Epidemics on networks with large initial conditions or changing structure.
In this paper we extend previous work deriving dynamic equations governing infectious disease spread on networks. The previous work has implicitly assumed that the disease is initialized by an infinitesimally small proportion of the population. Our modifications allow us to account for an arbitraril...
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Public Library of Science (PLoS)
2014-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4086930?pdf=render |
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doaj-4b0d0bded5a6477e9877097f1f50fa272020-11-24T20:50:06ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-0197e10142110.1371/journal.pone.0101421Epidemics on networks with large initial conditions or changing structure.Joel C MillerIn this paper we extend previous work deriving dynamic equations governing infectious disease spread on networks. The previous work has implicitly assumed that the disease is initialized by an infinitesimally small proportion of the population. Our modifications allow us to account for an arbitrarily large initial proportion infected. This helps resolve an apparent paradox in earlier work whereby the number of susceptible individuals could increase if too many individuals were initially infected. It also helps explain an apparent small deviation that has been observed between simulation and theory. An advantage of this modification is that it allows us to account for changes in the structure or behavior of the population during the epidemic.http://europepmc.org/articles/PMC4086930?pdf=render |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Joel C Miller |
| spellingShingle |
Joel C Miller Epidemics on networks with large initial conditions or changing structure. PLoS ONE |
| author_facet |
Joel C Miller |
| author_sort |
Joel C Miller |
| title |
Epidemics on networks with large initial conditions or changing structure. |
| title_short |
Epidemics on networks with large initial conditions or changing structure. |
| title_full |
Epidemics on networks with large initial conditions or changing structure. |
| title_fullStr |
Epidemics on networks with large initial conditions or changing structure. |
| title_full_unstemmed |
Epidemics on networks with large initial conditions or changing structure. |
| title_sort |
epidemics on networks with large initial conditions or changing structure. |
| publisher |
Public Library of Science (PLoS) |
| series |
PLoS ONE |
| issn |
1932-6203 |
| publishDate |
2014-01-01 |
| description |
In this paper we extend previous work deriving dynamic equations governing infectious disease spread on networks. The previous work has implicitly assumed that the disease is initialized by an infinitesimally small proportion of the population. Our modifications allow us to account for an arbitrarily large initial proportion infected. This helps resolve an apparent paradox in earlier work whereby the number of susceptible individuals could increase if too many individuals were initially infected. It also helps explain an apparent small deviation that has been observed between simulation and theory. An advantage of this modification is that it allows us to account for changes in the structure or behavior of the population during the epidemic. |
| url |
http://europepmc.org/articles/PMC4086930?pdf=render |
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AT joelcmiller epidemicsonnetworkswithlargeinitialconditionsorchangingstructure |
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