Geodesic
Fursova. Algorithms of calculations in the variational model of ecological community
Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 115-128

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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. 
@article{MM_2003_15_5_a12,
     author = {P. V. Fursova},
     title = {Fursova. {Algorithms} of calculations in the variational model of ecological community},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {115--128},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_5_a12/}
}
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P. V. Fursova. Fursova. Algorithms of calculations in the variational model of ecological community. Matematičeskoe modelirovanie, Tome 15 (2003) no. 5, pp. 115-128. http://geodesic.mathdoc.fr/item/MM_2003_15_5_a12/