Weblog patterns and modeling human dynamics with decaying interest

Web log is the fourth network exchange way following Email, BBS and MSN. Most bloggers began to write blogs with great interest, over time their interest gradually achieves a balance. In order to describe the phenomenon that people’s interest in something gradually decays and achieves the balance, we first propose a model and give a rigorous analysis on it. This model describes interested in attenuation, and it reflects that people’s interest in something is getting more stable after a long period of time. Our analysis indicates that the arrival-time interval distribution of the model is a mixed distribution with exponential and power-law feature. Secondly, we collect blogs in ScienceNet.cn and present an empirical study of blog arrival-time interval distribution. These empirical results verify the model, providing evidence for a new class of phenomena in human dynamics. The empirical results agree with the analytical result well, obeying an approximately mixed form. In human dynamics there are other distributions, not just power-law distributions. These findings show the variety of human behavior dynamics.