Revival model of human and economic activities in disaster regions. (English) Zbl 1287.91111

Kadoya, Atsushi; Kenmochi, Nobuyuki

Adv. Math. Sci. Appl. 22, No. 2, 349-390 (2012).

Summary: Assuming that a great deal of damage was inflicted by serious disasters (earthquake, tsunami, typhoon, i.e.) on an area, we discuss how to recover human and economic activities in the disaster area from the mathematical point of view. We shall attempt to make a mathematical full model in the framework of ordinary differential systems, which describes a possible revival process of the disaster area under the support of public and local relief funds. Our economic trend model is based on the classical theory due to R. M. Solow [“A contribution to the theory of economic growth”, Q. J. Econ. 70, No. 1, 65–94 (1956; doi:10.2307/1884513)] (cf. [N. G. Mankiw et al., ibid. 107, No. 2, 407–437 (1992; Zbl 0825.90191); D. Romer, Advanced macroeconomics. New York: McGraw-Hill (1996)]). One of our ideas is to take account of economic mutual dependence between disaster and non-disaster regions as well as recovery of human activity in the economic growth process.

MSC:

91B62	Economic growth models
34C60	Qualitative investigation and simulation of ordinary differential equation models

Citations:

Zbl 0825.90191