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We investigate both the four-level model and the six-temperature model to describe the dynamical processes of a simple mechanical Q-switched CO2 laser that is realized by a fast chopper. The Q-switched process and the effect of the dynamic parameters on the output intensity of the Q-switched CO2 laser are reported using the two models. Theoretical comparisons between the two models on the effect of dynamical parameters, and the experimental results are presented. Both the models are well consistent with the experimental one for the main output laser pulse.