Date Thesis Awarded
7-2012
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Junping Shi
Committee Members
Leah B. Shaw
Gexin Yu
Daniel Vasiliu
Abstract
A coupled two-patch Rosenzweig-MacArthur system of predator-prey interaction is investigated. Synchronization is the process in which oscillations attain the same frequency based on their coupling. The Moran Effect, the name for the seemingly random changes seen in nature, has been attributed as a cause of synchrony, while scholars have studied other influences to ascertain causal relationships between any of them and a synchronous solution. We use a correlation function similar to Pearson's Correlation, one of the most well known correlation measures in statistical analysis, to measure the synchrony and consider what factors have greater influences upon a synchronous oscillatory solution.
Recommended Citation
Becker, Matthew H., "Synchronous Oscillatory Solutions in a Two Patch Predator-Prey Model" (2012). Undergraduate Honors Theses. William & Mary. Paper 494.
https://scholarworks.wm.edu/honorstheses/494
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.