Epistasis in Predator-Prey Relationships

<p>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.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2014

Author dc:creator

• Inozemtseva, Iuliia

Contributors dc:contributor

• Martha Abell
• Hua Wang
• Yan Wu

• ETD
• Predator-prey model
• two-locus two-allele model
• genetic mutations
• Hardy-Weinberg equations
• Bombay Phenotype
• proportion of gametes
• equilibrium points
• stabilization
• poisonous prey
• population size
• Biology
• Computational Biology
• Genetics
• Genomics
• Numerical Analysis and Scientific Computing
• Ordinary Differential Equations and Applied Dynamics
• Other Animal Sciences
• Other Mathematics
• Other Physical Sciences and Mathematics
• Population Biology

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/1139

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-2194