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

2010, Volume 7, Issue 2: 443-453. doi: 10.3934/mbe.2010.7.443

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

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.
- copulation rate,
- cicada,
- eclosion period,
- peak period of copulations.
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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Abstract

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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