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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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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