Global strong solution of 3D tropical climate model with damping

We establish the global well-posedness of a strong solution to the 3D tropical climate model with damping. We prove that there exists the global and unique solution for α, β, γ satisfying one of the following three conditions: (1) α, β ⩾ 4; (2) 7/2 ⩽ α < 4, β ⩾ (5α + 7)/(2α), γ ⩾ 7/(2α − 5); (3) 3 < α ⩽ 7/2, β, γ ⩾ 7/(2α − 5).