Optimal Control Strategy for a Discrete Time Smoking Model with Specific Saturated Incidence Rate
Joint Authors
Rachik, Mostafa
Balatif, Omar
Labzai, Abderrahim
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The aim of this paper is to study and investigate the optimal control strategy of a discrete mathematical model of smoking with specific saturated incidence rate.
The population that we are going to study is divided into five compartments: potential smokers, light smokers, heavy smokers, temporary quitters of smoking, and permanent quitters of smoking.
Our objective is to find the best strategy to reduce the number of light smokers, heavy smokers, and temporary quitters of smoking.
We use three control strategies which are awareness programs through media and education, treatment, and psychological support with follow-up.
Pontryagins maximum principle in discrete time is used to characterize the optimal controls.
The numerical simulation is carried out using MATLAB.
Consequently, the obtained results confirm the performance of the optimization strategy.
American Psychological Association (APA)
Labzai, Abderrahim& Balatif, Omar& Rachik, Mostafa. 2018. Optimal Control Strategy for a Discrete Time Smoking Model with Specific Saturated Incidence Rate. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1152724
Modern Language Association (MLA)
Labzai, Abderrahim…[et al.]. Optimal Control Strategy for a Discrete Time Smoking Model with Specific Saturated Incidence Rate. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1152724
American Medical Association (AMA)
Labzai, Abderrahim& Balatif, Omar& Rachik, Mostafa. Optimal Control Strategy for a Discrete Time Smoking Model with Specific Saturated Incidence Rate. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1152724
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152724