If the model works, then you found a steady state. As you can hardly be sure that it is the only steady state, you need to check whether the values make sense. Apart from that, you are good to go.

Many thanks Prof. Johannes Pfeifer for your reply and for information.

I am trying to replicate Lin 2018 as attached. I have some variables has negative values in the steady state, could you please give me your advice on that?

Also, I solved only some variables in the steady state, but I need to solve the rest to train myself on that.
I only can solve steady state by hand. I wonder if there is a way in dynare, Matlab , or other package can help me getting the steady state equations.

Why would there be one? Dynare itself can compute steady states numerically as it does in your case. In the end, you are always solving a nonlinear equation system.