Abstract <p>A mathematical model of the Universe evolution is constructed and investigated, based on an asymmetric doublet of classical and phantom scalar Higgs fields and a perfect fluid, both scalarly charged and neutral. The model is an extension of the scalarly charged perfect fluid model with a classical scalar Higgs singlet. The general properties of this model are studied, and its relation to the scalar neutral fluid model and the scalar vacuum model is established. A qualitative analysis of the cosmological model showed that the singular points of all three models, as well as their character, coincide. Examples of numerical integration of these models are given, confirming their theoretically established properties. It is shown that near unstable points of the model, generation of a phantom scalar field is possible.</p>