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Global stability for the prion equation with general incidence

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 نشر من قبل Pierre Gabriel
 تاريخ النشر 2014
  مجال البحث
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 تأليف Pierre Gabriel




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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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