The sufficient and necessary conditions for the global asymptotic stability of the equilibrium point of the nonlinear circuits are obtained by vector comparison method.

利用向量比较原理，得到了确定非线性电路平衡点全局渐近稳定的充分必要条件。

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A new method is introduced to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit.

提出了一种新的分析非线性电路平衡点全局渐近稳定的方法。

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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.

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；

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