Stability analysis of a fractional-order model for abstinence behavior of registration on the electoral lists
type: Item
instance of: scholarly article
title: Stability analysis of a fractional-order model for abstinence behavior of registration on the electoral lists
zbMATH Open document ID: 1468.34060
DOI: 10.1155/2020/4325640
author: Omar Balatif
author: L. Boujallal
author: Abderrahim Labzai
author: Mostafa Rachik
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: 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 \(\alpha \).
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 91D10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 7349525
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/4325640
OpenAlex ID: W3035975565
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description: scientific article; zbMATH DE number 7349525