On the Darboux integrability of a cubic CRN model in R-5

We study the Darboux integrability of a differential system in R5R5 with parameters coming from a chemical reaction model. In particular, we find all its Darboux polynomials and exponential factors and we prove that it is not Darboux integrable.A. Ferragut is partially supported by the Spanish Government grant MTM2013-40998-P. C. Valls is partially supported by FCT/Portugal through the project UID/MAT/04459/2013