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Modeling simple epidemics

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Date Issued:
2007
Summary:
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 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.
Title: Modeling simple epidemics.
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Name(s): Segovia, Linda.
Harriet L. Wilkes Honors College
Type of Resource: text
Genre: Thesis
Issuance: multipart monograph
Date Issued: 2007
Publisher: Florida Atlantic University
Physical Form: electronic
electronic resource
Extent: [vi], 33 leaves : ill.
Language(s): English
Summary: 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 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.
Identifier: 309232945 (oclc), 40972 (digitool), FADT40972 (IID), fau:1465 (fedora)
Note(s): by Linda Segovia.
Leaves ii-vi numbered as iii-vii.
Thesis (B.A.)--Florida Atlantic University, Honors College, 2007.
Bibliography: leaf 31.
Electronic reproduction. Boca Raton, Fla., 2007. Mode of access: World Wide Web.
Subject(s): Biomathematics
Medicine -- Mathematics
Population biology -- Mathematics
Epidemiology -- Mathematical models
Held by: FBoU FAUER
Persistent Link to This Record: http://purl.flvc.org/FAU/40972
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Host Institution: FAU

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