Modeling the prevalence of alcoholism with compulsory isolation treatment facilities
This paper studies the prevalence of alcoholism in the presence of well established compulsory isolation treatment facilities by means of mathematical modeling. Establishment of these facilities aimed at facilitating smooth recovery process of alcoholics from the state of addictions. For biological...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723002218 |
| _version_ | 1797843836925378560 |
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| author | Maranya M. Mayengo |
| author_facet | Maranya M. Mayengo |
| author_sort | Maranya M. Mayengo |
| collection | DOAJ |
| description | This paper studies the prevalence of alcoholism in the presence of well established compulsory isolation treatment facilities by means of mathematical modeling. Establishment of these facilities aimed at facilitating smooth recovery process of alcoholics from the state of addictions. For biological relevance, a thorough examination of the vector fields of the model system is used to prove the well-posedness of the model. The equilibria of the model and alcohol regeneration ratio, Ra are computed and analyzed qualitatively. The Alcohol-free equilibrium point was proved to be globally asymptotically stable when Ra<1 and unstable otherwise. While the establishment of compulsory isolation treatment facilities offers no protection to Susceptible population, S(t), its significant effects to the model cannot be overemphasized. The numerical simulation suggests that implementation of compulsory isolation treatment facilities is an effective intervention as it has direct effects in the targeted Alcoholic population, A(t) with immediate effects of decreasing the population drastically from its initial quantity. |
| first_indexed | 2024-04-09T17:12:23Z |
| format | Article |
| id | doaj.art-42dee9ac4652443db9510db78005ecde |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-09T17:12:23Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-42dee9ac4652443db9510db78005ecde2023-04-20T04:36:20ZengElsevierResults in Physics2211-37972023-05-0148106428Modeling the prevalence of alcoholism with compulsory isolation treatment facilitiesMaranya M. Mayengo0School of Computational and Communication Sciences and Engineering, The Nelson Mandela African Institution of Science and Technology, P.O. Box 447, Arusha, TanzaniaThis paper studies the prevalence of alcoholism in the presence of well established compulsory isolation treatment facilities by means of mathematical modeling. Establishment of these facilities aimed at facilitating smooth recovery process of alcoholics from the state of addictions. For biological relevance, a thorough examination of the vector fields of the model system is used to prove the well-posedness of the model. The equilibria of the model and alcohol regeneration ratio, Ra are computed and analyzed qualitatively. The Alcohol-free equilibrium point was proved to be globally asymptotically stable when Ra<1 and unstable otherwise. While the establishment of compulsory isolation treatment facilities offers no protection to Susceptible population, S(t), its significant effects to the model cannot be overemphasized. The numerical simulation suggests that implementation of compulsory isolation treatment facilities is an effective intervention as it has direct effects in the targeted Alcoholic population, A(t) with immediate effects of decreasing the population drastically from its initial quantity.http://www.sciencedirect.com/science/article/pii/S2211379723002218AlcoholismMathematical modelAlcoholic regeneration numberParameter estimationNumerical simulation |
| spellingShingle | Maranya M. Mayengo Modeling the prevalence of alcoholism with compulsory isolation treatment facilities Results in Physics Alcoholism Mathematical model Alcoholic regeneration number Parameter estimation Numerical simulation |
| title | Modeling the prevalence of alcoholism with compulsory isolation treatment facilities |
| title_full | Modeling the prevalence of alcoholism with compulsory isolation treatment facilities |
| title_fullStr | Modeling the prevalence of alcoholism with compulsory isolation treatment facilities |
| title_full_unstemmed | Modeling the prevalence of alcoholism with compulsory isolation treatment facilities |
| title_short | Modeling the prevalence of alcoholism with compulsory isolation treatment facilities |
| title_sort | modeling the prevalence of alcoholism with compulsory isolation treatment facilities |
| topic | Alcoholism Mathematical model Alcoholic regeneration number Parameter estimation Numerical simulation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723002218 |
| work_keys_str_mv | AT maranyammayengo modelingtheprevalenceofalcoholismwithcompulsoryisolationtreatmentfacilities |