# Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach

## TL;DR

This paper investigates an interacting agegraphic dark energy model within DGP brane-world cosmology using dynamical systems, constraining parameters with observational data and analyzing stability and singularity avoidance.

## Contribution

It introduces a dynamical system approach to analyze the stability of an interacting agegraphic dark energy model in DGP cosmology, including observational constraints and stability analysis.

## Key findings

- Dark energy dominated era can be stable with interaction.
- Big rip singularity can be avoided in the model.
- Model parameters are constrained by observational data.

## Abstract

A proposal to study the effect of interaction in an agegraphic dark energy model in DGP brane-world cosmology is presented in this manuscript. After explaining the details, we proceed to apply the dynamical system approach to the model to analyze its stability. We first, constrain model parameters with a variety of independent observational data such as cosmic microwave background anisotropies, baryon acoustic oscillation peaks and observational Hubble data. Then, we obtain the critical points related to different cosmological epochs. In particular, we conclude that in the presence of interaction, dark energy dominated era could be a stable point if model parameters $n$ and $\beta$, obey a given constraint. Also, big rip singularity is avoidable in this model.