  We establish the exponential ergodic property in a weighted total variation
distance of continuous-state branching processes with immigration in random
environments with competition and catastrophes, under a Lyapunov-type condition
and other mild assumptions. The proof is based on a Markov coupling process
along with some delicate estimates for the associated coupling generator. In
particular, the main result indicates whether and how the competition
mechanism, the environment and the catastrophe could balance the branching
mechanism respectively to guarantee the exponential ergodicity of the process.
