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Species Invasion in a Network Population Model

Yan, Ryan Clive
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.
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2016-04-01
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Undergraduate Honors Theses
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Speciesinvasionnetworkmodel_rcyan.pdf
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Shaw, Leah B.
Day, Sarah
LaMar, M. Drew
Dalgleish, Harmony J.
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Interdisciplinary Studies
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https://scholarworks.wm.edu/handle/internal/12637
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