MATHEMATICA BOHEMICA, Vol. 139, No. 2, pp. 373-380, 2014

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

Atsushi Kadoya, Nobuyuki Kenmochi

Atsushi Kadoya, Hiroshima Shudo University, 1-1-1 Ohtsukahigashi, Asaminami-ku, Hiroshima 731-3195, Japan, e-mail: kadoya@shudo-u.ac.jp; Nobuyuki Kenmochi, Bukkyo University, 96 Kitahananobo-cho, Murasakino, Kita-ku, Kyoto 603-8301, Japan, e-mail: kenmochi@bukkyo-u.ac.jp

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.

Keywords: economic growth; human activity; economic activity; system of ordinary differential equations

Classification (MSC 2010): 91B62, 49J15, 35K40


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