  This paper deals with the solution of following chemotaxis system with
competitive kinetics and nonlocal terms \begin{eqnarray*} \left\{
\begin{array}{llll} u_t=d_1\Delta u-\chi_1\nabla\cdot(u\nabla
w)+u\left(a_0-a_1u-a_{2}v-a_3\int_\Omega u-a_4\int_\Omega v\right), &x\in
\Omega, t>0,\\ v_t=d_2\Delta v-\chi_2\nabla\cdot(v\nabla
w)+v\left(b_0-b_1u-b_{2}v-b_3\int_\Omega u-b_4\int_\Omega v\right), &x\in
\Omega, t>0,\\ w_t=d_3\Delta w-\lambda w+k u+l v, &x\in\Omega, t>0, \end{array}
\right. \end{eqnarray*} in a smoothly bounded domain $\Omega\subset
\mathbb{R}^N, N\geq1$, where $a_0, a_1, a_2, b_0, b_1, b_2>0$ and $a_3, a_4,
b_3, b_4\in\mathbb{R}$. The purpose of this paper is to investigate the impact
on nonlocal terms of the system, and to find clear conditions on parameters
such that the system possesses a unique global bounded solution. Our conclusion
quantitatively suggests that the nonlocal competitions can contribute to global
and uniformly bounded solutions, while the global cooperations are adverse to
boundedness of system. That is:
  o If $a_3, a_4, b_3, b_4>0$, i.e., there are nonlocal intraspecific and
interspecific competitions, when $N\leq2$, then for any positive parameters the
solution of system is globally bounded; when $N\geq3$, suitable large $a_1,
b_2$ (local intraspecific competitions) ensure there is no blowup.
  o If $a_3, a_4, b_3, b_4<0$, i.e., there are globally intraspecific and
interspecific cooperations, then for any $N\geq1$, a clear and largeness
condition on $a_1, b_2$ is obtained which makes the system admits a boundedness
solution.
  Furthermore, we consider the globally asymptotically stability of spatially
homogeneous equilibrium with weak and strongly asymmetric competition cases,
respectively.
