In this project, we study a model of two non-identical (asymmetric) two-level atoms (qubits) that are coupled to a dissipative thermal environment in the presence of a radiation field represented by a coherent state. The atoms are coupled to each other through dipole-dipole and Ising interactions. We examine the system dynamics starting from different initial states with different entanglement contents. We investigate different properties of the system such as atomic population inversion, entanglement, and purity. We show how these quantum properties can be efficiently controlled by tuning the strength of the coupling, the intensity of the field, and the environment coupling parameters. Particularly, we demonstrate that under the effect of the dissipative environment, the system oscillatory dynamics turn asymptotically into a steady state that is characterized by certain purity and a constant amount of entanglement that varies significantly depending on the system parameter values.