受害者-剥削者集合种群的局部富集及其非局部后果
Local enrichment and its nonlocal consequences for victim-exploiter metapopulations
摘要:
局部富集的稳定作用被重新审视。扩散耦合的寄主-寄生蜂和捕食者-被捕食者集合种群存在稳定的不动点、极限环或具有丰富分支结构的稳定环面。一个线性玩具模型,该系统产生许多基本的定性特征。进一步的非线性并发症分析的框架内的边缘稳定的洛特卡-沃尔泰拉模型,和连续时间模拟的不稳定,主机寄生Nicholson-Bailey模型。的依赖性的结果上的迁移率和水平的空间变化进行检查,和“非本地”的富集效果的可能性,其中本地富集诱导稳定的振荡的距离,进行了研究。一个简单的方法基本估计的相对重要性,这种影响在实验系统中,并举例说明。
英文摘要:
The stabilizing effects of local enrichment are revisited. Diffusively coupled host-parasitoid and predator-prey metapopulations are shown to admit a stable fixed point, limit cycle or stable torus with a rich bifurcation structure. A linear toy model that yields many of the basic qualitative features of this system is presented. The further nonlinear complications are analyzed in the framework of the marginally stable Lotka-Volterra model, and the continuous time analog of the unstable, host-parasitoid Nicholson-Bailey model. The dependence of the results on the migration rate and level of spatial variations is examined, and the possibility of "nonlocal" effect of enrichment, where local enrichment induces stable oscillations at a distance, is studied. A simple method for basic estimation of the relative importance of this effect in experimental systems is presented and exemplified.
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