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2020 Stability and Global Sensitivity Analysis for an Agree-Disagree Model: Partial Rank Correlation Coefficient and Latin Hypercube Sampling Methods
Sara Bidah, Omar Zakary, Mostafa Rachik
Int. J. Differ. Equ. 2020: 1-14 (2020). DOI: 10.1155/2020/5051248

Abstract

In this paper, we present a new mathematical model that describes agree-disagree opinions during polls. We first present the model and its different compartments. Then, we use the next-generation matrix method to compute thresholds of equilibrium stability. We perform the stability analysis of equilibria to determine under which conditions these equilibrium points are stable or unstable. We show that the existence and stability of these equilibria are controlled by the calculated thresholds. Finally, we also perform several computational and statistical experiments to validate the theoretical results obtained in this work. To study the influence of various parameters on these thresholds and to identify the most influential parameters, a global sensitivity analysis is carried out based on the partial rank correlation coefficient method and the Latin hypercube sampling.

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Sara Bidah. Omar Zakary. Mostafa Rachik. "Stability and Global Sensitivity Analysis for an Agree-Disagree Model: Partial Rank Correlation Coefficient and Latin Hypercube Sampling Methods." Int. J. Differ. Equ. 2020 1 - 14, 2020. https://doi.org/10.1155/2020/5051248

Information

Received: 1 January 2020; Accepted: 2 March 2020; Published: 2020
First available in Project Euclid: 14 May 2020

MathSciNet: MR4083296
Digital Object Identifier: 10.1155/2020/5051248

Rights: Copyright © 2020 Hindawi

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