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economic growth; human activity; economic activity; system of ordinary differential equations
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.
[1] Kadoya, A., Kenmochi, N.: Revival model of human and economic activities in disaster regions. Adv. Math. Sci. Appl. 22 (2012), 349-390. MR 3100003 | Zbl 1287.91111
[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. MR 3205348
[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). MR 2569333 | Zbl 1192.35083
[4] Solow, R. M.: A contribution to the theory of economic growth. The Quarterly Journal of Economics 70 (1956), 65-94. DOI 10.2307/1884513
[5] Zeidler, E.: Nonlinear Functional Analysis and Its Applications I: Fixed-Point Theorems. Translated from the German. Springer, New York (1986). MR 0816732
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