Abstract
Three aspects of the triple interacting dark energy model are studied. The relation between two types of the triple interacting dark energy models is investigated first. Then, the concrete forms of the interacting terms are given by supposing ratios between different energy components is stationary. Furthermore, the stability of the triple interacting dark energy model with different transfer terms is studied in detail, and the complete table of relations between the stability and the transfer terms is given, we find that only models with transformation between matter and dark energy proportional to ρc or ρDE, while the transformation between radiation and matter is not proportional to ρR, are stable against perturbation, which give strong restriction on the model building of the triple interacting.
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