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arXiv · 1406.1807

Global stability for the prion equation with general incidence

Pierre Gabriel
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Abstract

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.

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Pierre Gabriel. 2014-06-06. Global stability for the prion equation with general incidence. https://doi.org/10.3934/mbe.2015.12.789

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