  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.
