针对更一般的情形，利用压缩映象原理，给出了蛛网模型的稳定性条件，取消了通常的线性假设，同时提供了“蛛网”的一种简洁的几何描述。

With the use of the shrinked-map principle, we obtain a more general condition of the stability in cobweb model, where the usually cited linear hypothesis is canceled.

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在工程实际的框架稳定计算中，一般采用计算长度法等一阶近似计算法，由于采用了较多的假设，因此只能进行近似线性计算。

It is usually use first-order method such as effective lengths method in engineering practical stability compute. Because of much hypothesis adopted, so it can only make approximate analysis.

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在一般假设条件下，证明了算法的全局收敛性和超线性收敛性。

Under the general assumption, the algorithm of global convergence and superlinear convergence are proved.

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