A conjugate method for simulating the dynamics of stochastic urban spatial network models

H. de la Cruz and M. Muñoz

Chaos, Solitons & Fractals, 2024, vol. 187, issue C

Abstract: Urban networks are integral components of urban systems, contributing to their functioning and shaping the overall dynamics of urban areas. They are characterized by their complexity, interdependence, and dynamic nature. The construction, analysis and understanding of urban network models is therefore essential to address complex urban challenges, fostering sustainable development, and improving the overall quality of life in systems like cities and regions. In this work, we present and analyze the properties of a stochastic spatial-interaction model of urban structures. In addition, we devise a suitable time-stepping integrator that allows analyzing the evolution of this stochastic system at large times intervals, providing information of the dynamical behavior of the system in its equilibrium state. Numerical simulation studies are carried out to illustrate the practical effectiveness of the proposed approach.

Keywords: Stochastic systems; Numerical methods; Random differential equations; Stationary distribution; Ergodicity; Urban networks modeling (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009822

DOI: 10.1016/j.chaos.2024.115430

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