This　article　formulates　and　analyzes　agreements　of　the　nonlinear　opinion　dynamics　in　social　networks　according　to　switching　interactions,　where　the　agents＇　susceptibilities　depend　on　current　states.　These　switching　interactions　are　formulated　by　switching　directed　graphs　with　some　mild　joint　connectivity,　and　depicted　by　nonlinear　switching　model.　An　extended　LaSalle　invariance　principle　is　established　for　analyzing　the　agreements　of　this　switching　model　as　well　as　three　specialized　scenarios,　where　the　limiting　equations　formed　by　the　weak*　convergence　are　used　to　study　the　steady-state　behavior　so　that　the　stability　analysis　is　substantially　simplified　in　the　sense　that　the　＂max　-　min＂　Lyapunov　function　may　be　assumed　to　be　constant　along　any　bounded　forward　complete　solutions　of　limiting　equations.　Examples　and　simulations　are　used　to　verify　the　obtained　results.