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.
","abstract_html":"<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>","abstract_has_math":false,"creators":["Inozemtseva, Iuliia"],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (open access)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Martha Abell","Hua Wang","Yan Wu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-01-01T08:00:00Z","date_published":"2014-01-01T08:00:00Z","updated_at":"2026-07-24T02:28:00Z","subjects":["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"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/1139","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Martha Abell","Hua Wang","Yan Wu"]},{"key":"dc:creator","label":"Author","values":["Inozemtseva, Iuliia"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2014-07-03T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (open access)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["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"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/1139"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
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"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/1139"],"dc:subject":["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"],"dc:title":["Epistasis in Predator-Prey Relationships"],"thesis:degree_discipline":["Department of Mathematical Sciences"],"thesis:degree_level":["Thesis (open access)"],"thesis:degree_name":["Master of Science in Mathematics (M.S.)"]},"updated_at":"2026-07-24T02:28:00Z"}