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

DOI

10.2991/assehr.k.210508.042How to use a DOI?

Keywords

Dynamic Model, SURS, Drug addicts, Education

Abstract

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 R0< 1 and the endemic equilibrium point is stable when the condition is R0> 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.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - R Resmawan
AU  - N Supu
AU  - N Achmad
PY  - 2021
DA  - 2021/05/11
TI  - Dynamic Model Analysis of the Spread of Drug Addicts with Educational Effects
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 55
EP  - 64
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.042
DO  - 10.2991/assehr.k.210508.042
ID  - Resmawan2021
ER  -