,

Achmad³

2021

Advances in Social Science, Education and Humanities Research

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SEARC Mathematical Modeling of Drug Addiction in South Sulawesi Province

Magfirah,

Sanusi,

Side

et al. 2023

E3S Web Conf.

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This study aims to build a SEARC mathematical model of drug addiction in South Sulawesi. The purpose of this study was to analyze and predict the number of drug addiction cases in South Sulawesi. The data used in this study is secondary data from the Provincial National Narcotics Agency (BNNP) of South Sulawesi and the Rehabilitation Center of the National Narcotics Agency (BNN) Baddoka Makassar. The steps in this study are to make assumptions and determine the SEARC model for drug addiction, determine the equilibrium point of the model obtained, analyze the stability of the equilibrium point, perform simulations with the Maple program, and conclude. The results of this study obtained the SEARC mathematical model of drug addiction in the form of a five dimensional system of differential equations, and also obtained an addiction-free equilibrium point and a stable endemic equilibrium point, as well as the basic reproduction number R0= 0.05 which shows that the rate of drug addiction cases in South Sulawesi can be controlled but preventive measures still need to be taken. Based on the simulation, it is found that the rehabilitation program can reduce the number of drug addicts so that by improving rehabilitation facilities and services, it can reduce the number of drug addicts effectively.

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Analisis Sensitivitas pada Model Matematika Transmisi Pengguna Narkoba dengan Faktor Edukasi

Cited by 2 publications

References 0 publications

Dynamic Model Analysis of the Spread of Drug Addicts with Educational Effects

Dynamic Model Analysis of the Spread of Drug Addicts with Educational Effects

SEARC Mathematical Modeling of Drug Addiction in South Sulawesi Province

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