  We study the Liouville-type theorem for smooth solutions to the steady 3D
tropical climate model. We prove the Liouville-type theorem if a smooth
solution satisfies a certain growth condition in terms of $L^p$-norm on annuli,
which improves the previous results, Theorem 1.1 (Math. Methods Appl. Sci. 44,
2021) by Ding and Wu, and Theorem 1.1 and Theorem 1.2 (Appl. Math. Lett. 138,
2023) by Yuan and Wang.
