A mathematical model analysis of marriage divorce

Haileyesus Tessema, Issaka Haruna, Shaibu Osman, Endeshaw Kassa

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.

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Published: 2022-02-07

How to Cite this Article:

Haileyesus Tessema, Issaka Haruna, Shaibu Osman, Endeshaw Kassa, A mathematical model analysis of marriage divorce, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 15

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.

Commun. Math. Biol. Neurosci.

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