Time periodic solution to a two-species chemotaxis-Stokes system with porous medium diffusion

In this paper, we considered a two-species chemotaxis-Stokes system with porous medium diffusion $ \Delta n_1^m $ in two-dimensional smooth bounded domains. We proved the existence of a time periodic solution for any $ m\geq\frac{6}{5} $ and any large periodic sources $ g_1(x, t) $ and $ g_2(x, t) $.