Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists
In this work, we propose a fractional-order model that describes the dynamics of citizens who have the right to register on the electoral lists and the negative influence of abstainers on the potential electors. By using Routh–Hurwitz criteria and constructing Lyapunov functions, the local and the g...
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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: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2020/4325640 |
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| _version_ | 1849690805881536512 |
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| author | O. Balatif L. Boujallal A. Labzai M. Rachik |
| author_facet | O. Balatif L. Boujallal A. Labzai M. Rachik |
| author_sort | O. Balatif |
| collection | DOAJ |
| description | In this work, we propose a fractional-order model that describes the dynamics of citizens who have the right to register on the electoral lists and the negative influence of abstainers on the potential electors. By using Routh–Hurwitz criteria and constructing Lyapunov functions, the local and the global stability of abstaining-free equilibrium and abstaining equilibrium are obtained. Finally, some numerical simulations are performed to verify the theoretical analysis, and they are given for different parameter setting of the order of derivative α. |
| format | Article |
| id | doaj-art-ed2757d22e704530acb7bdc5dc3d8f8f |
| institution | DOAJ |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-ed2757d22e704530acb7bdc5dc3d8f8f2025-08-20T03:21:12ZengWileyInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/43256404325640Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral ListsO. Balatif0L. Boujallal1A. Labzai2M. Rachik3Laboratory of Dynamical Systems, Mathematical Engineering Team, Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, MoroccoDepartment of Mathematics, Faculty of Sciences Ain Chock, University Hassan II, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation, Department of Mathematics, Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Mohammedia, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation, Department of Mathematics, Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Mohammedia, Casablanca, MoroccoIn this work, we propose a fractional-order model that describes the dynamics of citizens who have the right to register on the electoral lists and the negative influence of abstainers on the potential electors. By using Routh–Hurwitz criteria and constructing Lyapunov functions, the local and the global stability of abstaining-free equilibrium and abstaining equilibrium are obtained. Finally, some numerical simulations are performed to verify the theoretical analysis, and they are given for different parameter setting of the order of derivative α.http://dx.doi.org/10.1155/2020/4325640 |
| spellingShingle | O. Balatif L. Boujallal A. Labzai M. Rachik Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists International Journal of Differential Equations |
| title | Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists |
| title_full | Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists |
| title_fullStr | Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists |
| title_full_unstemmed | Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists |
| title_short | Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists |
| title_sort | stability analysis of a fractional order model for abstinence behavior of registration on the electoral lists |
| url | http://dx.doi.org/10.1155/2020/4325640 |
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