On Population Growth of Cities in a Region: A Stochastic Nonlinear Model

P K Sikdar and P K Karmeshu
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P K Sikdar: Department of Town Planning, University of Wales Institute of Science and Technology, Cardiff CF1 3NU, Wales
P K Karmeshu: Department of Systems Design, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

Environment and Planning A, 1982, vol. 14, issue 5, 585-590

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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:14:y:1982:i:5:p:585-590

DOI: 10.1068/a140585

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