Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators

Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators
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DOI:
10.1063/1.3270262
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发表时间:
2009-12-01
期刊:
影响因子:
2.9
通讯作者:
Chiba, Hayato
Chiba, Hayato
中科院分区:
数学2区
文献类型:
--
作者:
Kuwamura, Masataka;Chiba, Hayato

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研究表明,在一定条件下,捕食者的休眠会导致捕食系统的种群动力学出现混合模振荡和混沌。利用快-慢系统理论证明了混合模振荡和混沌从共存平衡点分叉。这些结果可能有助于找到实验条件下,人们可以证明在一个简单的浮游植物-浮游动物(休眠卵)社区在一个微观宇宙中的混沌种群动态与短的持续时间。(C)2009年美国物理学会。[doi:10.1063/1.3270262]
It is shown that the dormancy of predators induces mixed-mode oscillations and chaos in the population dynamics of a prey-predator system under certain conditions. The mixed-mode oscillations and chaos are shown to bifurcate from a coexisting equilibrium by means of the theory of fast-slow systems. These results may help to find experimental conditions under which one can demonstrate chaotic population dynamics in a simple phytoplankton-zooplankton (-resting eggs) community in a microcosm with a short duration. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3270262]