具有阿利效应的捕食者 - 猎物系统中的分岔与混沌
Bifurcations and chaos in a predator-prey system with the Allee effect.
作者信息
Morozov Andrew, Petrovskii Sergei, Li Bai-Lian
机构信息
Ecological Complexity and Modeling Laboratory, Department of Botany and Plant Sciences, University of California at Riverside, Riverside, CA 92521-0124, USA.
出版信息
Proc Biol Sci. 2004 Jul 7;271(1546):1407-14. doi: 10.1098/rspb.2004.2733.
It is known from many theoretical studies that ecological chaos may have numerous significant impacts on the population and community dynamics. Therefore, identification of the factors potentially enhancing or suppressing chaos is a challenging problem. In this paper, we show that chaos can be enhanced by the Allee effect. More specifically, we show by means of computer simulations that in a time-continuous predator-prey system with the Allee effect the temporal population oscillations can become chaotic even when the spatial distribution of the species remains regular. By contrast, in a similar system without the Allee effect, regular species distribution corresponds to periodic/quasi-periodic oscillations. We investigate the routes to chaos and show that in the spatially regular predator-prey system with the Allee effect, chaos appears as a result of series of period-doubling bifurcations. We also show that this system exhibits period-locking behaviour: a small variation of parameters can lead to alternating regular and chaotic dynamics.
从许多理论研究中可知，生态混沌可能对种群和群落动态产生众多重大影响。因此，识别潜在增强或抑制混沌的因素是一个具有挑战性的问题。在本文中，我们表明阿利效应可以增强混沌。更具体地说，我们通过计算机模拟表明，在具有阿利效应的时间连续捕食者 - 猎物系统中，即使物种的空间分布保持规则，种群的时间振荡也可能变得混沌。相比之下，在没有阿利效应的类似系统中，规则的物种分布对应于周期性/准周期性振荡。我们研究了通向混沌的途径，并表明在具有阿利效应的空间规则捕食者 - 猎物系统中，混沌是一系列倍周期分岔的结果。我们还表明该系统表现出周期锁定行为：参数的微小变化会导致规则和混沌动态交替出现。
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