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The Research of HBV Infection Dynamics
Author: FangHaiQuan
Tutor: ZhouTieJun
School: Hunan Agricultural University
Course: Biomathematics
Keywords: Hepatitis B virus Infection immunity Time Delay Equilibrium point Stability Positive Periodic Solution for Coincidence degree theory
CLC: R512.62
Type: Master's thesis
Year: 2011
Downloads: 46
Quote: 0
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Abstract
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In this paper, the hepatitis B virus infection of the stability of the power system and periodic , sufficient conditions for the stability and positive existence of periodic solutions . The text consists of three parts , the concrete structure is as follows . The first chapter gives an overview of the development history and previous studies of the dynamics of infection related to work , and this paper, the background of the problem . The second chapter begins with the establishment of the immune response in hepatitis B virus infection dynamics model , Routh-Hurwitz criterion to obtain sufficient conditions for local stability of the positive equilibrium point . Followed by the establishment of a mathematical model of the immune delays , stable switch will occur with increasing time delays . Concludes with a discussion of the mathematical model has three different time delays , sufficient conditions for local stability of the immune balance point . Chapter stained virus cells with uninfected cells can reproduce , and to consider the changing environment of the cycle , the establishment of chronic hepatitis B virus infection cycle model application coincidence degree theory model existence of positive periodic solutions conclusion , good explain fluctuations in patients with chronic hepatitis B virus content in the body image .
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CLC: > Medicine, health > Internal Medicine > Infectious disease > Viral infections > Viral Hepatitis > Hepatitis B
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