Abstract
In this paper, we formulated a mathematical model for the addiction of drug substances among students in the tertiary institutions in Nigeria. The model explains the dynamics of the use and the addiction of certain substances that are perceived as mood changing by the students in the tertiary institutions in Nigeria. The drug model will be analysed qualitatively. The basic reproductive number which is the drug addiction number of the mathematical model was determined using the next generation procedure. It was found that the drug free equilibrium point was found to be locally asymptotically stable whenever the drug addiction number is less than one and unstable otherwise. The analysis revealed that an increase in the recruitment rate of students and the rate at which the students return to the use and addiction of drugs would cause an increase in the drug addiction number. There are impacts on interaction among non-drug users and drug users in the system with time. An increase in the contact or limitation rate increases the population of drug users. It is hereby recommended that; government should intensify efforts to reduce or stop the spread of selling and purchasing of the drug substances through government policies among the students in the tertiary institutions in Nigeria.
Highlights
Drug abuse and addiction is a condition characterized by a self-destructive pattern of using a substance that leads to significant problems and distress which may include tolerance to or withdrawal from the substance
The model explains the dynamics of the use and the addiction of certain substances that are perceived as mood changing by the students in the tertiary institutions in Nigeria
The exposed class was incorporated into this model and some other parameters were added in order to have a robust mathematical model on the addiction of drug substances among the students in the tertiary institutions
Summary
Drug abuse and addiction is a condition characterized by a self-destructive pattern of using a substance that leads to significant problems and distress which may include tolerance to or withdrawal from the substance. We formulated a mathematical model for the addiction of drug substances among students in the tertiary institutions in Nigeria. The model explains the dynamics of the use and the addiction of certain substances that are perceived as mood changing by the students in the tertiary institutions in Nigeria. These drug abuse and addiction are both grouped as substance or drug use disorder.
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