  A brief review of the existing kinetic-magnetohydrodynamic(MHD) hybrid models
for the alpha particle physics in burning plasma demonstrates that the
pressure-coupling scheme is equivalent to the current-coupling scheme only in a
specific dynamic regime where the alpha particle density is much lower than the
background ion and electron. A more comprehensive kinetic-multifluid model is
proposed for a proper account of the dynamical regime of the burning plasma
where both the energetic alpha and the helium ash particles are present. The
Kinetic-multifluid model is further simplified into an extended hybrid
kinetic-MHD model in the MHD limit. This reduction process demonstrates that
the existing pressure-coupling scheme is more extensive than the
current-coupling scheme and sufficient for the wide range of dynamical regimes.
This analysis further shows a significant change in the model equations mainly
the generalized Ohm's law due to the contributions of a significant amount of
alpha particles in the system. These models can be used for studies of the
impact of the alpha particles present in ignited burning plasma and space
plasma.
