Term of Award
Summer 2014
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
James Braselton
Committee Member 1
Martha Abell
Committee Member 2
Hua Wang
Committee Member 3
Yan Wu
Committee Member 3 Email
yan@georgiasouthern.edu
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.
OCLC Number
900159281
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1fi10pa/alma9916057875402950
Recommended Citation
Inozemtseva, Iuliia, "Epistasis in Predator-Prey Relationships" (2014). Electronic Theses and Dissertations. 1139.
https://digitalcommons.georgiasouthern.edu/etd/1139
Research Data and Supplementary Material
Yes
Included in
Biology Commons, Computational Biology Commons, Genetics Commons, Genomics Commons, Numerical Analysis and Scientific Computing Commons, Ordinary Differential Equations and Applied Dynamics Commons, Other Animal Sciences Commons, Other Mathematics Commons, Other Physical Sciences and Mathematics Commons, Population Biology Commons
