Analysis of a model for the dynamics of prions II Export

@article{citeulike:3658814, abstract = {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.}, archivePrefix = {arXiv}, author = {Engler, Hans and Pruess, Jan and Webb, Glenn F.}, citeulike-article-id = {3658814}, citeulike-linkout-0 = {http://arxiv.org/abs/math?papernum=0507575}, citeulike-linkout-1 = {http://arxiv.org/pdf/math?papernum=0507575}, day = {27}, eprint = {math?papernum=0507575}, keywords = {dynamics, model, prion}, month = {Jul}, posted-at = {2008-11-22 04:04:07}, priority = {2}, title = {Analysis of a model for the dynamics of prions II}, url = {http://arxiv.org/abs/math?papernum=0507575}, year = {2005} }

TY - JOUR ID - citeulike:3658814 L3 - citeulike-article-id:3658814 N2 - 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. TI - Analysis of a model for the dynamics of prions II KW - dynamics KW - model KW - prion AU - Engler, Hans AU - Pruess, Jan AU - Webb, Glenn PY - 2005/Jul/27/ UR - http://arxiv.org/abs/math?papernum=0507575 ER -