| 厚板转换结构拓扑优化设计 |
| |
| 引用本文： | 何益斌,李艳,黄频.厚板转换结构拓扑优化设计[J].湖南农业大学学报(自然科学版),2011,38(3):1-6. |
| |
| 作者姓名： | 何益斌 李艳 黄频 |
| |
| 作者单位： | (北京科技大学 东陵经济管理学院, 北京 100083) |
| |
| 摘 要： | 将治愈率以及饱和感染率引入基本的HIV病理模型, 构建一个改进的HIV病理模型. 利用微分动力系统的相关理论, 证明改进模型中无病平衡点和染病平衡点的全局渐近稳定性, 然后执行相关的数值模拟以验证所得结论. 研究结果表明: 在饱和感染率的条件下, HIV感染进程变缓; 同时提高治愈率能有效地控制HIV感染.
|
| 关 键 词： | 全局稳定性 HIV感染 治愈率 饱和感染率 |
An HIV Pathogenesis Model with Saturated Infection Rate and Cure rate |
| |
| HE Yi-bin,LI Yan,HUANG Pin.An HIV Pathogenesis Model with Saturated Infection Rate and Cure rate[J].Journal of Hunan Agricultural University,2011,38(3):1-6. |
| |
| Authors: | HE Yi-bin LI Yan HUANG Pin |
| |
| Institution: | (Dongling School of Economics and Management, University of Science and Technology Beijing, Beijing 100083, China) |
| |
| Abstract: | After introducing the cure rate and the saturated infection rate into the basic HIV pathogenesis model, this paper constructsed an improved HIV pathogenesis model. It proves the globally asymptotical stability of both the uninfected equilibrium point and the infected steady state by applying the related theory of differential dynamical systems, and then numerical simulations were carried out to check the main results. The investigation results indicate that HIV infection process will become slow under the condition of saturated infection rate, and that improving cure rate is able to control HIV infection efficiently. |
| |
| Keywords: | global stability HIV infection cure rate saturated infection rate |
|
| 点击此处可从《湖南农业大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《湖南农业大学学报(自然科学版)》下载免费的PDF全文 |
