학술논문

A return-to-home model with commuting people and workers
Document Type
Original Paper
Author
Source
Journal of Mathematical Biology. 88(1)
Subject
Return-to-home model
Intra-city-mobility
Diffusion convection equation
35Q92
37N25
92Bxx
Language
English
ISSN
0303-6812
1432-1416
Abstract
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.