Аннотация:Modeling of the global heliosphere is essentially important for interpretation of the
relevant space experiments both inside the heliosphere and inside the SW/LISM
interstellar medium. Modern models of the SW/LISM interactions are 3D kineticmagnetohydrodynamic multi-component models that take into account effects of both
the solar wind and local interstellar plasma (including solar wind alpha-particles and
interstellar helium), both the heliospheric and interstellar magnetic field, and interstellar
hydrogen atoms. In addition, the models includes latitudinal dependence of the solar
wind and time-variations. In this presentation I will make an attempt to review current
status in the modeling of the SW/LISM interactions and discuss relevance of existing
models for interpretation of available observational data.