The polymer-based hydrogel systems (PHGS) have a wide range of applications in fields like medicine, agriculture, robotic, and others, which has been made these arrangements a promising study area.The poroviscoelasticity behavior present in the PHGSs is associated with the polymeric chain movements and molecular diffusivity of solvents and solutes through the polymeric network due to the actuation of mechanical forces and the chemical potential differences between the structure and the surrounding.In this review paper, we seek to present a bird's eye view of the approaches and concepts, concerted from the thermodynamics and continuum mechanics of solids, that search the description of the PHGS response to the mechanical and chemical surroundings stimulus, punctually the models that consider the volume of the PHGS as a monophasic homogeneous structure where multiple components coexist.In the beginning, the physical-chemical properties of PHGSs are connected with the crosslinking sort of the polymeric network, chemical or physical, and the kind bonds present between polymer chains.Initially, it presents the equilibrium state achieves between the PHGS and the surroundings and where the swelling or shrinking is stopped.Then, it exposes the infinitesimal deformation and the finite deformation approaches, from nonequilibrium thermodynamics, and the poroviscoelasticity approach as an alternative method, that describes the dynamical evolution of the PHGS.Finally, the finite deformation approach is extended to describe the multicomponent mass transfer in PHGS.