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By comparing the dynamical and lensing masses of early-type lens galaxies,one can constrain both the cosmological parameters and the density profiles ofgalaxies. We explore the constraining power on cosmological parameters and theeffect of the lens mass model in this method with 161 galaxy-scale stronglensing systems, which is currently the largest sample with both highresolution imaging and stellar dynamical data. We assume a power-law mass modelfor the lenses, and consider three different parameterizations for $\gamma$(i.e., the slope of the total mass density profile) to include the effect ofthe dependence of $\gamma$ on redshift and surface mass density. When treating$\delta$ (i.e., the slope of the luminosity density profile) as a universalparameter for all lens galaxies, we find the limits on the cosmologicalparameter $\Omega_m$ are quite weak and biased, and also heavily dependent onthe lens mass model in the scenarios of parameterizing $\gamma$ with threedifferent forms. When treating $\delta$ as an observable for each lens, theunbiased estimate of $\Omega_m$ can be obtained only in the scenario ofincluding the dependence of $\gamma$ on both the redshift and the surface massdensity, that is $\Omega_m = 0.381^{+0.185}_{-0.154}$ at 68\% confidence levelin the framework of a flat $\Lambda$CDM model. We conclude that the significantdependencies of $\gamma$ on both the redshift and the surface mass density, aswell as the intrinsic scatter of $\delta$ among the lenses, need to be properlytaken into account in this method.

Assessing the effect of lens mass model in cosmological application with updated galaxy-scale strong gravitational lensing sample