title: A dynamic population model incorporating a variety of urban functions.
abstract: "This paper aims to investigate the theoretical background of Allen and Sanglier's model, slightly modifying it. We construct a dynamic two-city population model in which there are different types of urban functions in the cities. Population dynamics of both cities are expressed in terms of a system of differential equations of the logistic type, taking account of spatial interaction between them. For this model, both the existence condition and the globally asymptotic stability of the equilibrium state are theoretically explored. Then configurations of equilibrium population distribution that correspond to different combinations of the numbers of types of urban functions in two cities are also examined. Finally, some numerical simulations are done in order to supplement the theoretical considerations."
authors.forename: Y
authors.initials: Y
authors.lastname: Miyata
mesh_terms: D003710:Demography; D005843:Geography; D008962:Models, Theoretical; D011153:Population; D011154:Population Characteristics; D011157:Population Dynamics; D012106:Research; D014505:Urban Population
keywords: Demographic Factors; Geographic Factors; Models, Theoretical; Population; Population Characteristics; Population Dynamics; Research Methodology; Spatial Distribution; Urban Population; Urban Spatial Distribution; World