论文标题

分散诱导的人口动态同步的时间模式

Temporal patterns of dispersal-induced synchronization in population dynamics

论文作者

Ahn, Sungwoo, Rubchinsky, Leonid L

论文摘要

振荡生态种群同步的机制和特性引起了人们的注意,因为它是一种相当普遍的现象,并且由于空间同步可能会提高灭绝风险,并可能导致其他环境影响。过去已经考虑过在线性耦合捕食者螺旋振荡器系统中稳定同步的条件。但是,空间分散耦合可能相对较弱,不一定会导致稳定,完全同步。如果振荡器之间的耦合太弱而无法诱导稳定的同步,则当同步动力学的发作插入了Dennchonchronized动力学时,振荡器可能会参与间歇性同步。在本研究中,我们考虑了两个分散偶联的Rosenzweig-Macarthur Predator-Prey-Prey-Prey振荡器的系统中这种间歇性同步动力学的时间模式。我们考虑了干燥间隔持续时间的分布的特性及其对模型参数的依赖性。我们表明,同步动力学(生态网络现象)的时间模式可能取决于单个捕食者捕集贴片(单个振荡器)的特性,并且可能独立于分散强度。我们还表明,如果捕食者的动态相对于猎物的动力学缓慢(这种情况可能会促进短暂但大暴发的情况),则分散耦合的捕食者 - 捕集型振荡群体表现出大量短暂的去同步(与少数长的DesynChronizations)相对,并且可能需要弱化的分散较弱才能达到强大的分散。

The mechanisms and properties of synchronization of oscillating ecological populations attract attention because it is a fairly common phenomenon and because spatial synchrony may elevate a risk of extinction and may lead to other environmental impacts. Conditions for stable synchronization in a system of linearly coupled predator-prey oscillators have been considered in the past. However, the spatial dispersion coupling may be relatively weak and may not necessarily lead to a stable, complete synchrony. If the coupling between oscillators is too weak to induce a stable synchrony, oscillators may be engaged into intermittent synchrony, when episodes of synchronized dynamics are interspersed with the episodes of desynchronized dynamics. In the present study we consider the temporal patterning of this kind of intermittent synchronized dynamics in a system of two dispersal-coupled Rosenzweig-MacArthur predator-prey oscillators. We consider the properties of the distributions of durations of desynchronized intervals and their dependence on the model parameters. We show that the temporal patterning of synchronous dynamics (an ecological network phenomenon) may depend on the properties of individual predator-prey patch (individual oscillator) and may vary independently of the strength of dispersal. We also show that if the dynamics of predator is slow relative to the dynamics of the prey (a situation that may promote brief but large outbreaks), dispersal-coupled predator-prey oscillating populations exhibit numerous short desynchronizations (as opposed to few long desynchronizations) and may require weaker dispersal in order to reach strong synchrony.

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