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c_t+u\\cdot\\nabla c=\\Delta c-c+m,\\quad x\\in \\Omega, t>0,\\\\ m_t+u\\cdot\\nabla m=\\Delta m-nm,\\quad x\\in \\Omega, t>0,\\\\ u_t+\\kappa(u \\cdot \\nabla)u+\\nabla P=\\Delta u+(n+m)\\nabla \\phi,\\quad x\\in \\Omega, t>0,\\\\ \\nabla\\cdot u=0,\\quad x\\in \\Omega, t>0 \\end{array}\\right.$$ in a bounded domain $\\Omega\\subset \\mathbb{R}^3$ with smooth boundary, where 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