A mathematical model for the recovery of human and economic activities in disaster regions. (English) Zbl 1340.91080

Kadoya, Atsushi; Kenmochi, Nobuyuki

Math. Bohem. 139, No. 2, 373-380 (2014).

Summary: 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 [“A contribution to the theory of economic growth”, Q. J. Econ. 70, No. 1, 65–94 (1956; doi:10.2307/1884513)], and the full model is described as a nonlinear system of ordinary differential equations.

MSC:

91B62	Economic growth models
49J15	Existence theories for optimal control problems involving ordinary differential equations
35K40	Second-order parabolic systems

Keywords:

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