| 带有治疗和疫苗注射的HBV和HCV交叉感染模型分析 |
| |
| 引用本文： | 向茜,王稳地,张攀.带有治疗和疫苗注射的HBV和HCV交叉感染模型分析[J].西南师范大学学报(自然科学版),2019,44(1):1-6. |
| |
| 作者姓名： | 向茜 王稳地 张攀 |
| |
| 作者单位： | 西南大学数学与统计学院 |
| |
| 基金项目： | 国家自然科学基金资助项目（11571284）. |
| |
| 摘 要： | 建立了一个带有治疗和注射乙肝疫苗的HBV-HCV交叉感染模型.首先证明了解的正定性和有界性,通过构造Lyapunov函数得到了疾病消失的条件;其次根据Hurwitz矩阵的相关性质得到了只感染HBV和只感染HCV平衡点的局部稳定性条件.
|
| 关 键 词： | 治疗 疫苗注射 交叉感染 稳定性 |
| 收稿时间： | 2018/7/20 0:00:00 |
Analysis of an HBV and HCV Coinfection Model with Treatment and Vaccination |
| |
| XIANG Qian,WANG Wen-di,ZHANG Pan.Analysis of an HBV and HCV Coinfection Model with Treatment and Vaccination[J].Journal of Southwest China Normal University(Natural Science),2019,44(1):1-6. |
| |
| Authors: | XIANG Qian WANG Wen-di ZHANG Pan |
| |
| Institution: | Department of Mathematics and Statistic, Southwest University, Chongqing 400715, China |
| |
| Abstract: | In this paper, an HBV and HCV coinfection model which considers treatment and injection of hepatitis B vaccine has been established. First, we have proved the positivity and boundedness of solutions, and obtain the condition of disappearance of the disease by constructing Lyapunov function. Then, according to the correlation property of Hurwitz matrix, we obtain the locally asymptotically stability conditions of the HBV-only equilibrium and HCV-only equilibrium. |
| |
| Keywords: | Treatment vaccination coinfection stability |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《西南师范大学学报(自然科学版)》下载免费的PDF全文 |
