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Synchronous Oscillatory Solutions in a Two Patch Predator-Prey Model

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Author: Becker, Matthew H.
Advisor: Shi, Junping
Committee Members: Shaw, Leah B.; Yu, Gexin; Vasiliu, Daniel
Issued Date: 7/13/2012
Subjects: Predator
Prey
Ecology
Moran
Synchrony
Synchronization
Correlation
Autocorrelation
Phase
URI: http://hdl.handle.net/10288/16704
Description: 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.
Degree: Bachelors of Science in Mathematics


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Attribution 3.0 United States Except where otherwise noted, this item's license is described as Attribution 3.0 United States