Date Thesis Awarded


Access Type

Honors Thesis -- Access Restricted On-Campus Only

Degree Name

Bachelors of Science (BS)




Junping Shi

Committee Members

Olivier Coibion

Lawrence M. Leemis

Jianjun Paul Tian


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.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.


Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.

On-Campus Access Only