  We consider the so-called prion equation with the general incidence term
introduced in [Greer et al., 2007], and we investigate the stability of the
steady states. The method is based on the reduction technique introduced in
[Gabriel, 2012]. The argument combines a recent spectral gap result for the
growth-fragmentation equation in weighted $L^1$ spaces and the analysis of a
nonlinear system of three ordinary differential equations.
