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A Compartmental Model of Cycling Adoption with Social and Contextual Drivers

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  • Eduardo S Rodriguez-Canales

    (DANCE - Dynamics and Control of Networks - Centre Inria de l'Université Grenoble Alpes - Inria - Institut National de Recherche en Informatique et en Automatique - GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic - GIPSA-lab - Grenoble Images Parole Signal Automatique - CNRS - Centre National de la Recherche Scientifique - UGA - Université Grenoble Alpes - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - UGA - Université Grenoble Alpes)

  • Paolo Frasca

    (DANCE - Dynamics and Control of Networks - Centre Inria de l'Université Grenoble Alpes - Inria - Institut National de Recherche en Informatique et en Automatique - GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic - GIPSA-lab - Grenoble Images Parole Signal Automatique - CNRS - Centre National de la Recherche Scientifique - UGA - Université Grenoble Alpes - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - UGA - Université Grenoble Alpes)

  • Alain Y Kibangou

    (DANCE - Dynamics and Control of Networks - Centre Inria de l'Université Grenoble Alpes - Inria - Institut National de Recherche en Informatique et en Automatique - GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic - GIPSA-lab - Grenoble Images Parole Signal Automatique - CNRS - Centre National de la Recherche Scientifique - UGA - Université Grenoble Alpes - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - UGA - Université Grenoble Alpes)

Abstract

Policies promoting green transportation, particularly cycling, are gaining importance in the context of climate change. In order to elucidate the mechanisms behind cycling adoption, this paper proposes a novel compartmental model, which incorporates the time-varying effects of both social influence and contextual factors. We provide a mathematical analysis of the model, showing global convergence to an equilibrium. We also developed a case study of Grenoble, France, which showcases the model's ability to characterize cycling adoption dynamics, highlighting its potential to support sustainable transportation policy design.

Suggested Citation

  • Eduardo S Rodriguez-Canales & Paolo Frasca & Alain Y Kibangou, 2026. "A Compartmental Model of Cycling Adoption with Social and Contextual Drivers," Post-Print hal-05622159, HAL.
    • Handle: RePEc:hal:journl:hal-05622159
    Note: View the original document on HAL open archive server: https://hal.science/hal-05622159v1
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