Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics

The current paper is concerned with the stabilization in the following parabolic-parabolic-elliptic chemotaxis system with singular sensitivity and Lotka-Volterra competitive kinetics, equation cases uₜ= u-₁ (uw w) +u (a₁-b₁u-c₁v), u₀, v₀) -u^*\|_ +\|v (t, ;u₀, v₀) -v^*\|_+\|w (t, ;u₀, v₀) -w^*\|_) =0.