Geodesic
A mathematical model of economy and environment interaction
Matematičeskoe modelirovanie, Tome 15 (2003) no. 4, pp. 107-121 
S. Demberel; N. N. Olenev; I. G. Pospelov. A mathematical model of economy and environment interaction. Matematičeskoe modelirovanie, Tome 15 (2003) no. 4, pp. 107-121. http://geodesic.mathdoc.fr/item/MM_2003_15_4_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper presents new results of mathematical modeling of economy and environment interaction that continues paper [1]. A model of mutual interaction of livestock farming – one in two main agricultural branches – and natural pastures that are the essential part of livestock farming forage reserve is proposed. Macrodescription of livestock farming such as: total and vintage number of livestock, number of young animals, livestock outputs and production inputs, demand for credit, and profit – follows from the initial microdescription of rational managing of vintage livestock. This description forms a block “Economy” of the model of mutual interaction of livestock farming and natural pastures – natural vegetable coenoses.

[1] Olenev N. N., Petrov A. A., Pospelov I. G., “Regulirovanie ekologicheskikh posledstvii ekonomicheskogo rosta”, Matem. modelirovanie, 10:8 (1998), 17–32 | MR

[2] Olenev N. N., Model gosudarstvennogo regulirovaniya ekologicheskikh posledstvii ekonomicheskogo rosta, VTs AN SSSR, M., 1991

[3] Krasnoschekov P. S., Petrov A. A., Printsipy postroeniya modelei, 2-e izd., Izd-vo FAZIS, VTs RAN, M., 2000 | Zbl

[4] Olenev N. N., Pospelov I. G., “Model investitsionnoi politiki firm v ekonomicheskoi sisteme rynochnogo tipa”, Matematicheskoe modelirovanie: Protsessy v slozhnykh ekonomicheskikh i ekologicheskikh sistemakh, eds. Samarskii A. A., Moiseev N. N., Petrova A. A., Nauka, M., 1986, 163–173

[5] Sidorov Yu. V., Fedoryuk M. V., Shabunin M. I., Lektsii po teorii funktsii kompleksnogo peremennogo, Nauka, M., 1976 | MR | Zbl

[6] J. F. Muth, “Rational Expectations and the Theory of Price Movements”, Econometrica, 29:3 (1961), 315–335 | DOI