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

  • Received: 01 January 2009 Accepted: 29 June 2018 Published: 01 April 2010
  • MSC : 65C20, 65C50.

  • 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 periodsand the copulation rate of cicadas[J]. Mathematical Biosciences and Engineering, 2010, 7(2): 443-453. doi: 10.3934/mbe.2010.7.443

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  • 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.


  • This article has been cited by:

    1. Yasumasa Saisho, Dependence of mating rate on variance of eclosion time of cicadas (cicadidae), 2018, 305, 00255564, 55, 10.1016/j.mbs.2018.08.006
    2. 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, 2020, 10, 2045-2322, 10.1038/s41598-020-58276-0
    3. Minoru Moriyama, Hideharu Numata, Ecophysiological responses to climate change in cicadas, 2019, 44, 0307-6962, 65, 10.1111/phen.12283
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  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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