With the deepening of research on complex networks, many properties of complex networks are gradually studied, for example, the mean first-passage times, the average receive times and the trapping times. In this paper, we further study the average trapping time of the weighted directed treelike network constructed by an iterative way. Firstly, we introduce our model inspired by trade network, each edge [Formula: see text] in undirected network is replaced by two directed edges with weights [Formula: see text] and [Formula: see text]. Then, the trap located at central node, we calculate the weighted directed trapping time (WDTT) and the average weighted directed trapping time (AWDTT). Remarkably, the WDTT has different formulas for even generations and odd generations. Finally, we analyze different cases for weight factors of weighted directed treelike network.

中文翻译：

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加权有向树状网络的加权捕获时间

随着对复杂网络研究的深入，复杂网络的许多性质也逐渐被研究，例如平均首次通过次数、平均接收次数和捕获次数。在本文中，我们进一步研究了通过迭代方式构建的加权有向树状网络的平均捕获时间。首先，我们介绍受贸易网络启发的模型，无向网络中的每条边[公式：见文本]被两个有向边替换，权重为[公式：见文本]和[公式：见文本]。然后，对位于中心节点的陷井，计算加权定向陷井时间（WDTT）和平均加权定向陷井时间（AWDTT）。值得注意的是，WDTT 对于偶数代和奇数代有不同的公式。最后，