| 一类具有免疫时滞和病毒颗粒的HIV模型的动力学性态分析 |
| |
| 引用本文： | 王海彬,李云飞,刘云.一类具有免疫时滞和病毒颗粒的HIV模型的动力学性态分析[J].军械工程学院学报,2013(6):65-71. |
| |
| 作者姓名： | 王海彬 李云飞 刘云 |
| |
| 作者单位： | [1]军械工程学院基础部,河北石家庄050003 [2]72351部队,山东莱芜271109 [3]陆军指挥学院训练部,河北石家庄050084 |
| |
| 基金项目： | 国家自然科学基金资助项目（11071254） |
| |
| 摘 要： | 考虑感染细胞的治愈和未感染细胞吸收作用的影响，研究一类具有免疫时滞和病毒颗粒的HIV模型，通过分析特征方程研究平衡点的局部稳定性，利用规范型理论和中心流行定理得到确定Hopl分支方向和分支周期解稳定性的计算公式，并通过构造Lyapunov泛函，讨论未感染平衡点的全局稳定性．
|
| 关 键 词： | 时滞 HIV模型 Hopf分支 稳定性 |
Dynamic Analysis of an HIV Model with Delayed Immune Response and Virions |
| |
| WANG Hai-bin,LI Yun-fei,LIU Yun.Dynamic Analysis of an HIV Model with Delayed Immune Response and Virions[J].Journal of Ordnance Engineering College,2013(6):65-71. |
| |
| Authors: | WANG Hai-bin LI Yun-fei LIU Yun |
| |
| Institution: | 1. Basic Courses Department,Ordnance Engineering College,Shijiazhuang 050003,Chinas2. Unit 72351,Laiwu 271109,China;3. Training Department,Shijiazhuang Army Command College,Shijiazhuang 050084,China) |
| |
| Abstract: | Considering the cure of the infected cells and absorption effects of the uninfected cells, an HIV infection model with delayed immune response and virions is investigated. The local sta- bility of each equilibrium is discussed by analyzing the corresponding characteristic equations. Based on the normal form theory and center manifold, the formulas for determining the direction of Hopf bifurcation and the stability of bifurcated periodic solutions are confirmed. Moreover, by constructing proper Lyapunov functional, the global stability of the infection-free equilibrium is discussed. |
| |
| Keywords: | time delay HIV model Hopf bifurcation stability |
| 本文献已被 维普 等数据库收录！ |
