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

• 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.
Mathematics Subject Classification: 65C20, 65C50.

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