1. Reaction diffusion equations and the chronification of liver infections
- Author
-
Kerl, Hermann-Johannes, Langemann, Dirk, and Vollrath, Antje
- Subjects
- *
REACTION-diffusion equations , *LIVER injuries , *PREDATION , *QUALITATIVE research , *CHRONIC diseases , *HEPATITIS , *NUMERICAL analysis - Abstract
Abstract: A predator-prey system is used to model the time-dependent virus and lymphocyte population during a liver infection. We show mathematically that the resulting reaction-diffusion equation has non-trivial stationary solutions whenever the underlying domain is sufficiently large or fissured. The non-trivial stationary solutions are interpreted as chronic liver infections. Thus qualitative differences between acute and chronic hepatitis infections become dispensable. Finally, numerical simulations for the chronification are presented. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
- View/download PDF