Conference devoted to the 90th anniversary of Alexei A. Lyapunov

Akademgorodok, Novosibirsk, Russia, October 8-11, 2001,
(state registration number 0320300064)

Abstracts

Mathematical modelling

Fluctuations of the genetic structure and the number of Mendel limited populations in mathematical evolution models

Frisman E.Y., Pavlova E.A., Zhdanova O.L.

Institute of Automation and Control Processes,
Far East Branch,
Russian Academy of Sciences (Vladivostok)

We investigate the fitness differences model with Mendel limited population in cases of linear and exponential rules of selection. It was made the analytical and numerical investigation of the model. The possibility of population size fluctuations with stable genetic structure was showed. Also were found cooperative fluctuations of genetic structure and populations size. This result contradicts to well-known hypothesis of "genetic control". We've found stable chaotic attractors with non-integer dimensions.

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Note. Abstracts are published in author's edition

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©2001, Siberian Branch of Russian Academy of Science, Novosibirsk
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