Simatos, Florian
State space collapse for critical multistage epidemics.
(2015)
Advances in Applied Probability, 47 (3). 715-740. ISSN 0001-8678
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 315kB |
Official URL: https://doi.org/10.1239/aap/1444308879
Abstract
We study a multistage epidemic model which generalizes the SIR model and where infected individuals go through K ≥ 1 stages of the epidemic before being re- moved. An infected individual in stage k ∈ {1, . . . , K } may infect a susceptible individual, who directly goes to stage k of the epidemic; or it may go to the next stage k+1 of the epidemic. For this model, we identify the critical regime in which we establish diffusion approximations. Surprisingly, the limiting diffusion exhibits an unusual form of state space collapse which we analyze in detail.
Item Type: | Article |
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HAL Id: | hal-01888122 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | Other partners > Eindhoven University of Technology - TU/e (NETHERLANDS) |
Statistics: | download |
Deposited On: | 04 Oct 2018 15:24 |
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