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\\disp{v_t-\\Delta v=-uv },\\quad x\\in \\Omega, t>0, %\\disp{\\tau w_t+\\delta w=u },\\quad %x\\in \\Omega, t>0, \\disp{(\\nabla D(u)-\\chi u\\cdot \\nabla v)\\cdot \\nu=\\frac{\\partial v}{\\partial\\nu}=0},\\quad x\\in \\partial\\Omega, t>0, \\disp{u(x,0)=u_0(x)},\\quad v(x,0)=v_0(x),~~ x\\in \\Omega \\end{array}\\right. $$ on a bounded domain $\\Omega\\subset\\mathbb{R}^N(N\\geq1)$, with smooth boundary 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