Based on data statistics of online comments on Blog posts, this paper first presented an empirical study of a comment arrival-time interval distribution. Found that people interested in some subjects gradually disappear and the interval distribution was a power law. According to this feature, this paper proposed a model with gradually decaying interest. Gave a rigorous analysis on the model by non-homogeneous Poisson processes and obtained an analytic expression of the interval distribution. The analysis indicates that the time interval between two consecutive events follows the power-law distribution with a tunable exponent, which can be controlled by the model parameters and is in interval ( 1, + ∞ ). The analytical result agrees with the empirical results well, obeying an approximately power-law form. The model provides a theoretical basis for human behaviour dynamics of comments on Blog posts.%基于网上博客评论的数据统计,给出评论时间间隔分布的实证研究,发现人们对于某个话题的兴趣渐消失,评论的时间间隔服从幂律分布.根据这个特征,提出了一个兴趣逐渐消失的人类行为动力学模型,用齐次Poisson过程对模型进行严格分析,获得事件的时间间隔分布的解析表达式.结果表明,该模型的时间间服从幂律分布,幂律指数由两个参数调节,其范围在区间(1,∞)中,理论预测和实证结果相吻合.
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