Abstract
We study the time evolution of the classical and quantum correlations for interacting and noninteracting two-qubit systems under the influence of noncorrelated and correlated environmental models. We discuss the dependence of different physical quantifiers on the environment parameters. Interestingly, we examine the effects of the initial state and different system parameters on the evolution of correlations of the system of qubits in contact with different kinds of environments. We show how the interaction among qubits can protect and preserve the correlation loss during the time evolution for various environmental models. Moreover, we examine the competition between the dissipative and coherent effects in different kinds of correlations dynamics of the system of qubits. Our study gives a deeper understanding on the correlations for a wide variety of the environment models, which is rather significant in different tasks of quantum optics and information.