具有抗体反应的HBV/HCV传染病模型的全局性态分析（英文）  

Global Dynamics of a HBV/HCV Model with Antibody Response

作　　者：胡新利[1] 李建全[2] 周义仓[3] 

机构地区：[1]西安工程大学理学院,西安710048 [2]西安空军工程大学应用数学物理系,西安710051 [3]西安交通大学数学与统计学院,西安710049

出　　处：《工程数学学报》2014年第5期753-763,共11页Chinese Journal of Engineering Mathematics

基　　金：The National Nature Science Foundation of China(11371369;11101323);the Natural Science Basic Research Plan in Shaanxi Province(2013JM1002);the Foundation of Shaanxi Provincial Education Department(12JK0855);the Scientific Research Foundation of Xi’an Polytechnic University(BS1208)

摘　　要：本文建立了在肝脏和血液中存在乙肝病毒(HBV)或丙肝病毒(HCV)的数学模型,并且考虑了抗体的作用.得到了两个阈值参数R01和R02,它们决定了HBV/HCV感染和抗体反应的持续性和绝灭性.结果表明,当R01<1时,病毒最终被清除,抗体反应消失;当R02<1<R01,病毒在宿主中存在,但是抗体反应最终消失;当R02>1,病毒和抗体反应最终在宿主中持续.In this paper, we propose a mathematical model of ordinary differential equations describing the dynamics of hepatitis B virus （HBV） or hepatitis C virus （HCV） in the liver and the blood, where antibody response is considered. For the model, two threshold parameters R01 and R02 are found, which determine the persistence or extinction of HBV/HCV infection and antibody response, respectively. And both of the associated basic reproduction numbers are obtained. The obtained results show that when R01〈1, the virus will be cleared out eventually, and the antibody response also disappears; when R02 〈1〈R01, the virus persists within host, but the antibody response disappears eventually; when R02＆gt;1, both of the virus and the antibody response persist forever within host.

关 键 词：HBV/HCV 抗体反应 基本再生数 平衡点 全局稳定性 

分 类 号：O175[理学—数学]