Gut microbial diversity‐internetwork functional connectivity‐behaviors associations. (a) and (b) The mediation analyses between Simpson index (X) and total score of PSQI (Y), with pDMN‐AN and lFPN‐rFPN connectivity as the mediators (M). (c) The mediation analysis between Simpson index (X) and 3‐back reaction time (Y), with rFPN‐mVN connectivity as the mediator. (d) The mediation analysis between Simpson index (X) and digit span forward (Y), with DAN‐pVN connectivity as the mediator. Path coefficients with p values (*p <.05 and **p <.01, respectively). AN, auditory network; DAN, dorsal attention network; lFPN, left frontoparietal network; mVN, medial visual network; pDMN, posterior default mode network; PSQI, Pittsburgh Sleep Quality Index; pVN, posterior visual network; rFPN, right frontoparietal network