A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control
The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9385261 |
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| author | Mustapha Lhous Omar Zakary Mostafa Rachik |
| author_facet | Mustapha Lhous Omar Zakary Mostafa Rachik |
| author_sort | Mustapha Lhous |
| collection | DOAJ |
| description | The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. The modelling and the control process of the system that describes the case of monogamous marriages in a multiregion framework are considered. Two combined control strategies are proposed, which allow reducing the virgin and divorced individuals and increasing the number of married individuals in a specific region. The first control is considered as the impact of public awareness campaigns to educate virgin men and women about the benefits of marriage for the individual and the society; the second control characterizes the legal procedures, administrative complications, and the heavy financial and social consequences of divorces. The optimal control theory is applied to characterize such optimal strategies and determined numerically using a progressive-regressive discrete scheme to discuss the obtained results. |
| format | Article |
| id | doaj-art-dab402e7932b48968888eb6500cfd4ca |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-dab402e7932b48968888eb6500cfd4ca2025-02-03T01:27:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/93852619385261A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and ControlMustapha Lhous0Omar Zakary1Mostafa Rachik2Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, University Hassan II Casablanca, Casablanca, MoroccoDepartment of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, University Hassan II Casablanca, Casablanca, MoroccoDepartment of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, University Hassan II Casablanca, Casablanca, MoroccoThe main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. The modelling and the control process of the system that describes the case of monogamous marriages in a multiregion framework are considered. Two combined control strategies are proposed, which allow reducing the virgin and divorced individuals and increasing the number of married individuals in a specific region. The first control is considered as the impact of public awareness campaigns to educate virgin men and women about the benefits of marriage for the individual and the society; the second control characterizes the legal procedures, administrative complications, and the heavy financial and social consequences of divorces. The optimal control theory is applied to characterize such optimal strategies and determined numerically using a progressive-regressive discrete scheme to discuss the obtained results.http://dx.doi.org/10.1155/2020/9385261 |
| spellingShingle | Mustapha Lhous Omar Zakary Mostafa Rachik A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control Discrete Dynamics in Nature and Society |
| title | A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control |
| title_full | A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control |
| title_fullStr | A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control |
| title_full_unstemmed | A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control |
| title_short | A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control |
| title_sort | mathematical overview of the monogamous marriage in a multiregion framework modelling and control |
| url | http://dx.doi.org/10.1155/2020/9385261 |
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