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The influence of new drinkers' peer groups on a mathematical model of alcoholism epidemics |
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| รหัสดีโอไอ | |
| Creator | Kanyarat Noochum |
| Title | The influence of new drinkers' peer groups on a mathematical model of alcoholism epidemics |
| Contributor | Purinchaya Wisutsiri |
| Publisher | Mahasarakham University |
| Publication Year | 2569 |
| Journal Title | Journal of Science and Technology Mahasarakham University |
| Journal Vol. | 45 |
| Journal No. | 4 |
| Page no. | 534-544 |
| Keyword | Mathematical model, alcoholism epidemic, equilibrium point, basic reproduction number |
| URL Website | https://li01.tci-thaijo.org/index.php/scimsujournal |
| Website title | Journal of Science and Technology Mahasarakham University |
| ISSN | 1686-9664 (Print), 2586-9795(Online) |
| Abstract | This research develops and analyzes a mathematical model for alcohol addiction transmission among new drinkers using standard methodology. The population is divided into five groups: susceptible individuals, new drinkers, heavy drinkers, those in treatment, and recovered individuals. The resulting model comprises nonlinear ordinary differential equations. Analysis includes equilibrium points, basic reproduction numbers (using next generation and spectral radius methods), and stability determination via Routh-Hurwitz criteria. Results indicate that an alcohol-free equilibrium point is locally asymptotically stable when R0 = 0.0879 < 1, while an alcohol-present equilibrium becomes stable when R0 = 1.1069 > 1. The findings suggest that reducing the rate of interaction with a group of drinkers will reduce the outbreak of alcohol addiction. |
