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Application of epidemic models to phase transitions
| Content Provider | Scilit |
|---|---|
| Author | Bilge, Ayse Humeyra Pekcan, Onder Gurol, M. V. |
| Copyright Year | 2012 |
| Description | 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. |
| Related Links | https://core.ac.uk/reader/51098788 |
| Ending Page | 1017 |
| Page Count | 9 |
| Starting Page | 1009 |
| ISSN | 01411594 |
| e-ISSN | 10290338 |
| DOI | 10.1080/01411594.2012.672648 |
| Journal | Phase Transitions |
| Issue Number | 11 |
| Volume Number | 85 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2012-04-18 |
| Access Restriction | Open |
| Subject Keyword | Biology Epidemic Models Dynamical Systems Sir Model Seir Model Percolation Model Sol–gel Transition |
| Content Type | Text |
| Resource Type | Article |
| Subject | Instrumentation Materials Science |
