  In this paper, we study the rates of convergence of supposedly given global
bounded classical solutions to a two-species chemotaxis-Navier-Stokes system
with Lotka-Volterra competitive kinetics. Except in one case where the rate of
convergence for the fluid component is expressed in terms of the Poincare
constant and the model parameters, all other rates of convergence are shown to
be expressible only in terms of the model parameters and the underlying space
dimension.
