Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences |
A. I. Abakumov, E. E. Giricheva |
2003, issue 2, P. 316–325 |
Abstract |
The possible variants of incomes influence on the equilibriums age structure of a population are considered. In the model the incomes distribution inside a families is supposed to be optimal in sense the utility. |
Keywords: mathematical model, optimal control, demography, economics, population, incomes, age structure |
Download the article (PDF-file) |
References |
[1] S. V. Soboleva, Demograficheskie processy v regional'nom social'no-e'konomicheskom razvitii, Nauka, Novosibirsk, 1988. [2] L. K. Raut, T. N. Srinivasan, “Dynamics of endogenous growth”, Economic Theory, 4 (1994), 777–790. [3] L. S. Pontryagin, V. G. Boltyanskij, R. V. Gamkrelidze, E. F. Mishhenko, Matematicheskaya teoriya optimal'nyx processov, Nauka, M., 1969. [4] V. V. Mazalov, A. N. Rettieva, “Ob odnoj zadache upravleniya bioresursami”, Obozrenie prikladnoj i promyshlennoj matematiki, 9:2 (2002), 293–306. [5] Demograficheskij ezhegodnik Rossii, Stat. sb., Goskomstat Rossii, M., 1996, 114 s. [6] A. A. Samarskij, A. V. Gulin, Chislennye metody, Nauka, M., 1989. [7] A. I. Abakumov, E. E. Giricheva, “Modelirovanie demograficheskix izmenenij pri e'konomicheskix ogranicheniyax”, E'konomika i matematicheskie metody, 38:4 (2002), 110–114. |