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w)+u\\left(a_0-a_1u-a_2v-a_3\\int_{\\Omega}u-a_4\\int_{\\Omega}v\\right),\\quad x\\in \\Omega \\quad\\cr v_t=d_2\\Delta v-\\chi_2\\nabla (v\\cdot \\nabla w)+v\\left(b_0-b_1u-b_2v-b_3\\int_{\\Omega}u-b_4\\int_{\\Omega}v\\right),\\quad x\\in \\Omega \\quad\\cr 0=d_3\\Delta w+k u+lv-\\lambda w,\\quad x\\in \\Omega \\quad\\cr\n  \\end{cases} \\] under homogeneous Neuman boundary conditions in a bounded domain $\\Omega \\subset 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