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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 15

A mathematical model analysis of marriage divorce

Haileyesus Tessema, Issaka Haruna, Shaibu Osman, Endeshaw Kassa

PDF (470.3 KB) https://doi.org/10.28919/cmbn/6851

Abstract

In this paper, a deterministic model for the marriage divorce in a population is proposed and analysed qualitatively using the stability theory of differential equations. The basic reproduction number with respect to the divorce free equilibrium was obtained using next generation matrix approach. The conditions for local and global asymptotic stability of divorce free and endemic equilibria were established. The model exhibits backward bifurcation and the sensitivity indices of the parameters with respect to eradicating or spreading divorce in marriage was determined. Numerical simulation was performed and displayed graphically to justify the analytical results.

Published
7 February 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Haileyesus Tessema, Issaka Haruna, Shaibu Osman, Endeshaw Kassa. 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

H. Tessema, I. Haruna, S. Osman, E. Kassa, A mathematical model analysis of marriage divorce, Commun. Math. Biol. Neurosci. 2022 (2022), 15. https://doi.org/10.28919/cmbn/6851

BibTeX
@article{Tessema2022,
  author  = {Tessema, Haileyesus and Haruna, Issaka and Osman, Shaibu and Kassa, Endeshaw},
  title   = {A mathematical model analysis of marriage divorce},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {15},
  doi     = {10.28919/cmbn/6851}
}