Mathematical Model of Drinking Epidemic
Isaac Kwasi Adu, Mojeeb AL-Rahman EL-Nor Osman, Cuihong Yang
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 9 Jun 2017
10.9734/BJMCS/2017/33659Abstract
A non-linear SHTR mathematical model was used to study the dynamics of drinking epidemic. We discussed the existence and stability of the drinking-free and endemic equilibria. The drinking-free equilibrium was locally asymptotically stable if R0 < 1and unstable if R0 > 1. Global stability of drinking-free and endemic equilibria were also considered in the model, using Lassalle’s invariance principle of Lyapunov functions. Numerical simulations were conducted to confirm our analytic results. Our findings was that, reducing the contact rate between the non-drinkers and heavy drinkers, increasing the number of drinkers that go into treatment and educating drinkers to refrain from drinking can be useful in combating the drinking epidemic.
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