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Two lessons from fractals and chaos
Title
Two lessons from fractals and chaos.
Creator
Liebovitch, Larry S., Scheurle, Daniela
Date Issued
2000
PURL
http://purl.flvc.org/fau/165936
Subject Headings
Fractals, Nonlinear systems, Mathematical models, Chaos, Chaotic behavior in systems, Biomathematics
Format
Document (PDF)
Nonlinearity and entrepreneurship
Title
Nonlinearity and entrepreneurship.
Creator
Pflaum, Blaine., Harriet L. Wilkes Honors College
Abstract/Description
Entrepreneurship occupies a curious place in economic theory. On one hand, the importance of entrepreneurship is widely recognized, particularly as it pertains to economic growth. However, the entrepreneur lacks a broadly accepted economic theory, and suffers from a dearth of literature on the subject. We believe that this is due to economics' heavy reliance on linear mathematical theory. In this thesis, we use nonlinear mathematics to construct a model of the entrepreneur that captures the...
Show moreEntrepreneurship occupies a curious place in economic theory. On one hand, the importance of entrepreneurship is widely recognized, particularly as it pertains to economic growth. However, the entrepreneur lacks a broadly accepted economic theory, and suffers from a dearth of literature on the subject. We believe that this is due to economics' heavy reliance on linear mathematical theory. In this thesis, we use nonlinear mathematics to construct a model of the entrepreneur that captures the sudden destabilization of a steady state, the unpredictability of a creative action, the possibility of entrepreneurial failure, and sensitivity to small changes in environment.
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Date Issued
2010
PURL
http://purl.flvc.org/FAU/3335458
Subject Headings
Economics, Mathematical, Nonlinear theories, Entrepreneurship, Mathematical models, New business enterprises, Econometric models, Statics and dynamics (Social sciences)
Format
Document (PDF)
Modeling simple epidemics
Title
Modeling simple epidemics.
Creator
Segovia, Linda., Harriet L. Wilkes Honors College
Abstract/Description
Epidemic models help us predict the outcome of an epidemic. I will discuss and compare two simple epidemic models: a deterministic model implemented by a simple differential equation, and a stochastic model, which is more realistic, but harder to analyze. In both models we assume, for simplicity, that each individual goes through only two stages: healthy (susceptible) and sick (infective). Such models, called SI epidemic models, describe infections with no immunity. We will show that, when...
Show moreEpidemic models help us predict the outcome of an epidemic. I will discuss and compare two simple epidemic models: a deterministic model implemented by a simple differential equation, and a stochastic model, which is more realistic, but harder to analyze. In both models we assume, for simplicity, that each individual goes through only two stages: healthy (susceptible) and sick (infective). Such models, called SI epidemic models, describe infections with no immunity. We will show that, when the population gets large, the more realistic stochastic model approaches the simple deterministic model on the average, which will allow us to see that the deterministic model is used for a good reason.
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Date Issued
2007
PURL
http://purl.flvc.org/FAU/40972
Subject Headings
Biomathematics, Medicine, Mathematics, Population biology, Mathematics, Epidemiology, Mathematical models
Format
Document (PDF)
Mathematical modeling of plankton patchiness
Title
Mathematical modeling of plankton patchiness.
Creator
Ather, Simantha S., Noonburg, Erik G., Graduate College
Date Issued
2011-04-08
PURL
http://purl.flvc.org/fcla/dt/3164458
Subject Headings
Marine plankton, Marine zooplankton, Mathematical models
Format
Document (PDF)