We describe the ring of constants of a specific four variable Lotka-Volterra derivation. We investigate the existence of polynomial constants in the other cases of Lotka-Volterra derivations, also in n variables.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-9, author = {Piotr Ossowski and Janusz Zieli\'nski}, title = {Polynomial algebra of constants of the four variable Lotka-Volterra system}, journal = {Colloquium Mathematicae}, volume = {120}, year = {2010}, pages = {299-309}, zbl = {1207.13016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-9} }
Piotr Ossowski; Janusz Zieliński. Polynomial algebra of constants of the four variable Lotka-Volterra system. Colloquium Mathematicae, Tome 120 (2010) pp. 299-309. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-9/