Lotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.
@article{bwmeta1.element.doi-10_2478_s11533-013-0300-2,
author = {Janusz Zieli\'nski},
title = {Rings of constants of four-variable Lotka-Volterra systems},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1923-1931},
zbl = {1296.13022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0300-2}
}
Janusz Zieliński. Rings of constants of four-variable Lotka-Volterra systems. Open Mathematics, Tome 11 (2013) pp. 1923-1931. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0300-2/
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