一类具有时滞的HIV-1感染模型全局性质(英文)  

Global Properties for a HIV-1 Infection Model with Time Delay

作　　者：蔡礼明[1] 

机构地区：[1]信阳师范学院数学与信息科学院,河南信阳464000

出　　处：《应用数学》2011年第3期456-461,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(10971178);University Key Teacher Foundation of Henan Province(2009GGJS-076);the Innovative Research Teamin Science and Technologyin University of Henan Province(2010IRTSTHN006);the Natural Science Foundation of Henan Province(102300410022)

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.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.

关 键 词：时滞 全局稳定性 LYAPUNOV 泛函 HIV-1 病毒 

分 类 号：O175[理学—数学]