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A Dynamic Population Model Incorporating A Variety Of Urban Functions

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  • Yuzuru Miyata

Abstract

ABSTRACT This paper aims to investigate the theoretical background of Allen and San‐glier's model, slightly modifying it. We construct a dynamic two‐city population model in which there are different types of urban functions in the cities. Population dynamics of both cities are expressed in terms of a system of differential equations of the logistic type, taking account of spatial interaction between them. For this model, both the existence condition and the globally asymptotic stability of the equilibrium state arc theoretically explored. Then configurations of equilibrium population distribution that correspond to different combinations of the numbers of types of urban functions in two cities are also examined. Finally, some numerical simulations are done in order to supplement the theoretical considerations.

Suggested Citation

  • Yuzuru Miyata, 1997. "A Dynamic Population Model Incorporating A Variety Of Urban Functions," Papers in Regional Science, Wiley Blackwell, vol. 76(2), pages 229-256, April.
    • Handle: RePEc:bla:presci:v:76:y:1997:i:2:p:229-256
    DOI: 10.1111/j.1435-5597.1997.tb00690.x
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