Malaysian Journal of Mathematical Sciences, June 2023, Vol. 17, No. 2
Asymptotic Study of Divorce Model with Pre-Marriage Preparedness as Control
Michael U. E., Omenyi L. O. , Nwaeze E., Elebute K. O., Oyahkire F., Ozoigbo G., and Ekahtor M.
Corresponding Email: michael.uchenna@funai.edu.ng
Received date: 10 June 2022
Accepted date: 15 March 2023
Abstract:
Peaceful cohabitation in a marriage institution is challenged with separation/divorce because of distinct individual psychological build-up. A deterministic model for the divorce epidemic was proposed using standard incidence as a forcing function. The stability theory of differential equations was used to perform the model analysis qualitatively on which the equilibria obtained are locally and globally stable. Bifurcation and sensitivity analysis of the model were performed; parameters responsible for managing and eradicating the spread of divorce in marriages were determined. A numerical simulation was performed with results that showed pre-marriage preparedness and conscientious growth in tolerance of individual differences as a stabilizer to marriages.
Keywords: mathematical modeling; divorce; equilibria; reproduction number; sensitivity analysis; bifurcation
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