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| 一类多因素HIV模型的研究 | |
| 引用本文： | 庄需芹,蔡磊,张建国,张丽娟,曹桂荣.一类多因素HIV模型的研究[J].数学的实践与认识,2011,41(24). |
| 作者姓名： | 庄需芹 蔡磊 张建国 张丽娟 曹桂荣 |
| 作者单位： | 1. 防灾科技学院基础课教学部,北京,065201 2. 廊坊燕京职业技术学院公共教学部,河北 三河,065200 3. 北方工业大学理学院,北京,100144 |
| 基金项目： | 防灾减灾青年科技基金(201009) |
| 摘 要： | 研究了一类多因素HIV模型.建立了一个标准型的DI模型,证明了无病平衡点的局部渐近稳定性和全局渐近稳定性. |
| 关 键 词： | DI模型 局部渐近稳定性 全局渐近稳定性 M矩阵理论 LaSalle不变原理 |
The Study of a Class of HIV Model with Some Factors |
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| ZHUANG Xu-qin , CAI Lei , ZHANG Jian-guo , ZHANG Li-juan , CAO Gui-rong.The Study of a Class of HIV Model with Some Factors[J].Mathematics in Practice and Theory,2011,41(24). | |
| Authors: | ZHUANG Xu-qin CAI Lei ZHANG Jian-guo ZHANG Li-juan CAO Gui-rong |
| Institution: | ZHUANG Xu-qin~1,CAI Lei~2,ZHANG Jian-guo~3,ZHANG Li-juan~1,CAO Gui-rong~1 (1.Department of Basic Course,Institute of Disaster Prevention Science and Technology,Yan Jiao 065201,China) (2.Department of Basic Course,Langfang Yanjing Vocational and Technical College,Sanhe 065200,China) (3.College of Science,North China University of Technology,Beijing 100144,China) |
| Abstract: | This paper studies a class of HIV models with some factors.We formulate a. standard DI model and prove the local asymptotic stability and global asymptotic stability of the infection-free equilibrium. |
| Keywords: | DI model local asymptotic stability global asymptotic stability M-matrix theory LaSalle invariance principle |
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