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| 变时滞HIV梯度传染模型的指数稳定性 | |
| 引用本文： | 曾志刚,廖晓昕. 变时滞HIV梯度传染模型的指数稳定性[J]. 数学的实践与认识, 2005, 35(2): 164-168 |
| 作者姓名： | 曾志刚 廖晓昕 |
| 作者单位： | 1. 湖北师范学院数学系,湖北,黄石,435002;中国科学技术大学自动化系,安徽,合肥,230026 2. 华中科技大学控制科学与工程系,湖北,武汉,430074 |
| 基金项目： | 国家自然科学基金 (60 2 740 0 7)资助项目，湖北省教育厅优秀青年项目 (2 0 0 3 B0 0 1 ) |
| 摘 要： | 考虑了一类具变时滞和常恢复率的同质人群 HIV梯度传染模型 ,得到了一个阈值 ,当阈值小于 1时 ,疾病消除平衡点全局指数渐近稳定 ,当阈值大于 1时 ,传染病平衡点存在唯一 ,同时得到该传染病平衡点局部指数渐近稳定的充分条件 . |
| 关 键 词： | HIV模型 阈值 平衡点 指数稳定性 |
| 修稿时间： | 2003-01-27 |
Exponential Stability of HIV Transmission Model with Infectious Stages and Time-Varying Delay |
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| ZENG Zhi-gang,LIAO Xiao-xin. Exponential Stability of HIV Transmission Model with Infectious Stages and Time-Varying Delay[J]. Mathematics in Practice and Theory, 2005, 35(2): 164-168 | |
| Authors: | ZENG Zhi-gang LIAO Xiao-xin |
| Affiliation: | ZENG Zhi-gang 1,2,LIAO Xiao-xin3 |
| Abstract: | An HIV transmission model is formulated for homogeneous population with stages of progress to AIDs, with time-varying delay. A threshold is identified. If the threshold is smaller than one, the disease-free equilibrium is globally exponentially stable; if the threshold is greater than one, there is a endemic equilibrium. And, a sufficient condition has been obtained to guarantee the local exponential stability of endemic equilibrium. |
| Keywords: | HIV model threshold equilibrium exponential stability |
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