A return-to-home model with commuting people and workers. (English) Zbl 1529.35524
Summary: This article proposes a new model to describe human intra-city mobility. The goal is to combine the convection-diffusion equation to describe commuting people’s movement and the density of individuals at home. We propose a new model extending our previous work with a compartment of office workers. To understand such a model, we use semi-group theory and obtain a convergence result of the solutions to an equilibrium distribution. We conclude this article by presenting some numerical simulations of the model.
MSC:
| 35Q91 | PDEs in connection with game theory, economics, social and behavioral sciences |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 91D10 | Models of societies, social and urban evolution |
| 92D25 | Population dynamics (general) |
| 37N25 | Dynamical systems in biology |
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