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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 60

A Caputo based SIRS and SIS fractional order models with standard incidence rate and varying population

Eric Okyere, Joseph Ackora-Prah, Francis Tabi Oduro

PDF (4.2 MB) https://doi.org/10.28919/cmbn/4850

Abstract

In the present work, we have introduced and studied two epidemic models that are constructed with Caputo fractional derivative. We considered standard incidence rate and varying population dynamics for SIS and SIRS mathematical models. Model equilibria, basic reproduction numbers are determined and local stability analysis are established for the two fractional dynamical models. Finally, the efficient fracPECE iterative scheme for fractional order deterministic dynamical models is applied to perform numerical simulations.

Published
2 September 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Eric Okyere, Joseph Ackora-Prah, Francis Tabi Oduro. 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

E. Okyere, J. Ackora-Prah, F. T. Oduro, A Caputo based SIRS and SIS fractional order models with standard incidence rate and varying population, Commun. Math. Biol. Neurosci. 2020 (2020), 60. https://doi.org/10.28919/cmbn/4850

BibTeX
@article{Okyere2020,
  author  = {Okyere, Eric and Ackora-Prah, Joseph and Oduro, Francis Tabi},
  title   = {A Caputo based SIRS and SIS fractional order models with standard incidence rate and varying population},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {60},
  doi     = {10.28919/cmbn/4850}
}