# American Institute of Mathematical Sciences

2010, 7(2): 443-453. doi: 10.3934/mbe.2010.7.443

## Mathematical observations on the relation between eclosion periods and the copulation rate of cicadas

 1 Department of Applied Mathematics, Graduate School of Engineering, Hiroshima University, Kagamiyama 1-4-1, Higashi-hiroshima, 739-8527, Japan

Received  January 2009 Revised  November 2009 Published  April 2010

In many species of cicadas the peak of eclosion of males precedes that of females. In this paper, we construct a stochastic model and consider whether this sexual difference of eclosion periods works against mating or not. We also discuss the relation between the peak period of copulations and the development of population number by using this model.
Citation: Yasumasa Saisho. Mathematical observations on the relation between eclosion periods and the copulation rate of cicadas. Mathematical Biosciences & Engineering, 2010, 7 (2) : 443-453. doi: 10.3934/mbe.2010.7.443
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