ICCK

Ajay Ranga

J.C. Bose University of Sciences and Technology, YMCA, Faridabad, India

Section 01

Academic Profile

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Section 02

Editorial Roles

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Section 03

ICCK Publications

Free Access | Research Article | 10 December 2025 | Cited: Crossref logo  1 , Scopus 1
A Nonlinear Dynamical Model of Divorce Due to Extra-Marital Affairs with Long-Distance and Age-Structured Influences
Journal of Nonlinear Dynamics and Applications | Volume 1, Issue 2: 76-98, 2025 | DOI: 10.62762/JNDA.2025.544526
Abstract
This study introduces an age-structured compartmental model that analyzes transitions among stable marriages, long-distance relationships, extra-marital affairs, and divorce. Key behavioral parameters include $\lambda$ (transition to long-distance), $\delta$ (reunification), $\alpha_1$ and $\alpha_2$ (affair formation), $\beta$ (reconciliation), $\gamma$ (affair-driven divorce), and $\mu$ (non-affair divorce). The unmarried women's pool is structured by age, governed by an engagement function $\theta(a)$ and inflow $\Lambda(a)$. A nonlinear differential equation system captures how behavioral mechanisms collectively drive marital dynamics over time. Numerical simulations show that higher $\b... More >

Graphical Abstract
A Nonlinear Dynamical Model of Divorce Due to Extra-Marital Affairs with Long-Distance and Age-Structured Influences