Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists

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: O. Balatif, L. Boujallal, A. Labzai, M. Rachik
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2020/4325640
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spelling doaj-ed2757d22e704530acb7bdc5dc3d8f8f2020-11-25T03:07:24ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author O. Balatif
L. Boujallal
A. Labzai
M. Rachik
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
author_facet O. Balatif
L. Boujallal
A. Labzai
M. Rachik
author_sort O. Balatif
title 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_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_sort stability analysis of a fractional-order model for abstinence behavior of registration on the electoral lists
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2020-01-01
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.
url http://dx.doi.org/10.1155/2020/4325640
work_keys_str_mv AT obalatif stabilityanalysisofafractionalordermodelforabstinencebehaviorofregistrationontheelectorallists
AT lboujallal stabilityanalysisofafractionalordermodelforabstinencebehaviorofregistrationontheelectorallists
AT alabzai stabilityanalysisofafractionalordermodelforabstinencebehaviorofregistrationontheelectorallists
AT mrachik stabilityanalysisofafractionalordermodelforabstinencebehaviorofregistrationontheelectorallists
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