| Home > Publications database > Outbreaks of coinfections: The critical role of cooperativity |
| Journal Article | FZJ-2015-03415 |
; ; ;
2013
EDP Sciences
Les Ulis
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Please use a persistent id in citations: http://hdl.handle.net/2128/22866 doi:10.1209/0295-5075/104/50001
Abstract: Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type which explicitly incorporates the effect of cooperative coinfection. More precisely, each individual can get infected by two different diseases, and an individual already infected with one disease has an increased probability to get infected by the other. Depending on the amount of this increase, we prove different threshold scenarios. Apart from the standard continuous phase transition for single-disease outbreaks, we observe continuous transitions where both diseases must coexist, but also discontinuous transitions are observed, where a finite fraction of the population is already affected by both diseases at the threshold. All our results are obtained in a mean-field model using rate equations, but we argue that they should hold also in more general frameworks.
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