AbstractThe present world is facing a devastating reality as drug abuse prevails in every comer of a society. The progress of a country is obstructed due to the excessive practice of taking drugs by the young generation. Like other countries, Bangladesh is also facing this dreadful situation. The multiple use of drug substances leads an individual to a sorrowful destination and for this reason, the natural behavior of human mind is disrupted. An addicted individual may regain his normal life by proper monitoring and treatment. The objective of this study is to analyze a mathematical model on the dynamics of drug abuse in the perspective of Bangladesh and reduce the harmful consequences with effective control policies using the idea of optimal control theory. The model has been solved analytically introducing a specific optimal goal. Numerical simulations have also been performed to review the behaviors of analytical findings. The analytical results have been verified with the numerical simulations. The analysis of this paper shows that it is possible to control drug addiction if there is less interaction among general people with the addicted individuals. Family based care, proper medical treatment, awareness and educational programs can be the most effective ways to reduce the adverse effects of drug addiction in a shortest possible time.
Optimal Control Strategy Applied to Dynamic Model of Drug Abuse Incident for Reducing Its Adverse Effects
