A new approach toward stabilization in a two-species chemotaxis model with logistic source

When a1≥1 and a2∈(0,1), if μ2 is suitable large, for all sufficiently regular nonnegative initial data u0 and v0 with u0≢0 and v0≢0, the globally bounded solution of above system will stabilize toward (0,1,1) as t→∞ in algebraic.