Mathematical observations on the relation between eclosion periodsand  the copulation rate of cicadas

Yasumasa Saisho

doi:10.3934/mbe.2010.7.443

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

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

Yasumasa Saisho^1,

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

Received: December 31, 2008

Revised: October 31, 2009

Published: March 2010

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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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Mathematics Subject Classification: 65C20, 65C50.

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