title: Global stability for the prion equation with general incidence.
abstract: We consider the so-called prion equation with the general incidence term introduced in [14], and we investigate the stability of the steady states. The method is based on the reduction technique introduced in [11]. The argument combines a recent spectral gap result for the growth-fragmentation equation in weighted L1 spaces and the analysis of a nonlinear system of three ordinary differential equations.
authors.affiliation: Laboratoire de Mathematiques de Versailles, CNRS UMR 8100, Universite de Versailles Saint-Quentin-en-Yvelines, 45 Avenue de Etats-Unis, 78035 Versailles cedex, France. pierre.gabriel@uvsq.fr.
authors.forename: Pierre
authors.initials: P
authors.lastname: Gabriel
mesh_terms: D003198:Computer Simulation; D019281:Dimerization; D008956:Models, Chemical; D046912:Multiprotein Complexes / Q000737:chemistry*; D011328:Prions / Q000737:chemistry*; D011485:Protein Binding
chemical_list: D046912:Multiprotein Complexes; D011328:Prions