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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2018 (2018)

Commun. Math. Biol. Neurosci. 2018 (2018), Article ID 22

Analyzing the dynamics of Ebola transmission with random effects

Mehmet Merdan, Zafer Bekiryazici, Tulay Kesemen, Tahir Khaniyev

PDF (1.2 MB) https://doi.org/10.28919/cmbn/3822

Abstract

In this study, a deterministic mathematical model of Ebola transmission is analyzed under random effects. A recent compartmental model of Berge et al. incorporates both direct and indirect transmission in the model. We assume the parameters of this model are normally distributed random variables to investigate the random behavior of disease transmission. Random differential transformation method is used to obtain the approximate expectation of disease recovery. Furthermore, the approximation for expected recovery is modified by using Laplace-Pade method. Comparison of results indicate that the Laplace-Pade modification provides a better approximation. We also interpret the long term random behavior of the disease dynamics using simulation results.

Published
22 November 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 Mehmet Merdan, Zafer Bekiryazici, Tulay Kesemen, Tahir Khaniyev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Merdan, Z. Bekiryazici, T. Kesemen, T. Khaniyev, Analyzing the dynamics of Ebola transmission with random effects, Commun. Math. Biol. Neurosci. 2018 (2018), 22. https://doi.org/10.28919/cmbn/3822

BibTeX
@article{Merdan2018,
  author  = {Merdan, Mehmet and Bekiryazici, Zafer and Kesemen, Tulay and Khaniyev, Tahir},
  title   = {Analyzing the dynamics of Ebola transmission with random effects},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2018},
  year    = {2018},
  pages   = {22},
  doi     = {10.28919/cmbn/3822}
}