TY - JOUR
T1 - A mathematical model with control strategies for marijuana smoking prevention
AU - Ullah, Atta
AU - Sakidin, Hamzah
AU - Shah, Kamal
AU - Hamed, Yaman
AU - Abdeljawad, Thabet
N1 - Publisher Copyright:
© 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
PY - 2024
Y1 - 2024
N2 - Our goal of this study is to prevent marijuana smoking in the human population. In this manuscript, an updated mathematical model was established by incorporating two additional compartments: The hospitalized class and the prisoner’s class. The updated model was validated, and it was shown to be novel compared to the non-user, experimental, recreational, and addicted (NERA) users’ model. This distinction was crucial as it was challenging to prevent marijuana usage without these realistic classes. The entire population was split into six primary groups, including these new classes: non-users, experimental, recreational, addicted, hospitalized, and prisoners’ class. Additionally, control techniques for marijuana prevention in the population were addressed with the aid of sensitivity analysis. The important point at which we may have determined the preliminary transmission rate of marijuana smoking was the basic reproductive number ℝ0. Utilizing MATLAB, the Runge-Kutta method of order four was employed for the numerical simulation of the updated model to investigate the impact of control measures on marijuana smoking prevention.
AB - Our goal of this study is to prevent marijuana smoking in the human population. In this manuscript, an updated mathematical model was established by incorporating two additional compartments: The hospitalized class and the prisoner’s class. The updated model was validated, and it was shown to be novel compared to the non-user, experimental, recreational, and addicted (NERA) users’ model. This distinction was crucial as it was challenging to prevent marijuana usage without these realistic classes. The entire population was split into six primary groups, including these new classes: non-users, experimental, recreational, addicted, hospitalized, and prisoners’ class. Additionally, control techniques for marijuana prevention in the population were addressed with the aid of sensitivity analysis. The important point at which we may have determined the preliminary transmission rate of marijuana smoking was the basic reproductive number ℝ0. Utilizing MATLAB, the Runge-Kutta method of order four was employed for the numerical simulation of the updated model to investigate the impact of control measures on marijuana smoking prevention.
KW - control strategies
KW - marijuana prevention
KW - mathematical model
KW - reproduction number
KW - sensitivity analysis
UR - http://www.scopus.com/inward/record.url?scp=85193000708&partnerID=8YFLogxK
U2 - 10.3934/ERA.2024107
DO - 10.3934/ERA.2024107
M3 - Article
AN - SCOPUS:85193000708
SN - 1935-9179
VL - 32
SP - 2342
EP - 2362
JO - Electronic Research Archive
JF - Electronic Research Archive
IS - 4
ER -