{
  "abstract": "Work/life balance (WLB) remains a central yet elusive concept in social and organizational sciences, often described qualitatively without a unified quantitative framework. To address this gap, a novel compartmental mathematical model is proposed that formalizes WLB as a dynamic population-level phenomenon. The individuals are categorized into 4 compartments, namely, regularly employed, temporarily employed, imbalanced (infected), and balanced (recovered), representing balanced and imbalanced states. Role-based complaints govern the transitions between states, the conflict conversion rates of these complaints, and the recovery rate. The model, structured as a system of nonlinear ordinary differential equations, is analyzed for the existence of the equilibrium and its stability. In the analysis, the stable disease-free equilibrium is found to exist, representing complete societal balance. The other endemic equilibrium is shown to be infeasible through simulations and thus requires certain parameter constraints, which represent a specific scenario that may occur in the population. However, it is found that the endemic equilibrium always remains unstable. The model's ability to quantify how micro-level stressors spread into macro-level imbalance is demonstrated by numerical simulations, which also validate the analytical results. This work establishes a rigorous mathematical foundation for WLB, enabling future empirical and mathematical calibrations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01091",
  "author_total": 2,
  "authors": [
    {
      "name": "Francy Singla"
    },
    {
      "name": "Vivek Kumar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ab8pqnewktrtn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01091",
  "fulltext_url": null,
  "id": "ab8pqnewktrtn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01091",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01091",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ab8pqnewktrtn.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01091",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01091"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Understanding Work/Life Balance Through Mathematical Model",
  "title_text": "Understanding Work/Life Balance Through Mathematical Model",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/ab8pqnewktrtn",
  "venue": "arXiv",
  "versions": []
}