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Population dynamics of Bithynia tentaculata. (English) Zbl 0955.92027

Summary: Dynamics of snail populations are analyzed both qualitatively and quantitatively. Starting from concrete measured data in the form of tables, the modelling logistic-type equations have been determined at first. These are then examined as deterministic and random dynamical systems under various constraints. Finally, the results obtained from such a mathematical analysis are interpreted in biological terms.

MSC:

92D25 Population dynamics (general)
34D05 Asymptotic properties of solutions to ordinary differential equations
37N25 Dynamical systems in biology
45J05 Integro-ordinary differential equations
92-08 Computational methods for problems pertaining to biology
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References:

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[2] Kobza J.: Splines. Mimeographed text of Palacký University, Olomouc, 1993 · Zbl 0803.41011
[3] Kubáček L.: Nonlinear error propagation law. Appl. Math., 41 (1996), 329-345. · Zbl 0870.62017
[4] Poluektov R. A.: Dynamical Theory of Biological Populations. Nauka, Moscow, 1974
[5] Poluektov R. A., Pykh Yu. A., Shvytov J. A.: Dynamical Models of Ecological Systems. Gidrometeoizdat, Leningrad, 1980
[6] Velecká-Procházková I.: Population dynamics and biology of Bithynia tentaculata. Mgr. Thesis, Masaryk University, Brno, 1994
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