I don't know if I have a "model" here, or just an "idea". At the very least, it's one of a series of "ideas" on the possible applicability of EHD to a wide variety of phenomena. Does that form "model"? I'll let you be the judge. Anyway, here it is...
We're all well aware that gravity is the primary force that causes the collapse of gas clouds into stars. But it's also possible that the electric force makes a small contribution. This sounds odd, as we have every reason to suspect that interstellar gas clouds are electrically net neutral. But this does not mean that every atom in the cloud is neutral. If aggregates are present (i.e., dust particles or anything larger), they tend to be negatively charged, and surrounded by Debye sheaths of positively charged plasma. This is because at the same temperature, electrons move faster (because they are lighter), and thus more electrons than atoms impact an aggregate (such as a dust particle). Once absorbed into the electron cloud of the aggregate, the electrons are less likely to be re-emitted. Hence a slight negative charge builds up in the aggregate, to the limits of the strength of the bonding in the aggregate versus the electrostatic potential between the body and the plasma, which pulls electrons back out.
Now consider two negatively charged bodies near each other, with their Debye sheaths overlapping. The electric field from the negative bodies radiates outward in all directions. All other factors being the same, the charge density in the positive plasma will be the same in all directions. But in the space between the two bodies, the negative electric field overlaps. As a consequence, there will be a greater density of positive plasma between the two negative bodies. The negative bodies will then be attracted to the positive plasma between them.
This effect is what Feyman called the "like-likes-like" principle, wherein like-charged bodies appear to be attracted to each other. They are, of course, repelled by their like charges, but they are also attracted to a shared opposite charge between them, and this pulls them together (up to a point).
As Debye sheaths are relatively small, we'd expect the effect to be relatively weak. Yet the anomalies in the gravity model are extremely small, and the electric force is extremely powerful compared to gravity. (The electric force between the proton and the electron in a hydrogen atom is 39 orders of magnitude greater than the gravitational force.) If the observations indicate that 5 times more gravity has to be present to cause the accretion that we see, this could be explained by 5 times more mass, or by 1 charged particle in every thousand-trillion-trillion-trillion.
So by electrostatic standards, this is a near-infinitesimal amount of force. But it might still be robust enough to make a contribution to gas cloud collapse.