This article is cited in 3 papers

Fursova. Algorithms of calculations in the variational model of ecological community

P. V. Fursova

M. V. Lomonosov Moscow State University

Abstract: The formulation of the variational task for finding relative population size of species in community at a stationary stage of growth and the formulation of the theorem of stratification are given. Algorithms of finding relative size of populations for communities consisting of 2 and 3 species consuming 2 or 3 resources are received. The borders of areas of stratification are described, in which one, two or three resources are limiting. Results of calculation, using microbiological data are represented: 1) in case of 2 species – 2 resources the formula of dependence of relative size from the ratio of resources is received and demonstrated for real requirements of species; 2) in cases of 3 species – 3 resources, 2 species – 3 resources, 3 species – 2 resources numerical decisions of the task for 27 sets of resources are received.

Received: 23.01.2002

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