Reaction diffusion equations and the chronification of liver infections

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• 作者：Hermann-Johannes Kerl ; Dirk Langemann ; Antje Vollrath
• 关键词：92B05 ; 35K57 ; 65M99
• 刊名：Mathematics and Computers in Simulation
• 出版年：2012
• 出版时间：July, 2012
• 年：2012
• 卷：82
• 期：11
• 页码：2145-2156
• 全文大小：770 K

文摘

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.