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Author, Editor(s)

Author(s):

Brown, Christopher
El Kahoui, M'hammed
Novotni, Dominik
Weber, Andreas
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Not MPG Author(s):

Brown, Christopher
Novotni, Dominik
Weber, Andreas

BibTeX cite key*:

ElKahoui2005d

Title

Title*:

Algorithmic methods for investigating equilibria in epidemic modeling


threshold-conditions.pdf (243.74 KB)

Journal

Journal Title*:

Journal of Symbolic Computation
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for the article:

http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WM7-4M04DYJ-1-1&_cdi=6927&_user=43521&_orig=search&_coverDate=11%2F30%2F2006&_sk=999589988&view=c&wchp=dGLbVtb-zSkWA&md5=75f2e0e37798b2b88451a5832a97c417&ie=/sdarticle.pdf
Language:

English

Publisher

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Name:


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Address:


ISSN:


Vol, No, pp, Date

Volume*:

41
Number:

11

Publishing Date:

2006

Pages*:

1157-1173
Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:

10.1016/j.jsc.2005.09.011

Note, Abstract, ©

Note:


(LaTeX) Abstract:


The calculation of threshold conditions for models of infectious diseases is of central importance for developing vaccination policies. These models are often coupled systems of ordinary differential equations, in which case the computation of threshold conditions can be reduced to the question of stability of the disease-free equilibrium. This paper shows how computing threshold conditions for such models can be done fully algorithmically using quantifier elimination for real closed fields and related simplification methods for quantifier-free formulas. Using efficient quantifier elimination techniques for special cases that have been developed by Weispfenning and others, we can also compute whether there are ranges of parameters for which sub-threshold endemic equilibria exist.

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Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

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BibTeX Entry:

@ARTICLE{ElKahoui2005d,
AUTHOR = {Brown, Christopher and El Kahoui, M'hammed and Novotni, Dominik and Weber, Andreas},
 TITLE = {Algorithmic methods for investigating equilibria in epidemic modeling},
 JOURNAL = {Journal of Symbolic Computation},
 YEAR = {2006},
 NUMBER = {11},
 VOLUME = {41},
 PAGES = {1157--1173},
 DOI = {10.1016/j.jsc.2005.09.011},
}

Entry last modified by Uwe Brahm, 01/20/2009
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Editor(s)
M'hammed El Kahoui		Created
02/25/2005 03:56:21 PM
Revisions
7.
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4.
3.		Editor(s)
Uwe Brahm
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel		Edit Dates
01/20/2009 07:12:03 PM
07.02.2007 11:05:34
13.06.2006 10:39:31
12.06.2006 13:26:19
12.06.2006 13:26:08
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