Term of Award

Spring 1998

Degree Name

Master of Science in Applied Mathematics

Document Type and Release Option

Thesis (restricted to Georgia Southern)


Department of Mathematics

Committee Chair

Eric T. Funasaki

Committee Member 1

John W. Davenport

Committee Member 2

Lila F. Roberts


The objective of this project has been to analytically and numerically study the dynamical behavior of a number of different predator-prey and competition systems in a periodically pulsed chemostat. In particular, we wanted to determine whether systems with periodic pulsing could produce dynamical behavior that is not seen in systems without periodic pulsing.

First, three previously studied models are presented: a constantly reinforced predator-prey model, a periodically pulsed predator-prey model, and a constantly reinforced competition model. Second, a periodically pulsed competition model and a doubly pulsed predator-prey model are analyzed both analytically and numerically. Finally a doubly pulsed competition model is examined numerically. The results of these models are then compared with the results of the previous models to see what similarities and differences there are between these models.


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