Reaction diffusion equations and the chronification of liver infections

Hermann-Johannes Kerl, Dirk Langemann and Antje Vollrath

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 11, 2145-2156

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.

Keywords: Reaction diffusion equation; Mathematical modeling; Liver inflammation; Chronification (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:11:p:2145-2156

DOI: 10.1016/j.matcom.2012.04.011

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