A predator–prey model with general Holling type functional response is considered. The aim of this paper is to investigate the global stability of the interior equilibrium of the model when it exists. By transforming the model to an equivalent system and with the detailed analysis of the crucial behavior of a corresponding function we are able to show that the local stability and the global stability of the interior equilibrium are equivalent.

中文翻译：

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具有一般Holling型功能反应的捕食者-食饵模型的全局动力学。

考虑具有一般Holling型功能性反应的捕食者－食饵模型。本文的目的是研究模型内部平衡存在时的整体稳定性。通过将模型转换为等效系统，并通过对相应功能的关键行为进行详细分析，我们可以证明内部均衡的局部稳定性和全局稳定性是等效的。