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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


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.
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Keywords copulation rate; cicada; eclosion period; peak period of copulations.

Citation: Yasumasa Saisho. Mathematical observations on the relation between eclosion periods and the copulation rate of cicadas. Mathematical Biosciences and Engineering, 2010, 7(2): 443-453. doi: 10.3934/mbe.2010.7.443


This article has been cited by

  • 1. Yasumasa Saisho, Dependence of mating rate on variance of eclosion time of cicadas (cicadidae), Mathematical Biosciences, 2018, 10.1016/j.mbs.2018.08.006
  • 2. Minoru Moriyama, Hideharu Numata, Ecophysiological responses to climate change in cicadas, Physiological Entomology, 2019, 10.1111/phen.12283
  • 3. Hoa Quynh Nguyen, Hortense Serret, Yoonhyuk Bae, Seongmin Ji, Soyeon Chae, Ye Inn Kim, Jeongjoo Ha, Yikweon Jang, Not all cicadas increase thermal tolerance in response to a temperature gradient in metropolitan Seoul, Scientific Reports, 2020, 10, 1, 10.1038/s41598-020-58276-0

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