Far Eastern Mathematical Journal

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Dynamics unstability in the mathematical model of salmon's populations number dynamics


E. V. Last, S. P. Luppov, E. Ya. Frisman

2001, issue 1, Đ. 114ľ125


Abstract
Far East salmons are classical example of non-uniform populations. A discrete mathematical model of such populations number dynamics is suggested and investigated. Most particular cases are described in detail. The general algorithm for determine ôbifurcation pointsö is worked out. The basic model was investigated by numerical methods for some real Pacific salmon's populations. Was found all possible variants of number changes and character of stability each of its. Was determined parameters which with population dynamics becomes chaotic.

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References

[1] S. M. Konovalov, Populyacionnaya biologiya tixookeanskix lososej, Nauka, L., 1980.
[2] A. P. Shapiro, S. P. Luppov, Rekurrentnye uravneniya v teorii populyacionnoj biologii, Nauka, M., 1982.

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