A weighted evolving network model more approach to reality
  In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of weighted networks considering the connection of nodes with low strengths. Numerical simulations indicate that this network model yields three power-law distributions of the node degrees, node strengths and connection weights. Particularly, the droop-head and heavy-tail effects can be reflected in the first two ones by this new model. 
Chuan-Ji Fu, Qing Ou, Wen Chen, Bing-Hong Wang, Ying-Di Jin, Yong-Wei   Niu, and Tao Zhou