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

Author

Listed:
  • 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
    Institute of Mathematics & Computer Science, University of Sindh, Jamshoro 76080, 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)

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.

Suggested Citation

  • Chih-Wen Chang & Zohaib Ali Qureshi & Sania Qureshi & Asif Ali Shaikh & Muhammad Yaqoob Shahani, 2024. "Real-Data-Based Study on Divorce Dynamics and Elimination Strategies Using Nonlinear Differential Equations," Mathematics, MDPI, vol. 12(16), pages 1-23, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2552-:d:1458776
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    References listed on IDEAS

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    1. Hailay Weldegiorgis Berhe & Oluwole Daniel Makinde & David Mwangi Theuri, 2019. "Parameter Estimation and Sensitivity Analysis of Dysentery Diarrhea Epidemic Model," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-13, February.
    2. J. C. Helton & F. J. Davis, 2002. "Illustration of Sampling‐Based Methods for Uncertainty and Sensitivity Analysis," Risk Analysis, John Wiley & Sons, vol. 22(3), pages 591-622, June.
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