Analysis of a model for the dynamics of prions II
| dc.creator | Engler, Hans | |
| dc.creator | Pruess, Jan | |
| dc.creator | Webb, Glenn F. | |
| dc.date | 2005-07-27 | |
| dc.date.accessioned | 2026-07-07T05:22:04Z | |
| dc.date.available | 2026-07-07T05:22:04Z | |
| dc.description | A new mathematical model for the dynamics of prion proliferation involving an ordinary differential equation coupled with a partial integro-differential equation is analyzed, continuing earlier work. We show the well-posedness of this problem in a natural phase space, i.e. there is a unique global semiflow in the phase space associated to the problem. A theorem of threshold type is derived for this model which is typical for mathematical epidemics. If a certain combination of kinetic parameters is below or at the threshold, there is a unique steady state, the disease-free equilibrium, which is globally asymptotically stable; above the threshold it is unstable, and there is another unique steady state, the disease equilibrium, which inherits that property. | |
| dc.identifier | https://arxiv.org/abs/math/0507575 | |
| dc.identifier | http://arxiv.org/abs/math/0507575 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75920 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q80; 92C45 | |
| dc.title | Analysis of a model for the dynamics of prions II | |
| dc.type | text |