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利用Lyapunov函数方法和LaSalle不变集原理研究了带有Holling-Tanner第Ⅱ类功能性型反应的自免疫疾病动力学模型的全局稳定性.当基本再生数R0≤1,病毒在体内清除;而R0>1时,病毒在体内持续生存.利用Routh-Hurwitz原理研究了带有Holling-Tanner第Ⅲ类功能性反应的自免疫疾病动力学模型的局部稳定性.
The global stability of the autoimmune disease kinetic model with Holling-Tanner class Ⅱ functional response is investigated by using the Lyapunov function method and the LaSalle invariant set theory. When the basic reproductive number R0≤1, the virus is cleared in the body. The virus survived in vivo at R0> 1. The local stability of the autoimmune disease kinetic model with Holling-Tanner class III functional response was investigated using the Routh-Hurwitz principle.