A Model Analyzing Life Cycle of Periodical Cicadas
  This paper focuses on a mathematical model interpreting the prime number life cycle of periodical cicadas.Changed the viewpoint to predators rather than the prey,this model fits reality very well by utilizing some principles and assumption.With the definition of the predator income,natural selection from predators seems to be the main reason for such a long life cycle.Consequent solution of this model is exactly the fact of real nature. 
Shi Chen, Sheng Bao, Jian-Xiu Chen