  This article deals with an initial-boundary value problem for the coupled
chemotaxis-haptotaxis system with nonlinear diffusion
$$\left\{\begin{array}{ll} u_t=\nabla\cdot( D(u)\nabla
u)-\chi\nabla\cdot(u\nabla v)- \xi\nabla\cdot(u\nabla w)+\mu u(1- u-w), x\in
\Omega, t>0,\\ \tau v_t=\Delta v- v +u,\quad x\in \Omega, t>0,\\ w_t=- vw,\quad
x\in \Omega, t>0, \end{array}\right.$$ under homogeneous Neumann boundary
conditions in a smooth bounded domain $\Omega\subset\mathbb{R}^N(N\geq1)$,
where $\tau\in\{0,1\}$ and $\chi$, $\xi$ and $\mu$ are given nonnegative
parameters. As far as we know, this situation provides the first {\bf rigorous}
result which (precisely) gives the relationship between $m,\xi,\chi$ and $\mu$
that yields to the boundedness of the solutions. Moreover, these results
thereby significantly extending results of previous results of several authors
(see Remarks 1.1 and 1.2) and some optimal results are obtained.
