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.
Publisher
Universiti Putra Malaysia
Reference24 articles.
1. A. Adamu & M. Temesgen (2014). Divorce in east Gojjam zone: rates, causes and consequences. Wudpecker Journal of Sociology and Anthropology, 2(1), 8–16.
2. M. Ahmed, M. Hazlina & M. Rashid (2016). Mathematical modeling and control of active suspension system for a quarter car railway vehicle. Malaysian Journal of Mathematical Sciences, 10(5), 227–241.
3. J. Anderson (2014). The impact of family structure on the health of children: Effects of divorce. The Linacre Quarterly, 81(4), 378–387. https://doi.org/10.1179/0024363914Z. 00000000087.
4. J. Bebernes (1979). The stability of dynamical systems (J. P. Lasalle). SIAM Review, 21(3), 418–420.
5. H. W. Berhe, O. D. Makinde & D. M. Theuri (2019). Co-dynamics of measles and dysentery diarrhea diseases with optimal control and cost-effectiveness analysis. Applied Mathematics and Computation, 347, 903–921. https://doi.org/10.1016/j.amc.2018.11.049.
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