论文标题
Lévy飞行觅食假设的效率功能
Efficiency functionals for the Lévy flight foraging hypothesis
论文作者
论文摘要
我们考虑通过分数热方程扩散的觅食者，并介绍了几种效率功能，其最佳性与演化方程的Lévy指数有关。 特定考虑了几种生物方案，例如靠近觅食者的目标，一个稀疏的环境，一个远离觅食者的目标和两个目标。 这些配置中每种配置的最佳策略在这里也可以在一些特殊的古典风味功能的帮助下进行明确分析，结果与莱维觅食假设的现有范式面临。 有趣的是，人们发现分叉现象，在这种分叉现象中，在最佳（但不可靠的）莱维觅食模式之间突然发生转换，而平方法类型的类型和不太理想（但更安全）的古典布朗运动策略。 此外，即使在布朗尼人都在悲观效率功能的情况下，也可以在布朗尼人的附近发现最佳觅食策略。
We consider a forager diffusing via a fractional heat equation and we introduce several efficiency functionals whose optimality is discussed in relation to the Lévy exponent of the evolution equation. Several biological scenarios, such as a target close to the forager, a sparse environment, a target located away from the forager and two targets are specifically taken into account. The optimal strategies of each of these configurations are here analyzed explicitly also with the aid of some special functions of classical flavor and the results are confronted with the existing paradigms of the Lévy foraging hypothesis. Interestingly, one discovers bifurcation phenomena in which a sudden switch occurs between an optimal (but somehow unreliable) Lévy foraging pattern of inverse square law type and a less ideal (but somehow more secure) classical Brownian motion strategy. Additionally, optimal foraging strategies can be detected in the vicinity of the Brownian one even in cases in which the Brownian one is pessimizing an efficiency functional.
