“…Moreover, recent observation data from WMAP require that the universe should achieve a slightly anisotropic special geometry in spite of the inflation [79,80,81,82]. Therefore, in an attempt to understand the observed small amount of anisotropy in the universe better, the Bianchi type models have been studied by several authors [83,84,85,86,87,88,89]. Our aims are to investigate the evolution of the Bianchi type I (BI) universe with the HDE and interacting dark matter (DM), and the GSLT for the accelerated expanding BI universe driven by DE and DM.…”