Geodesic
Models of mass transfer and population with saturation mechanism
Matematičeskoe modelirovanie, Tome 19 (2007) no. 4, pp. 27-36.

Voir la notice de l'article provenant de la source Math-Net.Ru

The elementary nonlinear models of evolutionary processes of reproduction and growth with the saturation mechanism, used for the description of the empirical data are considered. The example of estimation of prognostic properties of models is given according to the data on growth of population of the Earth. Attention is paid to a problem of construction and choice of models with the best prognostic properties. 
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     title = {Models of mass transfer and population with saturation mechanism},
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     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_4_a2/}
}
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G. Ya. Skryabov. Models of mass transfer and population with saturation mechanism. Matematičeskoe modelirovanie, Tome 19 (2007) no. 4, pp. 27-36. http://geodesic.mathdoc.fr/item/MM_2007_19_4_a2/

[1] Samarskii A. A., Mikhailov A. P., Matematicheskoe modelirovanie: Idei. Metody. Primery, Nauka, M., 1997

[2] Lykov A. V., Teplomassoobmen, Energiya, M., 1971

[3] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972 | MR

[4] Maslov V. P., Danilov V. G., Volosov K. A., Matematicheskoe modelirovanie protsessov teplomassoperenosa. Evolyutsiya dissipativnykh struktur, Nauka, M., 1987 | MR

[5] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 | MR

[6] Skryabov G. Ya., Kireev V. F., Modelirovanie evolyutsionnykh protsessov. Yadernye energeticheskie ustanovki, NIIKh SPbGU, Sankt-Peterburg, 2003

[7] Bolotin V. V., Prognozirovanie resursa mashin i konstruktsii, Mashinostroenie, M., 1984 | MR

[8] Svirezhev Yu. M., Nelineinye volny, dissipativnye struktury i katastrofy v ekologii, Nauka, M., 1987 | MR | Zbl

[9] Lebedev N. N., Spetsialnye funktsii i ikh prilozheniya, Gos. izd. fiz.-mat. lit., M.-L., 1963 | MR | Zbl

[10] M. Abramovits, I. Stigan (red.), Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979 | MR

[11] Naidenov V. I., Kozhevnikova I. A., “Matematicheskie modeli chislennosti naseleniya Zemli”, DAN, 393:5 (2003), 591–596 | MR

[12] Feller V., Vvedenie v teoriyu veroyatnostei i ee prilozheniya, T. 2, Mir, M., 1984

[13] Vladimirov V. A., Vorobev Yu. L., Malinetskii G. G. i dr., Upravlenie riskom. Risk. Ustoichivoe razvitie. Sinergetika, Nauka, M., 2000

[14] Malinetskii G. G., Kurdyumov S. P., Sinergetika i prognoz. Nastoyaschee i buduschee. Novoe v sinergetike: Vzglyad v trete tysyacheletie, Nauka, M., 2002 | Zbl

[15] Kashyap R. L., Rao A. R., Postroenie dinamicheskikh stokhasticheskikh modelei po eksperimentalnym dannym, Nauka, M., 1983

[16] Kapitsa S. P., “Matematicheskaya model rosta narodonaseleniya Mira”, Matem. modelirovanie, 4:6 (1992), 65–79

[17] Kapitsa S. P., “Fenomenologicheskaya teoriya rosta naseleniya Zemli”, UFN, 166:1 (1996), 63–80 | DOI

[18] Podlazov A. V., Teoreticheskaya demografiya. Modeli rosta narodonaseleniya i globalnogo demograficheskogo perekhoda. Novoe v sinergetike: Vzglyad v trete tysyacheletie, Nauka, M., 2002

[19] Dreiper N., Smit G., Prikladnoi regressionnyi analiz, Kn. 2, Finansy i statistika, M., 1987

[20] Ide V., Draiard D. i dr., Statisticheskie metody v eksperimentalnoi fizike, Atomizdat, M., 1976

[21] Ivakhnenko A. G., Yurachkovskii Yu. P., Modelirovanie slozhnykh sistem po eksperimentalnym dannym, Radio i svyaz, M., 1987