 Dynamics of an opinion model with threshold-type delayRedouane Qesmi Chaos, Solitons & Fractals, 2021, vol. 142, issue C Abstract: The process of opinion formation rarely boils down to accepting or rejecting the social consensus of others, despite the considerable research (since Sch, 1956 [5]) that has been focused on such situations. In this paper, we propose a mathematical model of threshold-type delay differential equations describing the relationship between two subpopulations with opposite opinions and the opinion spread dynamics. We study the quantitative as well as qualitative properties of our model, and we present results on positivity and boundedness, local stability of equilibria and global stability of the boundary state under certain conditions. Further analysis of the model show that the system exhibits either a forward transcritical or a backward bifurcation. Furthermore, numerical simulations and sensitivity analysis are performed to study the impact of the relevant parameters of the model on the achievement of the consensus. Keywords: Opinion; Consensus; Functional differential equation; Threshold-type delay; Transcritical forward bifurcation; Backward bifurcation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920307736 DOI: 10.1016/j.chaos.2020.110379 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.