Stability and Global Sensitivity Analysis for an Agree-Disagree Model: Partial Rank Correlation Coefficient and Latin Hypercube Sampling Methods
Joint Authors
Bidah, Sara
Zakary, Omar
Rachik, Mostafa
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bidah, Sara& Zakary, Omar& Rachik, Mostafa. 2020. Stability and Global Sensitivity Analysis for an Agree-Disagree Model: Partial Rank Correlation Coefficient and Latin Hypercube Sampling Methods. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1169934
Modern Language Association (MLA)
Bidah, Sara…[et al.]. Stability and Global Sensitivity Analysis for an Agree-Disagree Model: Partial Rank Correlation Coefficient and Latin Hypercube Sampling Methods. International Journal of Differential Equations No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1169934
American Medical Association (AMA)
Bidah, Sara& Zakary, Omar& Rachik, Mostafa. Stability and Global Sensitivity Analysis for an Agree-Disagree Model: Partial Rank Correlation Coefficient and Latin Hypercube Sampling Methods. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1169934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169934