  The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra
(LV) equations is revisited from a novel point of view by showing that the
quadratic Poisson structure underlying its integrability structure is just a
real three-dimensional Poisson-Lie group. As a consequence, the Poisson
coalgebra map that is given by the group multiplication provides the keystone
for the explicit construction of a new family of 3N-dimensional integrable
systems that, under certain constraints, contain N sets of deformed versions of
the 3D LV equations. Moreover, by considering the most generic Poisson-Lie
structure on this group, a new two-parametric integrable perturbation of the 3D
LV system through polynomial and rational perturbation terms is explicitly
found.
