Mathematical modelling for intra-specific brood-parasitism: Coexistence between parasite and non-parasite

Junji Maruyama, Hiromi Seno

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper, we consider an aspect of the intra-specific brood- parasitism with a mathematical modelling. As in case of moorhen Gallinula chloropus, the case dealt with in this paper in such that just a part of the whole population has the parasitizing behaviour against the individuals belonging to another part of non-parasite subpopulation that does not have such behaviour. Analysing the expected fitness gain from the brood- parasitism, we consider the condition in order that parasite individuals coexist with nonparasite ones within a population. From the mathematical modelling analysis, it is shown that the stable equilibrium frequency of parasite individuals within a population, if exists, depends on the difference among individuals in terms of the individual quality reflected to the survival probability of bred offsprings.

Original languageEnglish
Pages (from-to)315-338
Number of pages24
JournalMathematical Biosciences
Volume156
Issue number1-2
DOIs
Publication statusPublished - 1999 Mar 1
Externally publishedYes

Keywords

  • Brood-parasitism
  • Coexistence
  • Fitness
  • Mathematical modelling

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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