Mathematical-modeling-of-alcoholism

An imperfect educational campaign model where our model is divided into 5 compartmental classes, S(t), E(t), A(t), R(t) and Q(t). We will compute the equilibrium points of the model and determine the stability of the equilibrium under the Reproduction number threshold. For $R_0<1$ our Alcohol free equilibrium is stable while for $R_0>1$, it is unstable. In addition, for $R_0>1$, our endemic equilibrium, Alcohol present equilibrium is stable and unstable otherwise.