A mathematical model for the phase of sexual reproduction in monogonont rotifers

Angel Calsina, José M. Mazón, Manuel Serra

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Abstract

Recently, the optimal sex allocation in monogonont rotifers is studied in [1], and, as a closely related question, the relative frequencies of the relevant types of mictic females. The authors focus on the evolution of the age at which young mictic females lose their fertilization susceptibility and they address the threshold age of fertilization that maximizes resting egg production. Assuming that a stationary population is achieved, with stable age distribution, they obtain their results, without knowing the stationary population. Our aim is to study this problem in the framework of the theory of nonlinear age-dependent population dynamics developed by G. F. Webb in [13], which is more appropriate from the mathematical point of view and permits to us to obtain analytically the stationary population and consequently it is analytically shown that a threshold age of fertilization equal to the age of maturation is not an ESS, despite the fact that then the production of resting eggs is maximum, which has been obtained by simulation in [1]. © Springer-Verlag 2000.
Original languageEnglish
Pages (from-to)451-471
JournalJournal of Mathematical Biology
Volume40
Issue number5
DOIs
Publication statusPublished - 1 Jan 2000

Keywords

  • Evolutionarily Stable Strategy
  • Monogonont rotifers
  • Nonlinear age-dependent population
  • Sex ratio theory

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