Dynamic Model Analysis of the Spread of Drug Addicts with Educational Effects

Abstract

This article discusses the analysis of dynamic models of the spread of drug addicts with educational effects. This model is modified from the White and Comiskey model by adding populations that have stopped using drugs so that the model will form the type of SURS. Besides, modifications were also made to consider the educational effects in each population class. The analysis shows that the free equilibrium point of drug addicts is stable when the condition is R0 < 1 and the endemic equilibrium point is stable when the condition is R0 > 1. Numerical simulations show that an increase in the rate of education can reduce the rate of distribution of drug addicts so that the spread of drug addicts gradually decreases and will disappear from the population.