Polynomial algebra of constants
 of the four variable Lotka–Volterra system

Piotr Ossowski; Janusz Zieliński

doi:10.4064/cm120-2-9

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Polynomial algebra of constants of the four variable Lotka–Volterra system

Piotr Ossowski ¹ ; Janusz Zieliński ²

¹ Faculty of Mathematics and Computer Science N. Copernicus University Chopina 12/18 87-100 Toruń, Poland
² Faculty of Mathematics and Computer Science N. Copernicus University Chopina 12/18 87-100 Toruń , Poland

Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 299-309.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

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.

DOI : 10.4064/cm120-2-9

Mots-clés : describe ring constants specific variable lotka volterra derivation investigate existence polynomial constants other cases lotka volterra derivations variables

Affiliations des auteurs :

Piotr Ossowski ¹ ; Janusz Zieliński ²

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Piotr Ossowski; Janusz Zieliński. Polynomial algebra of constants
 of the four variable Lotka–Volterra system. Colloquium Mathematicum, Tome 120 (2010) no. 2, pp. 299-309. doi : 10.4064/cm120-2-9. http://geodesic.mathdoc.fr/articles/10.4064/cm120-2-9/

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