1982 volume 14(5) pages 585 – 590
doi:10.1068/a140585

Cite as:
Sikdar P K, Karmeshu , 1982, "On population growth of cities in a region: a stochastic nonlinear model" Environment and Planning A 14(5) 585 – 590

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On population growth of cities in a region: a stochastic nonlinear model

P K Sikdar,  Karmeshu

Received 28 August 1980, in revised form 26 May 1981

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.

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