On the evolution of spatially distributed urban populations: Modelling and mathematical analysis
LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Language
en
Article de revue
This item was published in
Nonlinear Analysis: Real World Applications. 2009, vol. 10, p. 2945-2960
Elsevier
English Abstract
This paper deals with the construction and mathematical analysis of a new model for urban dynamics, which extends an initial one proposed by Y. Miyata and S. Yamaguchi in the context of a region of Japan. This new model ...Read more >
This paper deals with the construction and mathematical analysis of a new model for urban dynamics, which extends an initial one proposed by Y. Miyata and S. Yamaguchi in the context of a region of Japan. This new model includes spatial continuous structure and distinguishes two different time scales for the different processes taken into account: a slow one for the demography and a fast scale for the migration of individuals. Asymptotic behavior of solutions and stability of equilibria are established as a result of the combined action of demography and migration on population density and employment.Read less <
English Keywords
Monotone semiflows
Urban dynamics
Spatial structure
Origin
Hal imported