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

Author

Listed:
  • 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)

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.

Suggested Citation

  • P K Sikdar & P K Karmeshu, 1982. "On Population Growth of Cities in a Region: A Stochastic Nonlinear Model," Environment and Planning A, , vol. 14(5), pages 585-590, May.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:5:p:585-590
    DOI: 10.1068/a140585
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    Cited by:

    1. Nijkamp, P. & Reggiani, A., 1986. "Analysis of dynamic spatial interaction models by means of optimal control," Serie Research Memoranda 0051, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. P Nijkamp & A Reggiani, 1988. "Dynamic Spatial Interaction Models: New Directions," Environment and Planning A, , vol. 20(11), pages 1449-1460, November.
    3. Nijkamp, P. & Reggiani, A., 1987. "Spatial interaction and input-output models : a dynamic stochastic multi-objective framework," Serie Research Memoranda 0059, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

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