~*, time delay (?) does not affect the global stability of disease-free equilibrium.
当R_0<1时,通过构造Lyapunov泛函,证明无病平衡点是全局渐近稳定的,在此条件下,当τ>τ~*时,时滞τ的变化不影响无病平衡点的全局渐近稳定性。
参考来源 - 几类非线性生物数学模型的动力学行为研究·2,447,543篇论文数据,部分数据来源于NoteExpress
研究了免疫响应系统无病平衡点和正平衡点的全局稳定性问题。
The global stability of the disease-free equilibrium and the epidemic equilibrium in the immune-response system is studied.
通过构造 函数及根据 不变集原理证明了无病平衡点和地方病平衡点的全局渐近稳定性;
Then the disease-free equilibrium point and endemic equilibrium point were proved with global asymptotic stability by constructing functions and basing on the invariant set principle.
主要结论:当且仅当基本再生数小于等于时,系统存在唯一无病平衡点,且无病平衡点是全局渐近稳定。
The main conclusion drawn from this study is that: if and only if the basic productive number , the only disease-free equilibrium exists in the system and it is of global asymptotic stability.
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