Mathematical Modeling of the Spread of Alcoholism Among Colombian College Students
In this paper, we present a nonlinear mathematical model, describing the spread of high-risk alcohol consumption behavior among college students in Colombia. We proved the existence and stability of the alcohol-free and drinking state equilibrium by means of Lyapunov function and LaSalle’s invarianc...
- Autores:
-
Pérez, Edgardo
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/25811
- Acceso en línea:
- http://hdl.handle.net/10784/25811
- Palabra clave:
- Alcohol consumption
mathematical modeling
nonlinear dynamical systems
optimal control
basic reproduction number
numerical simulations
Consumo de alcohol
modelamiento matemático
sistemas dinámicos no lineales
control óptimo
número reproductivobásico
simulaciones numéricas
- Rights
- openAccess
- License
- Copyright © 2020 Edgardo Pérez
| Summary: | In this paper, we present a nonlinear mathematical model, describing the spread of high-risk alcohol consumption behavior among college students in Colombia. We proved the existence and stability of the alcohol-free and drinking state equilibrium by means of Lyapunov function and LaSalle’s invariance principle. Also, we apply optimal control to study the impact of a preventive measure on the spread of drinking behavior among college students. Finally, we use numerical simulations and available data provided by the United Nations Office on Drugs and Crime (UNODC) and the Colombian Ministry of Justice to validate the obtained mathematical model. |
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