Date Thesis Awarded

4-2016

Access Type

Honors Thesis -- Access Restricted On-Campus Only

Degree Name

Bachelors of Science (BS)

Department

Interdisciplinary Studies

Advisor

Leah B. Shaw

Committee Members

Sarah Day

M. Drew LaMar

Harmony J. Dalgleish

Abstract

The introduction and spread of invasive species is increasingly driven by the expansion of human-made transportation routes. We formulate a network model of biotic invasion incorporating logistic growth and dispersal along a network, and present analyses of the model. We introduce small world networks and use them to investigate the role of network properties and long-distance dispersal on spread dynamics. Lastly we present comparisons between the stochastic and deterministic models to illustrate the effects of stochasticity on invasive species spread dynamics.

Recommended Citation

Yan, Ryan Clive, "Species Invasion in a Network Population Model" (2016). Undergraduate Honors Theses. William & Mary. Paper 881.
https://scholarworks.wm.edu/honorstheses/881