Literature DB >> 10945647

A simple SIS epidemic model with a backward bifurcation.

P van den Driessche1, J Watmough.   

Abstract

It is shown that an SIS epidemic model with a non-constant contact rate may have multiple stable equilibria, a backward bifurcation and hysteresis. The consequences for disease control are discussed. The model is based on a Volterra integral equation and allows for a distributed infective period. The analysis includes both local and global stability of equilibria.

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Year:  2000        PMID: 10945647     DOI: 10.1007/s002850000032

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


  28 in total

1.  Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence.

Authors:  M G M Gomes; A Margheri; G F Medley; C Rebelo
Journal:  J Math Biol       Date:  2005-06-06       Impact factor: 2.259

2.  The minimum effort required to eradicate infections in models with backward bifurcation.

Authors:  Muntaser Safan; Hans Heesterbeek; Klaus Dietz
Journal:  J Math Biol       Date:  2006-08-05       Impact factor: 2.259

3.  Disease-induced mortality in density-dependent discrete-time S-I-S epidemic models.

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Journal:  J Math Biol       Date:  2008-07-15       Impact factor: 2.259

4.  Vaccination based control of infections in SIRS models with reinfection: special reference to pertussis.

Authors:  Muntaser Safan; Mirjam Kretzschmar; Karl P Hadeler
Journal:  J Math Biol       Date:  2012-09-05       Impact factor: 2.259

5.  Disease elimination and re-emergence in differential-equation models.

Authors:  Scott Greenhalgh; Alison P Galvani; Jan Medlock
Journal:  J Theor Biol       Date:  2015-10-22       Impact factor: 2.691

6.  The effect of sexual transmission on Zika virus dynamics.

Authors:  C M Saad-Roy; Junling Ma; P van den Driessche
Journal:  J Math Biol       Date:  2018-04-25       Impact factor: 2.259

7.  Localized outbreaks in an S-I-R model with diffusion.

Authors:  Chunyi Gai; David Iron; Theodore Kolokolnikov
Journal:  J Math Biol       Date:  2020-01-16       Impact factor: 2.259

8.  Games of age-dependent prevention of chronic infections by social distancing.

Authors:  Timothy C Reluga; Jing Li
Journal:  J Math Biol       Date:  2012-05-19       Impact factor: 2.259

9.  A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness.

Authors:  Yun Kang; Carlos Castillo-Chavez
Journal:  Discrete Continuous Dyn Syst Ser B       Date:  2014-01       Impact factor: 1.327

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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