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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 91

Mathematical modeling of cancer and hepatitis co-dynamics with non-local and non-singular kernel

Ebenezer Bonyah, Rahat Zarin, Fatmawati -

PDF (317.9 KB) https://doi.org/10.28919/cmbn/5029

Abstract

Cancer and hepatitis are increasingly becoming a global threat and reducing the total workforce in the world. Atangana-Baleanu in Caputo sense (ABC) is employed to examine the co-infection model of cancer and hepatitis dynamics. The Banach space theory is used to establish the existence and uniqueness solutions of the co-infected model. The stability analysis and reproductive number is investigated. Numerical simulation based on Adams-Moulton rule is made use to obtain qualitative information on the co-infected model. The numerical solution results suggest that the fractional order values and the chosen parameter values have influence on the dynamics of cancer and hepatitis cells in the human body.

Published
27 November 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Ebenezer Bonyah, Rahat Zarin, Fatmawati -. 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. Bonyah, R. Zarin, F. -, Mathematical modeling of cancer and hepatitis co-dynamics with non-local and non-singular kernel, Commun. Math. Biol. Neurosci. 2020 (2020), 91. https://doi.org/10.28919/cmbn/5029

BibTeX
@article{Bonyah2020,
  author  = {Bonyah, Ebenezer and Zarin, Rahat and -, Fatmawati},
  title   = {Mathematical modeling of cancer and hepatitis co-dynamics with non-local and non-singular kernel},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {91},
  doi     = {10.28919/cmbn/5029}
}