Group chase and escape model with chasers’ interaction
Group chase and escape model with chasers’ interaction
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DOI：
10.1016/j.physa.2015.12.023
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发表时间：
2016-04
影响因子：
3.3
通讯作者：
Takuya Saito;Tomomichi Nakamura;T. Ohira
中科院分区：
文献类型：
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作者：
Takuya Saito;Tomomichi Nakamura;T. Ohira
群体追逐与逃跑是研究集体行为的一个新方向，融合了传统的追逐与逃跑数学问题，由 Kamimura 和 Ohira 在 2010 年提出。在他们的模型中，追逐者只识别逃跑者并追赶最近邻居逃跑者，而逃跑者只识别追逐者并逃离最近邻居追逐者。我们将基本移动规则称为最近对手交互（NOI）策略。在本文中，我们在模型中引入了一种新策略。这是一种追逐者彼此距离不太近的本地交互，我们称之为追逐者本地交互（CLI）策略。两种策略的比较结果表明，当追赶者数量相对于逃亡者数量较少时，CLI策略的捕获时间比NOI策略的捕获时间短得多。另一方面，当追赶者的数量大于逃亡者的数量时，CLI策略的这种优势就不会显现出来。此外，我们发现，虽然当我们应用 NOI 策略时，追逐者形成簇（追逐者的空间聚合），但当我们应用 CLI 策略时，簇出现较少。
Group chase and escape is a new direction of studying collective behaviors merged with the traditional mathematical problems of chases and escapes proposed by Kamimura and Ohira in 2010. In their model, the chasers recognize only the escapees and pursue the nearest neighbor escapee, and the escapees recognize only the chasers and flee from the nearest neighbor chaser. We call the basic moving rule the nearest opponent interaction (NOI) strategy. In this paper we introduce a new strategy in the model. It is a local interaction that the chasers do not get too close each other, where we call the chasers’ local interaction (CLI) strategy. The result of comparisons of the two strategies shows that when the number of the chasers is relatively small compared to the number of the escapees, the trapping time by the CLI strategy is much shorter than that by the NOI strategy. On the other hand, when the number of the chasers is larger than that of the escapees, this advantage of the CLI strategy does not appear. Also, we find that although chasers form clusters (spatial aggregates of chasers) when we apply the NOI strategy, the clusters appear less when we apply the CLI strategy.