Auger Pierre, Bravo de la Parra Rafael, Morand Serge, Sánchez Eva
U.M.R. C.N.R.S. 5558, Université Claude Bernard Lyon-1, 43 Boul. 11 novembre 1918, 69622 Villeurbanne cedex, France.
Math Biosci. 2002 May-Jun;177-178:185-200. doi: 10.1016/s0025-5564(01)00112-2.
In this work we present a predator-prey model that incorporates individual behavior of the predators. A classical Lotka-Volterra model with self-limiting prey describes the predator-prey interaction. Predator individuals can use two behavioral tactics to dispute a prey when they meet, the classical hawk and dove tactics. Each individual can use both tactics along its life. The predator behavioral change is described by means of a game dynamic model based upon the replicator equations, where the gain depends on prey density. We assume that the demographic process, predator-prey interactions, acts at a slow time scale in comparison with the evolution of the behavior of the predator population. The existence of two time scales allows studying the complete system from a reduced one, which describes the dynamics of the total predator and prey densities at the slow time scale. The aim of this work is to study the effects of individual predator behavior on the dynamics of the predator-prey system. The main conclusion that emerges from this study is the existence of a relationship between prey density and the strategy adopted by predators: aggressive behavior is connected to high prey and low predator densities, whereas a polymorphism dove-hawk is found at low prey and high predator densities.
在这项工作中，我们提出了一个包含捕食者个体行为的捕食者 - 猎物模型。一个具有自我限制猎物的经典洛特卡 - 沃尔泰拉模型描述了捕食者 - 猎物的相互作用。捕食者个体在相遇时可以使用两种行为策略来争夺猎物，即经典的鹰派和鸽派策略。每个个体在其一生中都可以使用这两种策略。捕食者行为的变化是通过一个基于复制者方程的博弈动态模型来描述的，其中收益取决于猎物密度。我们假设，与捕食者种群行为的演化相比，种群动态过程，即捕食者 - 猎物相互作用，在一个较慢的时间尺度上起作用。两个时间尺度的存在使得可以从一个简化的系统来研究整个系统，该简化系统描述了在较慢时间尺度上总捕食者和猎物密度的动态。这项工作的目的是研究捕食者个体行为对捕食者 - 猎物系统动态的影响。这项研究得出的主要结论是猎物密度与捕食者所采用的策略之间存在一种关系：攻击性行为与高猎物密度和低捕食者密度相关，而在低猎物密度和高捕食者密度下会发现鸽 - 鹰多态性。
