论文标题

在异质环境中分散的个人差异的种群:动态和竞争仅扩散人群

Populations with individual variation in dispersal in heterogeneous environments: dynamics and competition with simply diffusing populations

论文作者

Cantrell, Robert Stephen, Cosner, Chris, Yu, Xiao

论文摘要

我们考虑一个在异质环境中的人群模型,具有逻辑类型的本地人口动态,假设个体可以在两个不同的非零扩散速率之间切换。在某些天然系统中已经观察到了这种切换行为。我们研究环境异质性以及开关和扩散率如何影响人群的持久性。模型中的反应扩散系统在某些人群密度上可以是合作的,而在其他人群中则具有竞争力。结果将我们先前在均匀环境中类似模型上的工作扩展了。我们还考虑了两个在生态学上相同的人群之间的竞争,但是一个人群以固定速率扩散,而另一个人群则在两个不同的扩散率之间进行开关。这样做的动机是洞悉何时切换可能是有利的,而不是以固定速度扩散。这是对固定扩散率不同的生态相同竞争者的经典结果的变化,众所周知,较慢的扩散器会获胜。

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior has been observed in some natural systems. We study how environmental heterogeneity and the rates of switching and diffusion affect the persistence of the population. The reaction diffusion systems in the models can be cooperative at some population densities and competitive at others. The results extend our previous work on similar models in homogeneous environments. We also consider competition between two populations that are ecologically identical, but where one population diffuses at a fixed rate and the other switches between two different diffusion rates. The motivation for that is to gain insight into when switching might be advantageous versus diffusing at a fixed rate. This is a variation on the classical results for ecologically identical competitors with differing fixed diffusion rates, where it is well known that the slower diffuser wins.

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