Mathematical Modelling of the Drinking Behaviour Effect on Society

Abstract

. This paper presents an analysis of poverty dynamics in conjunction with populations affected by alcohol consumption using a deterministic perspective. A mathematical model is developed based on assumptions about the behaviour and challenges faced by individuals struggling with alcohol addiction and poverty. Our primary focus is examining how impoverished individuals can overcome alcohol addiction and reduce poverty within a specific area. We provide a comprehensive description of the model, emphasizing the existence and stability of different equilibria. Additionally, we conduct numerical simulations to assess the efficacy of our model. To further investigate the impact of critical parameters on the prevalence of illness and the basic reproduction number, we employ sensitivity analysis using PRCC. Our findings are illustrated through numerical simulations, effectively depicting the societal effects of alcohol and poverty through the mathematical model. We support our conclusions with suitable numerical explanations, utilizing visual representations of the respective compartments. We hope that our suggestions can contribute to effective poverty reduction strategies. 2020 Mathematics Subject Classification. 92B05, 34D20.