| 引用本文： |
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谭光兴,陈少白,毛宗源.一类时滞免疫反应系统稳定性分析[J].广西科学,2006,13(1):19-22,26. [点击复制]
- TAN Guang-xing,CHEN Shao-bai,MAO Zong-yuan.Stability Analyze in a Class of Time-Delay Immune Response System[J].Guangxi Sciences,2006,13(1):19-22,26. [点击复制]
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| 摘要: |
| 采用Ляпунов函数方法,证明病毒感染的时滞免疫反应动力学模型dT/dt=γ-dT(t)-kT(t)V(t)dI/dt=kT(t)V(t)-δI(t)dV/dt=pI(t)-cV(t)的正平衡解稳定性,给出时滞的估计,证明时滞免疫反应系统的正平衡解渐近稳定和全时滞稳定条件. |
| 关键词: 免疫反应 时滞 正平衡解 稳定性 |
| DOI： |
| 投稿时间：2005-02-05修订日期：2005-04-07 |
| 基金项目:广州市科技局科技攻关计划——科技攻关引导项目(2003Z3-D0091)资助 |
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| Stability Analyze in a Class of Time-Delay Immune Response System |
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TAN Guang-xing1,2, CHEN Shao-bai1, MAO Zong-yuan1
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| (1.College of Automation Science and Engineering, South China University of Technology, Guangzhou, Guangdong, 510640, China;2.Management Engineering Department, Guangxi University of Technology, Liuzhou, Guangxi, 545006, China) |
| Abstract: |
| This paper studies stability of a class of time-delay immune response system dT/dt=γ-dT (t)-kT (t) V (t) dI/dt=kT (t) V (t)-δI (t) dV/dt=pI (t)-cV (t).By using the qualitative theory of differential equation and constructing Ляпунов functions, the bounded of time-delay and sufficient condition that guarantees positive equilibrium of system asymptotic stable are obtained. |
| Key words: immune respond time-delay positive equilibrium stability |
