Date Thesis Awarded
5-2010
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Junping Shi
Committee Members
Olivier Coibion
Lawrence M. Leemis
Jianjun Paul Tian
Abstract
A two-patch Rosenzweig-MacArthur system describing predator-prey interaction in a spatially inhomogeneous environment is investigated. The global stability of equilibrium solutions for the homogeneous case is proved using Lyapunov functional, and stability analysis for the coexistence equilibrium is also given. Numerical bifurcation diagrams and numerical simulations of the limit cycle dynamics for the inhomogeneous case are obtained to compliment theoretical approach. Some of our results help to explain and clarify possible solutions to the Paradox of Enrichment in ecological studies.
Recommended Citation
Liu, Yuanyun, "The Dynamical Behavior of a Two Patch Predator-Prey Model" (2010). Undergraduate Honors Theses. William & Mary. Paper 682.
https://scholarworks.wm.edu/honorstheses/682
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.