Modelling the Role of Super-Spreaders on the Dynamic of Rumor

Authors

  • Nwaokolo, Martin Afam Federal University Wukari, Taraba, Nigeria.
  • Amos Kwaghfan, Aondover Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria.
  • Gweryina, Reuben Iortyer Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria.

DOI:

https://doi.org/10.57233/ijsgs.v10i1.625

Keywords:

Local Stability, Equilibrium, Rumor, EquilibriumReproduction potential

Abstract

In this study a variant of the model of Borge-Holthoefer et al (2012) on rumor dynamics is formulated, we investigated that two equilibria of the model exist namely: rumor-free equilibrium (RFE) and endemic (rumor) equilibrium. Using the next-generation matrix, we computed the rumor reproduction potential ( ). The local stability analysis of rumor-free equilibrium was done in terms of . Numerical simulation shows that rumors can spread if certain parameters are not reduced. 

Author Biographies

Nwaokolo, Martin Afam, Federal University Wukari, Taraba, Nigeria.

Department of Mathematics and Statistics, Federal University Wukari, Taraba, Nigeria.

Amos Kwaghfan, Aondover, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria.

 College of Sciences, Mathematics /Statistics /Computer Science, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria.

Gweryina, Reuben Iortyer, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria.

College of Sciences, Mathematics /Statistics /Computer Science,

Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria.

Downloads

Published

2024-03-31

How to Cite

Afam, N. M. ., Aondover, A. K., & Iortyer, G. R. . (2024). Modelling the Role of Super-Spreaders on the Dynamic of Rumor. International Journal of Science for Global Sustainability, 10(1), 246–254. https://doi.org/10.57233/ijsgs.v10i1.625

Issue

Vol. 10 No. 1 (2024): INTERNATIONAL JOURNAL OF SCIENCE FOR GLOBAL SUSTAINABILITY

Section

Articles

License

Copyright (c) 2024 Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.