On Population Growth of Cities in a Region: A Stochastic Nonlinear Model
- 1 May 1982
- journal article
- research article
- Published by SAGE Publications in Environment and Planning A: Economy and Space
- Vol. 14 (5) , 585-590
- https://doi.org/10.1068/a140585
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.Keywords
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