Date of Award
Master of Science (MS)
College of Science and Mathematics
Applied Mathematics and Statistics
Thesis Sponsor/Dissertation Chair/Project Chair
Food chains (Ecology)--Mathematical models, Stochastic models
Studies on both model-based and empirical food webs have shown that per- turbations to an ecological community can cause a species to go extinct, often resulting in the loss of additional species in a cascade of secondary extinctions. These eects can seriously debilitate a food web and threaten the existence of an ecosystem. Here, we consider niche model-based food webs with internal noise and investigate the eects of a control on a secondary extinction cas- cade triggered by a noise-induced extinction. We show that the forced removal of a nonbasal species immediately after a primary extinction can extend the mean time to extinction of individual nonbasal species as well as that of the complete extinction cascade. An analysis of numerical and statistical results illustrates the eectiveness of a control in delaying the mean time to extinction for endangered species in stochastic food webs.
Fernandez, Dunia M., "Control of Secondary Extinctions in Stochastic Food Webs" (2020). Theses, Dissertations and Culminating Projects. 480.