%0 Journal Article %T First Integrals of the May¨CLeonard Asymmetric System %J Mathematics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/math7030292 %X For the May¨CLeonard asymmetric system, which is a quadratic system of the Lotka¨CVolterra type depending on six parameters, we first look for subfamilies admitting invariant algebraic surfaces of degree two. Then for some such subfamilies we construct first integrals of the Darboux type, identifying the systems with one first integral or with two independent first integrals. View Full-Tex %U https://www.mdpi.com/2227-7390/7/3/292