Abstract

In this work, the behavior of interacting dark energy (DE) and dark matter (DM) within a model of (Formula presented.) gravity is explored, employing the standard framework of dynamical system analysis. The power-law (Formula presented.) model is considered, incorporating two different forms of interacting DE and DM: (Formula presented.) and (Formula presented.). The evolution of (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), and (Formula presented.) for different values of the model parameter (Formula presented.) and the interaction parameter (Formula presented.) is examined. The results indicate that the universe was dominated by matter in the early stages and will be dominated by DE in later stages. The analysis shows that the fixed points are found to be stable and represent the de Sitter and quintessence acceleration solutions. It is found that the dynamical profiles of the universe in (Formula presented.) DE models are influenced by both the interaction term and the relevant model parameters.