title: On population growth of cities in a region:  a stochastic nonlinear model.
abstract: "A stochastic migration model describing the population dynamics in a region is investigated.  The model is described by a pair of coupled differential equations with state-dependent stochasticity.  Explicit expressions for the time evolution of the moments for the population sizes of cities are obtained from the Fokker-Planck equation.  The Stratonovich calculus is employed in the analysis."
authors.forename: P K
authors.initials: PK
authors.lastname: Sikdar
authors.lastname: Karmeshu
mesh_terms: D003710:Demography; D004641:Emigration and Immigration; D005843:Geography; D008962:Models, Theoretical; D011153:Population; D011157:Population Dynamics; D011158:Population Growth; D012106:Research; D014505:Urban Population
keywords: Demographic Factors; Geographic Factors; Mathematical Model; Migration; Models, Theoretical; Population; Population Dynamics; Population Growth--changes; Research Methodology; Spatial Distribution; Urban Spatial Distribution--changes