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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2000 Volume 12, Number 12, Pages 55–65 (Mi mm1043)

Mathematical models and computer experiment

The solitary waves in the populations of multicellular animal organisms

G. V. Zhizhin, N. N. Bolshakova

North-Western Correspondence Technical Institute

Abstract: The new model of solitary population wave of multicellular animal organisms has been made. Qualitative analysis of the system of wave equations shows it's ability to have a soliton-like solution in a case of usual diffusion equation construction. Analytical solution for speed and structure of solitary population wave have been obtained. Quantitative analysis of area of wave existence has been carried out. It has been shown that minimal speed states cannot be achieved, in view of coming the peaking mode of soliton.

Received: 07.09.1999



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