Liouvillian first integrals for the planar Lotka-Volterra system

Laurent Cairó, Hector Giacomini, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

37 Citations (Scopus)


We complete the classication of all Lotka-Volterra systems ẋ = x(ax+by+c), ẏ = y(Ax+By+C), having a Liouvillian first integral. In our classification we take into account the first integrals coming from the existence of exponential factors. © 2003 Springer-Verlag.
Original languageEnglish
Pages (from-to)389-418
JournalRendiconti del Circolo Matematico di Palermo
Publication statusPublished - 1 Oct 2003


Dive into the research topics of 'Liouvillian first integrals for the planar Lotka-Volterra system'. Together they form a unique fingerprint.

Cite this