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This paper reviews modeling of the influence of earthquake (EQ) preparation processes on the ionosphere through the electric field and electric current occurring in the global atmosphere-ionosphere electric circuit. Our consideration is based on the satellite-and ground-based experimental data of electric fields, plasma and electromagnetic perturbations obtained for several days before an EQ. We have ruled out the models which are not consistent with the experimental data on the electric fields in the ionosphere and also on the ground surface. There has then been proposed a new model of the generation of electric field on the basis of injection of charged aerosols into the atmosphere, and we discuss the mechanism of lithosphere-atmosphere-ionosphere coupling. It is then shown that such changes in the electric field within the ionosphere induce a variety of plasma and electromagnetic phenomena associated with an impending EQ.