Liquor Habit Transmission Model

Nita H. Shah¹, Bijal M. Yeolekar¹, Nehal J. Shukla²

¹Department of Mathematics, Gujarat University, Ahmedabad, India.
²Department of Mathematics, Columbus State University, Columbus, USA.

DOI: 10.4236/am.2015.68112                

Abstract

In this paper, we analyse population dynamics of liquor habit. Liquor free and Liquor endemic equilibrium are computed. The local and global stabilities of the proposed problem are established. The numerical simulation is given to validate the transmission of population indifferent compartment using state-space model.

Keywords

Liquor Habit, Basic Reproduction Number, Local Stability, Global Stability, State-Space Simulation

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Al-Amoudi, R., Al-Sheikh, S. and Al-Tuwairqi, S. (2014) Behavior of Solutions to a Mathematical Model of Memes Transmission. International Journal of Applied Mathematical Research, 3, 36-44.
[2]	Johnson, L. (2004) An Introduction to the Mathematics of HIV/AIDS Modelling. Centre for Actuarial Research.