In this paper, we examine a class of special cases of a two-qubit system under time evolution, in the presence of local squeezed reservoirs, we report some results related to the occurrence of so-called entanglement sudden death (ESD) of two cases of the class, which are initially entangled. In addition, we calculate the information entropies, the purity and the single-atom entropy squeezing of the bipartite system. Finally, we discuss the effects of the local squeezed vacuum fields on the entanglement and other applications of the bipartite system.