A mathematical model for the recovery of human and economic activities in disaster regions

Atsushi Kadoya; Nobuyuki Kenmochi

Mathematica Bohemica (2014)

  • Volume: 139, Issue: 2, page 373-380
  • ISSN: 0862-7959

Abstract

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In this paper a model for the recovery of human and economic activities in a region, which underwent a serious disaster, is proposed. The model treats the case that the disaster region has an industrial collaboration with a non-disaster region in the production system and, especially, depends upon each other in technological development. The economic growth model is based on the classical theory of R. M. Solow (1956), and the full model is described as a nonlinear system of ordinary differential equations.

How to cite

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Kadoya, Atsushi, and Kenmochi, Nobuyuki. "A mathematical model for the recovery of human and economic activities in disaster regions." Mathematica Bohemica 139.2 (2014): 373-380. <http://eudml.org/doc/261936>.

@article{Kadoya2014,
abstract = {In this paper a model for the recovery of human and economic activities in a region, which underwent a serious disaster, is proposed. The model treats the case that the disaster region has an industrial collaboration with a non-disaster region in the production system and, especially, depends upon each other in technological development. The economic growth model is based on the classical theory of R. M. Solow (1956), and the full model is described as a nonlinear system of ordinary differential equations.},
author = {Kadoya, Atsushi, Kenmochi, Nobuyuki},
journal = {Mathematica Bohemica},
keywords = {economic growth; human activity; economic activity; system of ordinary differential equations; economic growth; human activity; economic activity; system of ordinary differential equations},
language = {eng},
number = {2},
pages = {373-380},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A mathematical model for the recovery of human and economic activities in disaster regions},
url = {http://eudml.org/doc/261936},
volume = {139},
year = {2014},
}

TY - JOUR
AU - Kadoya, Atsushi
AU - Kenmochi, Nobuyuki
TI - A mathematical model for the recovery of human and economic activities in disaster regions
JO - Mathematica Bohemica
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 139
IS - 2
SP - 373
EP - 380
AB - In this paper a model for the recovery of human and economic activities in a region, which underwent a serious disaster, is proposed. The model treats the case that the disaster region has an industrial collaboration with a non-disaster region in the production system and, especially, depends upon each other in technological development. The economic growth model is based on the classical theory of R. M. Solow (1956), and the full model is described as a nonlinear system of ordinary differential equations.
LA - eng
KW - economic growth; human activity; economic activity; system of ordinary differential equations; economic growth; human activity; economic activity; system of ordinary differential equations
UR - http://eudml.org/doc/261936
ER -

References

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  1. Kadoya, A., Kenmochi, N., Revival model of human and economic activities in disaster regions, Adv. Math. Sci. Appl. 22 (2012), 349-390. (2012) Zbl1287.91111MR3100003
  2. Kadoya, A., Kenmochi, N., Economic growth model in two regions with mutual dependence, Proceedings of the 5th Polish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences: Modelling, Theory and Simulations, GAKUTO Intern. Ser. Math. Sci. Appl. T. Aiki et al. 36 Gakkōtosho, Tokyo (2013), 135-151. (2013) MR3205348
  3. Kenmochi, N., Monotonicity and compactness methods for nonlinear variational inequalities, Handbook of Differential Equations: Stationary Partial Differential Equations 4 Elsevier, Amsterdam 203-298 (2007). (2007) Zbl1192.35083MR2569333
  4. Solow, R. M., 10.2307/1884513, The Quarterly Journal of Economics 70 (1956), 65-94. (1956) DOI10.2307/1884513
  5. Zeidler, E., Nonlinear Functional Analysis and Its Applications I: Fixed-Point Theorems. Translated from the German, Springer, New York (1986). (1986) MR0816732

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