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The multicomponent dark matter model with self-scattering andinter-conversions of species into one another is an alternative dark matterparadigm that is capable of resolving the long-standing problems of$\Lambda$CDM cosmology at small scales. In this paper, we have studied indetail the properties of dark matter halos with $M \sim 4-5 \times10^{11}M_{\odot}$ obtained in $N$-body cosmological simulations with the simplesttwo-component (2cDM) model. A large set of velocity-dependent cross-sectionprescriptions for elastic scattering and mass conversions, $\sigma_s(v)\proptov^{a_s}$ and $\sigma_c(v)\propto v^{a_c}$, has been explored and the resultswere compared with observational data. The results demonstrate thatself-interactions with the cross-section per particle mass evaluated at $v=100$km s$^{-1}$ being in the range of $0.01\lesssim \sigma_0/m\lesssim 1$cm$^2$g$^{-1}$ robustly suppress central cusps, thus resolving the core-cuspproblem. The core radii are controlled by the values of $\sigma_0/m$ and the DMcross-section's velocity-dependent power-law indices $(a_s,a_c)$, but arelargely insensitive to the species' mass degeneracy. These values are in fullagreement with those resolving the substructure and too-big-to-fail problems.We have also studied the evolution of halos in the 2cDM model with cosmic time.

Dark matter halos in the multicomponent model. II. Density profiles of galactic halos