Real-Data-Based Study on Divorce Dynamics and Elimination Strategies Using Nonlinear Differential Equations

This paper presents a novel approach to studying divorce dynamics and elimination strategies using nonlinear differential equations. A mathematical model is formulated to capture the key factors influencing divorce rates. The model undergoes a rigorous theoretical analysis, including parameter estim...

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Bibliographic Details
Published in:Mathematics (Basel) 2024-08, Vol.12 (16), p.2552
Main Authors: Chang, Chih-Wen, Zohaib Ali Qureshi, Qureshi, Sania, Asif Ali Shaikh, Muhammad Yaqoob Shahani
Format: Article
Language:English
Subjects:
Annulment
basic reproduction number
Cohabitation
Divorce
Epidemiology
existence and uniqueness
Families & family life
Longitudinal studies
Marital stability
Marriage
Mathematical models
Nonlinear differential equations
Nonlinear dynamics
numerical simulations
Ordinary differential equations
Parameter estimation
Parameter sensitivity
Personal relationships
PRCC
Qualitative analysis
sensitivity
Sensitivity analysis
Social networks
stability
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Summary:This paper presents a novel approach to studying divorce dynamics and elimination strategies using nonlinear differential equations. A mathematical model is formulated to capture the key factors influencing divorce rates. The model undergoes a rigorous theoretical analysis, including parameter estimation, solution existence/uniqueness, positivity, boundedness, and invariant regions. A qualitative analysis explores equilibria, stability conditions, and a sensitivity analysis. Numerical simulations and discussions are presented to validate the model and shed light on divorce dynamics. Finally, conclusions and future research directions are outlined. This work offers valuable insights for understanding and potentially mitigating divorce rates through targeted interventions.
ISSN:2227-7390
DOI:10.3390/math12162552