Mathematical Model of Drinking Epidemic
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 5
Abstract
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 R_0<1 and unstable if R_0>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.
Authors and Affiliations
Isaac Kwasi Adu, Mojeeb AL-Rahman EL-Nor Osman, Cuihong Yang
Keywords
Related Articles
- EP ID EP322571
- DOI 10.9734/BJMCS/2017/33659
- Views 78
- Downloads 0
Hellinger Distance Between Generalized Normal Distributions
A relative measure of informational distance between two distributions is introduced in this paper. For this purpose the Hellinger distance is used as it obeys to the definition of a distance metric and, thus, provides a...
Modelling In uenza Dynamics with Drug Resistance Aspect
Despite improvement in medical and public health standards, in uenza continues to plague humankind causing high morbidity,mortality and socio-economic cost. E orts to e ectively combat the spread of in uenza can be put i...
Existence and Uniqueness of Positive Periodic Solution of an Extended Rosenzweig-MacArthur Model via Brouwer's Topological Degree
The necessary conditions for existence of periodic solutions of an Extended Rosenzweig- MacArthur model are obtained using Brouwer’s degree. The forward invariant set is formulated to ensure the boundedness of the soluti...
Breaking of Spiral Waves Due to Obstacles
A spiral wave, which is a self-sustaining wave, is believed to be the source of certain types of arrhythmias, which can lead to fibrillation. In this paper, we study a generic model for the propagation of electrical impu...
Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space
In this paper, we de ne the notions of T-magnetic, N1-magnetic, N2-magnetic curves according to Bishop frame and 1-magnetic, 2-magnetic, B-magnetic curves according to type-2 Bishop frame in Euclidean 3-space. Also, we...