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Volterra's principle and its generalizations
 Havelková, Alexandra ; Pražák, Dalibor (advisor) ; Bárta, Tomáš (referee)
The thesis concerns the Volterra principle and its validity in a more general sense. Volterra principle states that an improvement of the environment benefits predators rela- tively more than prey. To begin with, there is attention paid to the Lotka-Volterra model and in connection to it, the validity of the Volterra principle is discussed. Next, we de- fine the term of Volterra principle formally and furthermore we formulate and prove a sufficient condition of its validity. Then the focus is shifted to more complicated models, specifically Holling-Tanner and Gause models. The Volterra principle is here discussed in the context of individual equilibria in the original sense and in a generalized one. With most of the equilibria, the results show the principle holds. With those equilibria that negate the Volterra principle, the stability of said equilibria is discussed along with validity of the Volterra principle in generalized sense. 1
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See also: similar author names
3 Havelková, Adéla
4 Havelková, Alžběta
2 Havelková, Andrea
2 Havelková, Anna
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