Warning: Undefined array key "mm" in /www/wwwroot/www.ai-bt.com/si.php on line 10 Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /www/wwwroot/www.ai-bt.com/si.php on line 10 Age-of-infection and the final size relation.

Literature DB >> 19278275

Age-of-infection and the final size relation.

Abstract

We establish the final size equation for a general age-of-infection epidemic model in a new simpler form if there are no disease deaths (total population size remains constant). If there are disease deaths, the final size relation is an inequality but we obtain an estimate for the final epidemic size.

Entities: Disease

Mesh：

Year: 2008 PMID： 19278275 DOI： 10.3934/mbe.2008.5.681

Source DB: PubMed Journal: Math Biosci Eng ISSN： 1547-1063 Impact factor: 2.080

Keyword Cloud
Cited

14 in total

1. Population-level effects of suppressing fever.

Authors: David J D Earn; Paul W Andrews; Benjamin M Bolker
Journal: Proc Biol Sci Date: 2014-01-22 Impact factor: 5.349

2. Modelling the initial phase of an epidemic using incidence and infection network data: 2009 H1N1 pandemic in Israel as a case study.

Authors: G Katriel; R Yaari; A Huppert; U Roll; L Stone
Journal: J R Soc Interface Date: 2011-01-19 Impact factor: 4.118

9. Did modeling overestimate the transmission potential of pandemic (H1N1-2009)? Sample size estimation for post-epidemic seroepidemiological studies.

Authors: Hiroshi Nishiura; Gerardo Chowell; Carlos Castillo-Chavez
Journal: PLoS One Date: 2011-03-24 Impact factor: 3.240

Review 10. Mathematical epidemiology: Past, present, and future.

Authors: Fred Brauer
Journal: Infect Dis Model Date: 2017-02-04

Age-of-infection and the final size relation.

1. Population-level effects of suppressing fever.

2. Modelling the initial phase of an epidemic using incidence and infection network data: 2009 H1N1 pandemic in Israel as a case study.

3. The size of epidemics in populations with heterogeneous susceptibility.

4. Pairwise approximation for SIR-type network epidemics with non-Markovian recovery.

5. A note on the derivation of epidemic final sizes.

6. Discrete epidemic models with arbitrary stage distributions and applications to disease control.

7. Effect of Human Mobility on the Spatial Spread of Airborne Diseases: An Epidemic Model with Indirect Transmission.

8. A simple model for behaviour change in epidemics.

9. Did modeling overestimate the transmission potential of pandemic (H1N1-2009)? Sample size estimation for post-epidemic seroepidemiological studies.

Review 10. Mathematical epidemiology: Past, present, and future.