Indonesian Journal of Computational and Applied Mathematics
Vol. 1 No. 2: June 2025

Dynamics of Alcohol Consumption Model with Public Awareness and Saturated Incidence

Beay, Lazarus Kalvein (Unknown)
Saija, Maryone (Unknown)
Rijoly, Monalisa E. (Unknown)
Lesnussa, Yopi Andry (Unknown)
Talakua, Mozart Winston (Unknown)
Ilwaru, Venn Yan Ishak (Unknown)



Article Info

Publish Date
30 Jun 2025

Abstract

This article develops a mathematical model for studying the impact of public awareness and intervention strategies on alcohol consumption patterns. To protect populations from addiction, we are focusing on educational campaigns and interventions. Alcohol consumption cases decrease as the model variable awareness susceptible class is increased through awareness campaigns and interventions. The nonnegativity and boundedness of the model's solutions are analyzed. A qualitative analysis of the model's equilibrium points and the alcohol reproductive number, R0, was performed. Global stability was analyzed for alcohol consumption at the positive equilibrium point via a suitable Lyapunov function. When the alcohol reproductive number (R0) is less than one, the alcohol-free equilibrium is globally asymptotically stable; otherwise, it is unstable. Although educational campaigns protect vulnerable people, their impact on the model is substantial. The simulation shows that the intervention directly and drastically reduces the target alcoholic population.

Copyrights © 2025






Journal Info

Abbrev

indocam

Publisher

Subject

Computer Science & IT Engineering Mathematics

Description

Indonesian Journal of Computational and Applied Mathematics covers a broad spectrum of topics at the intersection of mathematics, computation, and applied research. We invite submissions in areas such as: 1. Mathematical Modeling and Simulation Mathematical modeling and simulation involve developing ...