Malaysian Journal of Mathematical Sciences, June 2024, Vol. 18, No. 2
Dynamics of a Social Model for Marriage and Divorce Relationship with Fear Effect
Helal, M. M., Yaseen, R. M., Mohsen, A. A., AL-Husseiny, H. F., and Sabbar, Y.
Corresponding Email: aamuhseen@gmail.com
Received date: 26 September 2023
Accepted date: 30 January 2024
Abstract:
The objective of this article is to delve into the intricate dynamics of marriage
relationships, exploring the impact of emotions such as fear, love, financial considerations and likability. In our investigation, we adopt a perspective that acknowledges the nonlinear nature of interactions among individuals. Diverging from certain prior studies, we propose that the
fear element within the context of marriage is not a singular, isolated factor but rather
a manifestation resulting from the amalgamation of numerous social issues. This, in turn, contributes to the emergence of strained and unsuccessful relationships. Unlike conventional approaches, we extensively examine the conditions essential for the existence of all socially significant equilibrium points. A meticulous analysis is undertaken to elucidate the local and global dynamics of the model in the proximity of these equilibrium points. Furthermore, we explore the nuanced interplay between fear, love, money and likability, emphasizing the sensitivity of marriage relationships to changes in the rates of these factors. The outcomes of such variations
yield a spectrum of intriguing results within the proposed model, adding depth to our understanding of the complexities inherent in the dynamics of marital relationships.
Keywords: social modeling, marriage, divorce, fear factor, stability analysis, bifurcation analysis
