FINITE SINGULARITIES OF TOTAL MULTIPLICITY FOUR FOR A PARTICULAR SYSTEM WITH TWO PARAMETERS

A particular Lotka-Volterra system with two parameters describingthe dynamics of two competing species is analyzed from the algebraicviewpoint. This study involves the invariants and the comitants of the system determinated by the application of the affine transformations group. First, the conditions for the existence of four (different or equal) finite singularities for the general system are proofed, then is studied the particular case.