SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1778-1795, January 2020.
The goal of this paper is to explain how to derive the classical Rosenzweig--MacArthur model by using a model with two groups of predators in which we can separate the vital dynamic and consumption of prey to describe the behavior of the predators. This will be especially very convenient if we want to add an age or size structure to the predator population. As mentioned by Holling (without mathematical model), we divide the population of predators into the searching and the handling predators. In this article we study some properties of this model and conclude by proving that the model converges to the classical Rosenzweig--MacArthur model by using an appropriate rescaling. This convergence property is observed by using numerical simulations. We also apply this model to the Canadian snowshoe hares and the lynx.

中文翻译：

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具有处理和搜索捕食者的Holling捕食者-食饵模型。

SIAM应用数学杂志，第80卷，第4期，第1778-1795页，2020年1月。
本文的目的是解释如何通过使用具有两组捕食者的模型来推导经典的Rosenzweig-MacArthur模型，在该模型中，我们可以将生命的动态变化和猎物的消耗分开来描述捕食者的行为。如果我们想为捕食者种群增加年龄或大小结构，这将特别方便。正如Holling（没有数学模型）所提到的，我们将捕食者的种群分为搜索捕食者和处理捕食者。在本文中，我们研究了该模型的某些属性，并通过使用适当的重新定标证明该模型收敛到经典的Rosenzweig-MacArthur模型，得出结论。通过使用数值模拟可以观察到这种收敛性。我们还将这种模型应用于加拿大的雪兔和山猫。