Epistasis in Predator-Prey Relationships

Iuliia Inozemtseva, James P. Braselton

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Abstract

Epistasis is the interaction between two or more genes to control a single phenotype. We model epistasis of the prey in a two-locus two-allele problem in a basic predator-prey relationship. The resulting model allows us to examine both population sizes as well as genotypic and phenotypic frequencies. In the context of several numerical examples, we show that if epistasis results in an undesirable or desirable phenotype in the prey by making the particular genotype more or less susceptible to the predator or dangerous to the predator, elimination of undesirable phenotypes and then genotypes occurs.

Original languageAmerican English
JournalOpen Journal of Applied Sciences
Volume4
DOIs
StatePublished - Aug 8 2014

Disciplines

  • Education
  • Mathematics

Keywords

  • Epistasis
  • Hardy-Weinberg equation
  • Logistic equation
  • Predator-prey equations

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