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Mathematical Modeling and Analysis of an Alcohol Drinking Model with the Influence of Alcohol Treatment Centers
Joint Authors
Rachik, Mostafa
Balatif, Omar
Labzai, Abderrahim
Khajji, Bouchaib
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, we present a continuous mathematical model PMHTrTpQ of alcohol drinking with the influence of private and public addiction treatment centers.
We study the dynamical behavior of this model and we discuss the basic properties of the system and determine its basic reproduction number R0.
We also study the sensitivity analysis of model parameters to know the parameters that have a high impact on the reproduction number R0.
The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at drinking-free equilibrium E0 when R0≤1.
When R0>1, drinking present equilibrium E∗ exists and the system is locally as well as globally asymptotically stable at alcohol present equilibrium E∗.
American Psychological Association (APA)
Khajji, Bouchaib& Labzai, Abderrahim& Balatif, Omar& Rachik, Mostafa. 2020. Mathematical Modeling and Analysis of an Alcohol Drinking Model with the Influence of Alcohol Treatment Centers. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1172656
Modern Language Association (MLA)
Khajji, Bouchaib…[et al.]. Mathematical Modeling and Analysis of an Alcohol Drinking Model with the Influence of Alcohol Treatment Centers. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1172656
American Medical Association (AMA)
Khajji, Bouchaib& Labzai, Abderrahim& Balatif, Omar& Rachik, Mostafa. Mathematical Modeling and Analysis of an Alcohol Drinking Model with the Influence of Alcohol Treatment Centers. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1172656
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172656