  This paper considers the two-species chemotaxis-Stokes system with
competitive kinetics under homogeneous Neumann boundary conditions in a
three-dimensional bounded domain with smooth boundary. Both chemotaxis-fluid
systems and two-species chemotaxis systems with competitive terms are studied
by many mathematicians. However, there has not been rich results on coupled
two-species-fluid systems. Recently, global existence and asymptotic stability
in this problem with convection term in the fluid equation of the above system
were established in the 2-dimensional case. The purpose of this paper is to
give results for global existence, boundedness and stabilization of solutions
to this system in the 3-dimensional case.
