Mathematical Modeling, Analysis, and Optimal Control of Abstinence Behavior of Registration on the Electoral Lists
Joint Authors
Rachik, Mostafa
Balatif, Omar
Khajji, Bouchaib
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We propose a mathematical model that describes the dynamics of citizens who have the right to register on the electoral lists and participate in the political process and the negative influence of abstainers, who abstain from registration on the electoral lists, on the potential electors.
By using Routh–Hurwitz criteria and constructing Lyapunov functions, the local stability and the global stability of abstaining-free equilibrium and abstaining equilibrium are obtained.
We also study the sensitivity analysis of the model parameters to know the parameters that have a high impact on the reproduction number ℜ0.
In addition, we propose an optimal strategy for an awareness program that helps politicians and officials to increase the rate of citizens registered on the electoral lists with an optimal effort.
Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method.
Finally, some numerical simulations are performed to verify the theoretical analysis using Matlab.
American Psychological Association (APA)
Balatif, Omar& Khajji, Bouchaib& Rachik, Mostafa. 2020. Mathematical Modeling, Analysis, and Optimal Control of Abstinence Behavior of Registration on the Electoral Lists. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153685
Modern Language Association (MLA)
Balatif, Omar…[et al.]. Mathematical Modeling, Analysis, and Optimal Control of Abstinence Behavior of Registration on the Electoral Lists. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1153685
American Medical Association (AMA)
Balatif, Omar& Khajji, Bouchaib& Rachik, Mostafa. Mathematical Modeling, Analysis, and Optimal Control of Abstinence Behavior of Registration on the Electoral Lists. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1153685
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153685