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

Chih-Wen Chang (), Zohaib Ali Qureshi, Sania Qureshi (), Asif Ali Shaikh and Muhammad Yaqoob Shahani
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Chih-Wen Chang: Department of Mechanical Engineering, National United University, Miaoli 360302, Taiwan
Zohaib Ali Qureshi: Department of Basic Sciences and Related Studies, Mehran University of Engineering & Technology, Jamshoro 76062, Pakistan
Sania Qureshi: Department of Computer Science and Mathematics, Lebanese American University, Beirut P.O. Box 13-5053, Lebanon
Asif Ali Shaikh: Department of Basic Sciences and Related Studies, Mehran University of Engineering & Technology, Jamshoro 76062, Pakistan
Muhammad Yaqoob Shahani: Department of Anatomy, Liaquat University of Medical and Health Sciences, Jamshoro 76090, Pakistan

Mathematics, 2024, vol. 12, issue 16, 1-23

Abstract: 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.

Keywords: basic reproduction number; existence and uniqueness; stability; sensitivity; PRCC; numerical simulations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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