Literature DB >> 12965026

A new method for estimating the effort required to control an infectious disease.

M G Roberts1, J A P Heesterbeek.   

Abstract

We propose a new threshold quantity for the analysis of the epidemiology of infectious diseases. The quantity is similar in concept to the familiar basic reproduction ratio, R0, but it singles out particular host types instead of providing a criterion that is uniform for all host types. Using this methodology we are able to identify the long-term effects of disease-control strategies for particular subgroups of the population, to estimate the level of control necessary when targeting control effort at a subset of host types, and to identify host types that constitute a reservoir of infection. These insights cannot be obtained by using R0 alone.

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Year:  2003        PMID: 12965026      PMCID: PMC1691377          DOI: 10.1098/rspb.2003.2339

Source DB:  PubMed          Journal:  Proc Biol Sci        ISSN: 0962-8452            Impact factor:   5.349


  19 in total

1.  The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions.

Authors:  N M Ferguson; C A Donnelly; R M Anderson
Journal:  Science       Date:  2001-04-12       Impact factor: 47.728

2.  Influence of vertical and mechanical transmission on the dynamics of dengue disease.

Authors:  L Esteva; C Vargas
Journal:  Math Biosci       Date:  2000-09       Impact factor: 2.144

Review 3.  The role of mathematical modelling in the control of the 2001 FMD epidemic in the UK.

Authors:  Rowland R Kao
Journal:  Trends Microbiol       Date:  2002-06       Impact factor: 17.079

4.  A brief history of R0 and a recipe for its calculation.

Authors:  J A P Heesterbeek
Journal:  Acta Biotheor       Date:  2002       Impact factor: 1.774

5.  On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

Authors:  O Diekmann; J A Heesterbeek; J A Metz
Journal:  J Math Biol       Date:  1990       Impact factor: 2.259

6.  Analysis of a dengue disease transmission model.

Authors:  L Esteva; C Vargas
Journal:  Math Biosci       Date:  1998-06-15       Impact factor: 2.144

7.  Competitive exclusion in a vector-host model for the dengue fever.

Authors:  Z Feng; J X Velasco-Hernández
Journal:  J Math Biol       Date:  1997-05       Impact factor: 2.259

8.  A model for Chagas disease involving transmission by vectors and blood transfusion.

Authors:  J X Velasco-Hernández
Journal:  Theor Popul Biol       Date:  1994-08       Impact factor: 1.570

9.  Metapopulation dynamics of bubonic plague.

Authors:  M J Keeling; C A Gilligan
Journal:  Nature       Date:  2000-10-19       Impact factor: 49.962

Review 10.  Erasing the world's slow stain: strategies to beat multidrug-resistant tuberculosis.

Authors:  Christopher Dye; Brian G Williams; Marcos A Espinal; Mario C Raviglione
Journal:  Science       Date:  2002-03-15       Impact factor: 47.728

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  63 in total

1.  On the definition and the computation of the type-reproduction number T for structured populations in heterogeneous environments.

Authors:  Hisashi Inaba
Journal:  J Math Biol       Date:  2012-03-14       Impact factor: 2.259

2.  On the biological interpretation of a definition for the parameter R₀ in periodic population models.

Authors:  Nicolas Bacaër; El Hadi Ait Dads
Journal:  J Math Biol       Date:  2011-10-11       Impact factor: 2.259

3.  A global sensitivity analysis for African sleeping sickness.

Authors:  Stephen Davis; Serap Aksoy; Alison Galvani
Journal:  Parasitology       Date:  2010-11-16       Impact factor: 3.234

4.  Transmission heterogeneity and autoinoculation in a multisite infection model of HPV.

Authors:  Andrew F Brouwer; Rafael Meza; Marisa C Eisenberg
Journal:  Math Biosci       Date:  2015-10-27       Impact factor: 2.144

5.  Estimating dengue type reproduction numbers for two provinces of Sri Lanka during the period 2013-14.

Authors:  Tridip Sardar; Sourav Kumar Sasmal; Joydev Chattopadhyay
Journal:  Virulence       Date:  2015-12-08       Impact factor: 5.882

6.  SIR DYNAMICS WITH ECONOMICALLY DRIVEN CONTACT RATES.

Authors:  Benjamin R Morin; Eli P Fenichel; Carlos Castillo-Chavez
Journal:  Nat Resour Model       Date:  2013-11       Impact factor: 1.182

Review 7.  Perspectives on the basic reproductive ratio.

Authors:  J M Heffernan; R J Smith; L M Wahl
Journal:  J R Soc Interface       Date:  2005-09-22       Impact factor: 4.118

8.  The pluses and minuses of R0.

Authors:  M G Roberts
Journal:  J R Soc Interface       Date:  2007-10-22       Impact factor: 4.118

9.  How generation intervals shape the relationship between growth rates and reproductive numbers.

Authors:  J Wallinga; M Lipsitch
Journal:  Proc Biol Sci       Date:  2007-02-22       Impact factor: 5.349

10.  Threshold parameters for a model of epidemic spread among households and workplaces.

Authors:  L Pellis; N M Ferguson; C Fraser
Journal:  J R Soc Interface       Date:  2009-02-25       Impact factor: 4.118

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