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一类具有时滞的HIV-1感染模型全局性质
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳师范学院数学与信息科学院,河南信阳464000
  • 相关基金：Foundation item： Supported by the National Natural Science Foundation of China （10971178） ; University Key Teacher Foundation of Henan Province （2009GGJS-076） ,the Innovative Research Team in Science and Technology in University of Henan Province （2010IRTSTHN006）,the Natural Science Foundation of Henan Province （102300410022）
作者： 蔡礼明[1]
关键词： 时滞, 全局稳定性, LYAPUNOV, 泛函, HIV-1, 病毒, Time delay , Global stability, Lyapunov functional, HIV-1 virus
中文摘要：

重新考虑了一类带有时滞的HIV-1感染模型．运用Hale和Waltmann持续生存理论，得到了再生数R〉1，系统中种群是持续生存的；通过构造Lyapunov泛函，证明了系统中平衡态的全局稳定性．得到了再生数R〉1能够完全确定模型全局动力学性质．

英文摘要：

In this paper, a delayed HIV-1 infection model with time delay is reinvestigated. By applying Hale and Waltmann＇s persistence theory,it is shown that if the reproduction number R 〉 1, system is permanent; By constructing Lyapunov functional, the global stability of the equilibria in the model is proved. It is found that the global dynamics of the system is completely determined by the reproduction number R.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
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  • 被引量:4139