论文标题
食物分配对具有或没有嗅觉的觅食者寿命的影响
Impact of food distribution on lifetime of a forager with or without sense of smell
论文作者
论文摘要
通过基本模型进行建模是一个问题，最近从几个角度研究了。但是，尚未实现了解食物的空间分布对觅食生命的影响。我们在这里探索食物在太空中的分布如何在几种不同的情况下影响觅食者的寿命。我们分析了一个随机的觅食者和一个闻到的觅食者，并在一个维度和二维中分析。我们首先考虑一般的食物分布，然后详细分析特定的分布，包括食物之间的恒定距离，每个地点存在的某些食物存在可能性以及食物之间距离的距离分布。对于一个没有气味的觅食者，我们可以分析寿命，而对于有气味的觅食者，我们发现了永生的条件。在两个维度上，我们根据分析考虑的考虑，将饥饿时间（$ s $）和食品密度（$ f $）的寿命（$ t $）缩放为$ t \ sim s s^4f^{3/2} $。
Modeling foraging via basic models is a problem that has been recently investigated from several points of view. However, understanding the effect of the spatial distribution of food on the lifetime of a forager has not been achieved yet. We explore here how the distribution of food in space affects the forager's lifetime in several different scenarios. We analyze a random forager and a smelling forager in both one and two dimensions. We first consider a general food distribution, and then analyze in detail specific distributions including constant distance between food, certain probability of existence of food at each site, and power-law distribution of distances between food. For a forager in one dimension without smell we find analytically the lifetime, and for a forager with smell we find the condition for immortality. In two dimensions we find based on analytical considerations that the lifetime ($T$) scales with the starving time ($S$) and food density ($f$) as $T\sim S^4f^{3/2}$.
