Literature DB >> 22897721

On the formulation of epidemic models (an appraisal of Kermack and McKendrick).

D Breda1, O Diekmann, W F de Graaf, A Pugliese, R Vermiglio.   

Abstract

The aim of this paper is to show that a large class of epidemic models, with both demography and non-permanent immunity incorporated in a rather general manner, can be mathematically formulated as a scalar renewal equation for the force of infection.

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Mesh：

Year:  2012        PMID： 22897721     DOI： 10.1080/17513758.2012.716454

Source DB:  PubMed          Journal:  J Biol Dyn        ISSN： 1751-3758            Impact factor:   2.179


  19 in total

1.  Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting.

Authors:  M V Barbarossa; G Röst
Journal:  J Math Biol       Date:  2015-04-02       Impact factor: 2.259

2.  Global stability properties of a class of renewal epidemic models.

Authors:  Michael T Meehan; Daniel G Cocks; Johannes Müller; Emma S McBryde
Journal:  J Math Biol       Date:  2019-02-09       Impact factor: 2.259

3.  Epidemic dynamics and host immune response: a nested approach.

Authors:  Alberto Gandolfi; Andrea Pugliese; Carmela Sinisgalli
Journal:  J Math Biol       Date:  2014-03-04       Impact factor: 2.259

4.  Back to the Roots: A Discrete Kermack-McKendrick Model Adapted to Covid-19.

Authors:  Matthias Kreck; Erhard Scholz
Journal:  Bull Math Biol       Date:  2022-02-17       Impact factor: 1.758

5.  Analysis of an epidemiological model structured by time-since-last-infection.

Authors:  Jorge A Alfaro-Murillo; Zhilan Feng; John W Glasser
Journal:  J Differ Equ       Date:  2019-11       Impact factor: 2.615

6.  The importance of the generation interval in investigating dynamics and control of new SARS-CoV-2 variants.

Authors:  Sang Woo Park; Benjamin M Bolker; Sebastian Funk; C Jessica E Metcalf; Joshua S Weitz; Bryan T Grenfell; Jonathan Dushoff
Journal:  J R Soc Interface       Date:  2022-06-15       Impact factor: 4.293

7.  A structured population model with diffusion in structure space.

Authors:  Andrea Pugliese; Fabio Milner
Journal:  J Math Biol       Date:  2018-05-09       Impact factor: 2.259

8.  The discrete-time Kermack-McKendrick model: A versatile and computationally attractive framework for modeling epidemics.

Authors:  Odo Diekmann; Hans G Othmer; Robert Planqué; Martin C J Bootsma
Journal:  Proc Natl Acad Sci U S A       Date:  2021-09-28       Impact factor: 11.205

Review 9.  Data-driven methods for present and future pandemics: Monitoring, modelling and managing.

Authors:  Teodoro Alamo; Daniel G Reina; Pablo Millán Gata; Victor M Preciado; Giulia Giordano
Journal:  Annu Rev Control       Date:  2021-06-29       Impact factor: 6.091

10.  A didactical note on the advantage of using two parameters in Hopf bifurcation studies.

Authors:  O Diekmann; K Korvasová
Journal:  J Biol Dyn       Date:  2013-01-17       Impact factor: 2.179
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