Literature DB >> 712253

Thresholds and travelling waves for the geographical spread of infection.

O Diekmann.   

Abstract

A nonlinear integral equation of mixed Volterra--Fredholm type describing the spatio-temporal development of an epidemic is derived and analysed. Particular attention is paid to the hair-trigger effect and to the travelling wave problem.

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Year:  1978        PMID: 712253     DOI: 10.1007/bf02450783

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  1 in total

1.  The epidemic in a closed population with all susceptibles equally vulnerable; some results for large susceptible populations and small initial infections.

Authors:  J A Metz
Journal:  Acta Biotheor       Date:  1978       Impact factor: 1.774

  1 in total
  21 in total

1.  Dynamics and selection of many-strain pathogens.

Authors:  Julia R Gog; Bryan T Grenfell
Journal:  Proc Natl Acad Sci U S A       Date:  2002-12-12       Impact factor: 11.205

2.  Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population.

Authors:  Arnaud Ducrot; Thomas Giletti
Journal:  J Math Biol       Date:  2013-07-25       Impact factor: 2.259

3.  Existence of traveling waves for integral recursions with nonmonotone growth functions.

Authors:  Bingtuan Li; Mark A Lewis; Hans F Weinberger
Journal:  J Math Biol       Date:  2008-09-12       Impact factor: 2.259

4.  Spreading speeds and traveling waves in competitive recursion systems.

Authors:  Guo Lin; Wan-Tong Li; Shigui Ruan
Journal:  J Math Biol       Date:  2010-02-26       Impact factor: 2.259

5.  Colonization of new habitats by earthworms.

Authors:  J C Y Marinissen; F van den Bosch
Journal:  Oecologia       Date:  1992-09       Impact factor: 3.225

6.  A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon.

Authors:  Frank Ball; Tom Britton; David Sirl
Journal:  J Math Biol       Date:  2012-11-16       Impact factor: 2.259

7.  In honour of Odo Diekmann on the occasion of his 65th birthday.

Authors:  Mats Gyllenberg
Journal:  J Math Biol       Date:  2013-03       Impact factor: 2.259

8.  Success, failure, and spreading speeds for invasions on spatial gradients.

Authors:  Bingtuan Li; William F Fagan; Kimberly I Meyer
Journal:  J Math Biol       Date:  2014-02-23       Impact factor: 2.259

9.  Nonreciprocity as a generic route to traveling states.

Authors:  Zhihong You; Aparna Baskaran; M Cristina Marchetti
Journal:  Proc Natl Acad Sci U S A       Date:  2020-08-04       Impact factor: 11.205

10.  Mathematical epidemiology is not an oxymoron.

Authors:  Fred Brauer
Journal:  BMC Public Health       Date:  2009-11-18       Impact factor: 3.295

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