The fluid model is usually used to investigate the microwave air breakdown,since particle-in-cell-Monte Carlo(PIC-MCC) is too expensive to simulate the highly collisional plasma.The fluid model needs a lot of plasma parameters,most of which depend on the assumptions of electron energy distribution function (EEDF).Some studies have noticed the importance of EEDF and incorporate the Boltzmann equation (Bolsig+) or Monte Carlo method into the fluid model.However,most of them assumed the EEDF is temporal invariance.