  A minimal model based on individual interactions is proposed to study the
non-Poisson statistical properties of human behavior: individuals in the system
interact with their neighbors, the probability of an individual acting
correlates to its activity, and all individuals involved in action will change
their activities randomly. The model creates rich non-Poisson spatial-temporal
properties in the activities of individuals, in agreement with the patterns of
human communication behaviors. Our findings provide insight into various human
activities, embracing a range of realistic social interacting systems,
particularly, intriguing bimodal phenomenons. This model bridges priority
queues and punctuated equilibrium, and our modeling and analysis is likely to
shed light on non-Poisson phenomena in many complex systems.
