Date of Last Revision
2023-05-02 19:05:11
Major
Applied Mathematics - BS/MS
Degree Name
Bachelor of Science
Date of Expected Graduation
Spring 2016
Abstract
In combining two classes of models, we are able to analyze the dynamics of two species that compete for the same resources while fighting a disease. The native species is the disease host and the invasive species enters their habitat and encounters the disease for the first time. Their natural response is to evolve resistance to the disease, and this can assist in their invasion of the natives' habitat. We find conditions for coexistence of the two species, conditions under which an invasion would succeed and wipe out all native individuals, and conditions under which the invasion fails. We explore the timing of the invasion by causing the invasion to occur before the natives equilibrate with the disease.
Research Sponsor
Dr. J. Patrick Wilber
First Reader
Dr. Curtis Clemons
Second Reader
Dr. Kevin Kreider
Recommended Citation
Jacops, Eliza, "EFFECTS OF INVASION TIMING IN A ONE-DIMENSIONAL MODEL OF COMPETING SPECIES WITH AN INFECTIOUS DISEASE" (2016). Williams Honors College, Honors Research Projects. 354.
https://ideaexchange.uakron.edu/honors_research_projects/354
Included in
Dynamic Systems Commons, Partial Differential Equations Commons, Population Biology Commons