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A Spatio-Temporal Autowave Model of Shanghai Territory Development

Author

Listed:
  • Natalia Levashova

    (Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia)

  • Alla Sidorova

    (Department of Biophysics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia)

  • Anna Semina

    (Department of Biophysics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia)

  • Mingkang Ni

    (Department of Mathematics, East China Normal University, Shanghai, China)

Abstract

A spatio-temporal model of megacity development that treats the megacity as an active medium is presented. From our point of view, it is advisable to consider the process of urban ecosystem development from the standpoint of the theory of autowave self-organization in active media. According to this concept, the urban ecosystem is considered as interacting with each other’s natural and anthropogenic subsystems with significant heterogeneity of areas affected by human intervention and urban geobiocoenoses. The model is based on the general principles of active medium dynamics; therefore, it is universal for any object to be considered an active medium. The only difference when using the model to predict the development of urban ecosystems in countries with different socio-economic and political prerequisites is the variety of parameters included in the model, i.e., the activation parameter, the autowave process inhibitors, and the characteristic scales of the activator and inhibitor. The model was tested on the example of Moscow expansion in the period of 1952–1968 and showed good agreement with the map data. By means of the model, a prediction of Shanghai and surrounding territory development until 2030 was made.

Suggested Citation

  • Natalia Levashova & Alla Sidorova & Anna Semina & Mingkang Ni, 2019. "A Spatio-Temporal Autowave Model of Shanghai Territory Development," Sustainability, MDPI, vol. 11(13), pages 1-13, July.
    • Handle: RePEc:gam:jsusta:v:11:y:2019:i:13:p:3658-:d:245277
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    References listed on IDEAS

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    Cited by:

    1. Dmitry Lukyanenko & Tatyana Yeleskina & Igor Prigorniy & Temur Isaev & Andrey Borzunov & Maxim Shishlenin, 2021. "Inverse Problem of Recovering the Initial Condition for a Nonlinear Equation of the Reaction–Diffusion–Advection Type by Data Given on the Position of a Reaction Front with a Time Delay," Mathematics, MDPI, vol. 9(4), pages 1-12, February.
    2. Raul Argun & Alexandr Gorbachev & Natalia Levashova & Dmitry Lukyanenko, 2021. "Inverse Problem for an Equation of the Reaction-Diffusion-Advection Type with Data on the Position of a Reaction Front: Features of the Solution in the Case of a Nonlinear Integral Equation in a Reduc," Mathematics, MDPI, vol. 9(18), pages 1-14, September.
    3. Raul Argun & Alexandr Gorbachev & Dmitry Lukyanenko & Maxim Shishlenin, 2021. "On Some Features of the Numerical Solving of Coefficient Inverse Problems for an Equation of the Reaction-Diffusion-Advection-Type with Data on the Position of a Reaction Front," Mathematics, MDPI, vol. 9(22), pages 1-18, November.

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