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In this paper we study implications of the possible excess of 21-cm lineglobal signal at the epoch of cosmic dawn on the evolutions of a class ofdynamically interacting dark energy (IDE) models. We firstly summarize twodynamical mechanisms in which different background evolutions can exertconsiderable effects on the 21-cm line global signal. One is the decouplingtime of Compton scattering heating, the other stems from the direct change ofoptical depth due to the different expansion rate of the Universe. After that,we investigate the IDE models to illustrate the tension between the results ofExperiment to Detect the Global Epoch of reionization Signature (EDGES) andother experiments. To apply the analyses of these two mechanisms to IDE models,we find that only the optical depth can be significantly changed. Accordingly,in order to relieve the tension by including the effects of the decoupling timeof Compton scattering heating, we deduce a possible evolution form for theHubble parameter within IDE that begins at an early stage around $z\sim 100$and then smoothly evolves to a value at $z\sim 17$ which is smaller than thatobtained in the standard paradigm. Eventually, we fulfill this scenario byadding an early dark energy dominated stage to the cosmological paradigmdescribed by IDE models, which can alleviate the tension between EDGES andother cosmological observations but cannot completely solve it.

Implications of the possible 21-cm line excess at cosmic dawn on dynamics of interacting dark energy