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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