具有CTL免疫反应的HTLV-I感染模型的全局稳定性

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 618-624.

具有CTL免疫反应的HTLV-I感染模型的全局稳定性

Department of Mathematics and Computer Science, Xinyang Vocational and Technical College

收稿日期:2012-12-26 出版日期:2013-12-30 发布日期:2023-02-20
作者简介:SONG Qiang(1981-), male, native of Xinyang, Henan, a lecturer of Xinyang Vocational and Technical College, M.S.D., engages in biomathematics.
基金资助:
Supported by the Scientfic and Technological Project of Henan Province(122300410034,132300410344)； Supported by the the Universities Young Teachers Program of Henan Province(2010GGJS-104)

Global Stability in a Model for CTL Response to HTLV-I Infection

Department of Mathematics and Computer Science, Xinyang Vocational and Technical College

Received:2012-12-26 Online:2013-12-30 Published:2023-02-20
About author:SONG Qiang(1981-), male, native of Xinyang, Henan, a lecturer of Xinyang Vocational and Technical College, M.S.D., engages in biomathematics.
Supported by:
Supported by the Scientfic and Technological Project of Henan Province(122300410034,132300410344)； Supported by the the Universities Young Teachers Program of Henan Province(2010GGJS-104)

摘要/Abstract

摘要： In this paper, a mathematical model for HTLV-I infection of CD4+ T cells that incorporates the CD8+ cytotoxic T-cell(CTL) response is studied. We establish two threshold parameters R0 and R1, the basic reproduction numbers for viral persistence and for CTL response, respectively. We also show that the parameter R1 can be used to distinguish asymptomatic carriers from HAM/TSP patients and as an important control parameter for preventing the development of HAM/TSP.

关键词: CTL response, HTLV-I infection, global stability, Lyapunov function

Abstract: In this paper, a mathematical model for HTLV-I infection of CD4+ T cells that incorporates the CD8+ cytotoxic T-cell(CTL) response is studied. We establish two threshold parameters R0 and R1, the basic reproduction numbers for viral persistence and for CTL response, respectively. We also show that the parameter R1 can be used to distinguish asymptomatic carriers from HAM/TSP patients and as an important control parameter for preventing the development of HAM/TSP.

Key words: CTL response, HTLV-I infection, global stability, Lyapunov function

中图分类号:

O175.1

宋强. 具有CTL免疫反应的HTLV-I感染模型的全局稳定性[J]. 数学季刊, 2013, 28(4): 618-624.

SONG Qiang. Global Stability in a Model for CTL Response to HTLV-I Infection[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 618-624.

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