Model Matematika Penyebaran Pengguna Narkoba Dengan Adanya Faktor Edukasi di Sumatera Utara

Sirait, Paisal (2022) Model Matematika Penyebaran Pengguna Narkoba Dengan Adanya Faktor Edukasi di Sumatera Utara. Skripsi thesis, Universitas Islam Negeri Sumatera Utara.

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Abstract

The spread of drug users is one of the big problems facing the nation and has a negative impact on the nation's generation, and North Sumatra is no exception. Where North Sumatra Province is currently the province with the highest cases of drug abuse. This study's objective is to ascertain the mathematical model of the spread of drug users with education in order to tackle cases of the spread of drug users. This study began with model construction, then a search for equilibrium points and stability conditions was carried out, and at the end of the study a numerical simulation was given. Two points of equilibrium the drug addicts' free equilibrium point and their endemic equilibrium point were determined from the analyses' findings. The basic reproduction number is the next stage after determining the next- generation matrix approach's predicted value of infection per unit of time. Using the outcomes of the simulation, it was found that each population is stable around the drug user-free equilibrium point, namely the condition R0 1 , which means that the population of drug users over time will decrease and within a certain period of time will gradually disappear and stabilize around the endemic equilibrium point for drugs when conditions R0 1 , which means the population of drug users will continue to increase and will result in the spread of drugs. According to the simulation's findings, the number of vulnerable populations with education will rise and the number of vulnerable populations without education will fall the higher the rate of education.

Jenis Item:	Skripsi (Skripsi)
Uncontrolled Keywords:	Pengguna Narkoba, Model Matematika, Faktor Edukasi
Subjects:	500 Natural sciences and mathematics > 510 Mathematics
Divisions:	Fakultas Sains dan Teknologi > Matematika > Skripsi
Pengguna yang mendeposit:	Ms Nurul Hidayah Siregar
Date Deposited:	12 Jul 2023 07:58
Last Modified:	12 Jul 2023 07:58
URI:	http://repository.uinsu.ac.id/id/eprint/19918

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