Parameters adaptation mechanisms in ecological models
Matematičeskoe modelirovanie, Tome 16 (2004) no. 2, pp. 54-68.

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On the base of the theory of biological competition the mechanismes models of population parameters adaptation are proposed. The ecology-evolutionary models of small dimensionality are constructed. In this models the variables dynamics and the parameters adaptation are tracked simultaneously. This approach is used for the construction of algae's evolutionary – stable parameters under the periodical changing temperature.
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V. G. Il'ichev. Parameters adaptation mechanisms in ecological models. Matematičeskoe modelirovanie, Tome 16 (2004) no. 2, pp. 54-68. http://geodesic.mathdoc.fr/item/MM_2004_16_2_a4/

[1] Timofeev-Resovskii N. N., Vorontsov N. N., Yablokov A. V., Kratkii ocherk teorii evolyutsii, 407 s., Nauka, M., 1969

[2] Vance R. R., Coddington E. A., “A nonautonomus model of population growth”, J. Math. Biology, 27:5 (1989), 491–506 | DOI | MR | Zbl

[3] Ilichev V. T., Ilicheva O. A., “Analiz modelei konkurentsii v postoyannoi i periodicheskoi srede”, Matematicheskoe modelirovanie, 14:3 (2002), 71–83 | MR

[4] Ilichev V. T., “Fragment matematicheskoi teorii konkurentsii biologicheskikh vidov v peremennoi srede”, Differentsialnye uravneniya, 27:3 (1991), 437–447 | MR

[5] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985, 224 pp. | MR

[6] Butenin L. V., Neimark Yu. I., Fufaev N. A., Vvedenie v teoriyu nelineinykh kolebanii, Nauka, M., 1976, 384 pp. | MR

[7] Ilichev V. T., “Adaptatsiya parametrov v modelyakh ekologicheskikh sistem”, Avtomatika i telemekhanika, 1990, no. 6, 102–111 | MR

[8] Contois D. E., “Kinetics of bacterial growth relationship between population density and specific growth rate of continuous culture”, J. Gen. Microbiol., 1959, no. 1–2, 40

[9] Pianka E., Evolyutsionnaya ekologiya, Mir, M., 1981, 399 pp.