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An urban system mathematical approach with human factor: The case of pedestrianization in a consolidated area

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  • Soares, Ana Jacinta
  • Tosato, Giorgio

Abstract

Promoting pedestrianization in cities and other urban areas is a revitalization strategy to enhance sustainability and liveability in these regions. It improves urban mobility and contributes to the reduction of the environmental impact of transportation. In this paper, we propose the use of a mathematical model for a human-urban system to analyse a case study of ecological management concerning pedestrianization of a consolidated area. The model is endowed of a set of two differential equations for the time evolution of two state variables and presents the novelty of incorporating the human factor, representing the proportion of population in favour to pedestrianization. The other state variable is urban related and represents the proportion of pedestrian areas, correlated to sustainability. We describe the model and discuss its main properties in terms of equilibrium states and their asymptotic stability. Then we consider a case-study and develop its numerical investigation when the mathematical model is applied. The results are interpreted in urban terms and some information is provided about future dynamics. In particular, periodic oscillations associated to limit cycle can appear and their urban fall-out is investigated.

Suggested Citation

  • Soares, Ana Jacinta & Tosato, Giorgio, 2024. "An urban system mathematical approach with human factor: The case of pedestrianization in a consolidated area," Ecological Modelling, Elsevier, vol. 489(C).
    • Handle: RePEc:eee:ecomod:v:489:y:2024:i:c:s0304380024000085
    DOI: 10.1016/j.ecolmodel.2024.110619
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