Abstract:In order to make the three-dimensional steady-state tropical climate model have only trivial zero solutions in isotropic Lorentz space and anisotropic iterative Lorentz space, sufficient conditions for the Liouville theorem are established by using energy estimation, Sobolev embedding, etc. The three theorems are obtained in this paper to improve and generalize the known results of the Liouville theorems for three-dimensional steady-state tropical climate model.