TY - JOUR
AU - Anggriani, Nita
AU - Toaha, Syamsuddin
AU - Kasbawati, Kasbawati
PY - 2021/05/12
Y2 - 2024/10/14
TI - Optimal Control of Mathematical Models on The Dynamics Spread of Drug Abuse
JF - Jurnal Matematika, Statistika dan Komputasi
JA - JMSK
VL - 17
IS - 3
SE -
DO - 10.20956/j.v17i3.12467
UR - https://journal.unhas.ac.id/index.php/jmsk/article/view/12467
SP - 339-348
AB - <p><em>This article examines the optimal control of a mathematical model of the spread of drug abuse. This model consists of five population classes, namely susceptible to using drugs (S), light-grade drugs (A), heavy-grade drugs (H), medicated drugs (T), and Recovery from drugs (R). </em><em>The system is solved using the Pontryagin minimum principle and numerically by the forward-backward sweep method</em><em>. </em><em>Numerical simulations of the optimal problem show that with the implementation of anti-drug campaigns and strengthening of self-psychology through counseling, the spread of drug abuse can be eradicated more quickly. The implementation of campaigns and strengthening of self-psychology through large amounts of counseling needs to be done from the beginning then the proportion can be reduced until a certain time does not need to be given anymore. The use of control in the form of strengthening efforts to self-psychology through counseling means that it needs to be done in a longer time to prevent the spread of drug abuse.</em></p>
ER -