簡易檢索 / 詳目顯示

研究生: 陳瑋伯
論文名稱: Global Solution of the Nonlinear Differential System of the HBV Model
Global Solution of the Nonlinear Differential System of the HBV Model
指導教授: 張幼賢
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2012
畢業學年度: 100
語文別: 英文
論文頁數: 15
中文關鍵詞: Hepatitis B virussemigroup argumentmonotone iterative method
英文關鍵詞: Hepatitis B virus, semigroup argument, monotone iterative method
論文種類: 學術論文
相關次數: 點閱:197下載:30
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

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.

下載圖示
QR CODE