Raluca Mihaela Georgescu, Elena Naidenova, “<nobr>$GL(2,\mathbb R)$</nobr>-orbits in a competing species model”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, Number 1,Pages <nobr>101

$GL(2,\mathbb R)$-orbits in a competing species model

Raluca Mihaela Georgescu^a, Elena Naidenova^b

^a Department of Mathematics, University of Pitesti, Romania
^b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: A particular model with two parameters describing the dynamics of two competing species is analyzed from algebraic viewpoint involving the $GL(2,\mathbb R)$-orbits.

Keywords and phrases: Differential system, parametric portrait, Lie algebra of the operators, $GL(2,\mathbb R)$-orbit, first integral.

MSC: 34C14

Received: 22.01.2007

Language: English