Abstract
The present work focusses on the control of marijuana in the
population. This real-world problem is shaped in the language of
mathematics and hence a mathematical model for the control of marijuana
is formulated. The total population of the people is divided into two
classes, the marijuana users, and the non-users. The users are further
divided in four sub-classes, each sub-class represents a stage/level of
addiction to the drug. The reproduction number ( R 0 ) of
marijuana usage is found from the proposed mathematical model. The
sensitivity analysis reveals the importance of many parameters in the
further spreading of marijuana is found out. Based on the sensitivity
analysis, the parameters that plays a significant role in marijuana
transmission were found. Furthermore, strategies were formulated to
prevent the marijuana transmission in the population. Numerical
simulations were also carried out to determine how the control
strategies will perform.
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