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Spatio-temporal dynamics in the SEIRS epidemic model

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Date Issued:
1999
Summary:
The Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) spatial epidemic model is governed by non-linear equations with several parameters related to birth and death, contact rate, disease latency, infectious period, and recycle rate. Both continuum results and lattice results show the existing of disease persistence and critical density. The upper limit of birth and death rate is observed, power spectrum with 1/f profile is discussed. Some other models, as limiting cases of the SEIRS model, are also studied. Lower limit of birth and death rate for the models without recycle rate has also obtained. Finally two general rules governing epidemic models are summarized. Visualization is available on our web site http://www.cse.fau.edu/~lmei/simulation.html
Title: Spatio-temporal dynamics in the SEIRS epidemic model.
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Name(s): Mei, Lei
Florida Atlantic University, Degree Grantor
Wille, Luc T., Thesis Advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1999
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 109 p.
Language(s): English
Summary: The Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) spatial epidemic model is governed by non-linear equations with several parameters related to birth and death, contact rate, disease latency, infectious period, and recycle rate. Both continuum results and lattice results show the existing of disease persistence and critical density. The upper limit of birth and death rate is observed, power spectrum with 1/f profile is discussed. Some other models, as limiting cases of the SEIRS model, are also studied. Lower limit of birth and death rate for the models without recycle rate has also obtained. Finally two general rules governing epidemic models are summarized. Visualization is available on our web site http://www.cse.fau.edu/~lmei/simulation.html
Identifier: 9780599211810 (isbn), 15633 (digitool), FADT15633 (IID), fau:12390 (fedora)
Note(s): Thesis (M.S.)--Florida Atlantic University, 1999.
Subject(s): Epidemiology--Mathematical models
Demography
Epidemics--Computer simulation
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/15633
Sublocation: Digital Library
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.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.