Mathematical Analysis of Alcoholism with Effect of Awareness through Media in Developing Countries.

In this paper, we have proposed a non-linear deterministic mathematical model for the spread of alcoholism as a communicable disease. Some properties of the solution to the model including positivity, existence and stability of equilibrium points are analyzed. The expression for basic reproduction number for the spread of alcoholism, a threshold value (R0) is determined by the next generation matrix approach. It has been found that the system has two equilibria states; one drinkingfree equilibrium; second drinkung-present equilibrium. It has been shown that the drinking-free equilibrium is stable if R0 < 1 and drinking-present equilibrium is stable if R0 > 1. The results are analyzed using numerical simulation. It has been observed that though awareness program is an effective measure in reducing drinking problem, it can not eradicate the problem totally. Simulation results indicate that the problem can be eliminated by reducing transmission coefficient to certain level together with the implementation of effective awareness programs. [ABSTRACT FROM AUTHOR]