Application of Epidemic Models To Phase Transitions
No Thumbnail Available
Date
2012
Authors
Bilge, Ayşe Hümeyra
Pekcan, Önder
Gürol, M. V.
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
The Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) models describe the spread of epidemics in a society. In the typical case, the ratio of the susceptible individuals fall from a value S-0 close to 1 to a final value S-f, while the ratio of recovered individuals rise from 0 to R-f = 1 - S-f. The sharp passage from the level zero to the level R-f allows also the modeling of phase transitions by the number of "recovered" individuals R(t) of the SIR or SEIR model. In this article, we model the sol-gel transition for polyacrylamide-sodium alginate (SA) composite with different concentrations of SA as SIR and SEIR dynamical systems by solving the corresponding differential equations numerically and we show that the phase transitions of "classical" and "percolation" types are represented, respectively, by the SEIR and SIR models.
Description
Keywords
Epidemic models, Dynamical systems, SIR model, SEIR model, Percolation model, Sol-gel transition
Turkish CoHE Thesis Center URL
Fields of Science
Citation
10
WoS Q
Scopus Q
Source
Volume
85
Issue
11
Start Page
1009
End Page
1017