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具有扩散和时滞的乙肝病毒模型动力学

Dynamics of an HBV model with diffusion and delay.

作者信息

Wang Kaifa, Wang Wendi, Song Shiping

机构信息

Department of Mathematics, College of Medicine, Third Military Medical University, Chongqing 400038, PR China.

出版信息

J Theor Biol. 2008 Jul 7;253(1):36-44. doi: 10.1016/j.jtbi.2007.11.007. Epub 2007 Nov 19.

DOI:10.1016/j.jtbi.2007.11.007
PMID:18155252
Abstract

In this paper we model and analyze the hepatitis B virus (HBV) infection in a diffusion model confined to a finite domain, induced by intracellular time delay between infection of a cell and production of new virus particles. The equilibrium solutions are obtained and the stability is analyzed if the space is assumed as homogeneous. When the space is inhomogeneous, the effects of diffusion and intracellular time delay are obtained by computer simulations.

摘要

在本文中,我们在一个有限域受限的扩散模型中对乙型肝炎病毒(HBV)感染进行建模和分析,该模型由细胞感染与新病毒颗粒产生之间的细胞内时间延迟引发。若假设空间为均匀的,则可获得平衡解并分析其稳定性。当空间为非均匀时,通过计算机模拟得出扩散和细胞内时间延迟的影响。

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