Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Exact solutions and analysis of an SIR variant with constant-time recovery

Abstract : We investigate a variant of the SIR epidemiological model in which the recovery of infected individuals takes place in constant time rather than following an exponential distribution. This model is described by a delay-differential equation: we show that the equations in question admit an exact solution in closed form (given by rational functions of an exponential of time). Using this, we investigate the qualitative differences between this modified model and classical SIR and show that, for the same reproduction number, contagiousness and expected recovery time, the constant-time recovery variant entails a sharper, more pronounced, epidemiological peak than the classical variant (exponential-process recovery), while still having the same final attack rate.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [1 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02537265
Contributor : David Madore <>
Submitted on : Wednesday, April 8, 2020 - 5:31:29 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:43 PM

Files

20200403-constant-time-recover...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02537265, version 1

Citation

David Madore. Exact solutions and analysis of an SIR variant with constant-time recovery. 2020. ⟨hal-02537265⟩

Share

Metrics

Record views

1637

Files downloads

926