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Author: 陳瑋伯
Thesis Title: Global Solution of the Nonlinear Differential System of the HBV Model
Global Solution of the Nonlinear Differential System of the HBV Model
Advisor: 張幼賢
Degree: 碩士
Master
Department: 數學系
Department of Mathematics
Thesis Publication Year: 2012
Academic Year: 100
Language: 英文
Number of pages: 15
Keywords (in Chinese): Hepatitis B virussemigroup argumentmonotone iterative method
Keywords (in English): Hepatitis B virus, semigroup argument, monotone iterative method
Thesis Type: Academic thesis/ dissertation
Reference times: Clicks: 211Downloads: 30
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In this thesis we consider the hepatitis B virus (HBV) infection in a diffusion model confined to a finite domain. We prove the global existence and uniqueness of positive solution to the HBV model by using semigroup argument and monotone iterative method.

In this thesis we consider the hepatitis B virus (HBV) infection in a diffusion model confined to a finite domain. We prove the global existence and uniqueness of positive solution to the HBV model by using semigroup argument and monotone iterative method.

1 Introduction and Preliminaries 3 1.1 Semigroup Argument 4 1.2 Monotone Iterative Method 6 2 Main Results 7 3 References 14

[1] R.Palmer Beasley, Chia-Chin Lin, Lu-Yu Hwang, Chia-Siang Chien, Hepatocellular
carcinoma and hepatitis B virus, The Lancet 318 (1981), 1129-1133.
[2] Weissberg J. I., Andres L. L., Smith C. I., Weick S., Nichols J. E., Garcia G.,
Robinson W. S., Merigan T. C., Gregory P. B., Survival in chronic hepatitis B,
Ann. Intern. Med., 101 (1984), 613-616.
[3] Kaifa Wang, Wendi Wang, Propagation of HBV with spatial dependence,
Mathematical Biosciences, 210 (2007), 78-95.
[4] Kaifa Wang, Wendi Wang, Shiping Song, Dynamics of an HBV model with
diffusion and delay, Journal of Theoretical Biology, 253 (2008), 36-44.
[5] Amnon Pazy, Semigroups of Linear Operators and Applications to Partial Differential
Equations, Springer, 1992.
[6] C.V. Pao, Nonlinear Parabolic and Elliptic Equations, Springer, 1993.

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