Literature DB >> 21656007

Persistence in seasonally forced epidemiological models.

Carlota Rebelo1, Alessandro Margheri, Nicolas Bacaër.   

Abstract

In this paper we address the persistence of a class of seasonally forced epidemiological models. We use an abstract theorem about persistence by Fonda. Five different examples of application are given.

Mesh：

Year:  2011        PMID： 21656007     DOI： 10.1007/s00285-011-0440-6

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


  14 in total

1.  Uniform persistence and permanence for non-autonomous semiflows in population biology.

Authors:  H R Thieme
Journal:  Math Biosci       Date:  2000-08       Impact factor: 2.144

2.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.

Authors:  P van den Driessche; James Watmough
Journal:  Math Biosci       Date:  2002 Nov-Dec       Impact factor: 2.144

3.  Genealogy with seasonality, the basic reproduction number, and the influenza pandemic.

Authors:  Nicolas Bacaër; El Hadi Ait Dads
Journal:  J Math Biol       Date:  2010-07-06       Impact factor: 2.259

4.  Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population.

Authors:  Nicolas Bacaër
Journal:  Bull Math Biol       Date:  2007-01-30       Impact factor: 1.758

5.  A tuberculosis model with seasonality.

Authors:  Luju Liu; Xiao-Qiang Zhao; Yicang Zhou
Journal:  Bull Math Biol       Date:  2010-01-09       Impact factor: 1.758

6.  Modeling the joint epidemics of TB and HIV in a South African township.

Authors:  Nicolas Bacaër; Rachid Ouifki; Carel Pretorius; Robin Wood; Brian Williams
Journal:  J Math Biol       Date:  2008-04-15       Impact factor: 2.259

7.  Asymptotic behavior in a deterministic epidemic model.

Authors:  H W Hethcote
Journal:  Bull Math Biol       Date:  1973 Nov-Dec       Impact factor: 1.758

8.  The epidemic threshold of vector-borne diseases with seasonality: the case of cutaneous leishmaniasis in Chichaoua, Morocco.

Authors:  Nicolas Bacaër; Souad Guernaoui
Journal:  J Math Biol       Date:  2006-07-05       Impact factor: 2.259

9.  Subharmonic bifurcation in an S-I-R epidemic model.

Authors:  H L Smith
Journal:  J Math Biol       Date:  1983       Impact factor: 2.259

10.  Hantavirus transmission in sylvan and peridomestic environments.

Authors:  Tomás Gedeon; Clara Bodelón; Amy Kuenzi
Journal:  Bull Math Biol       Date:  2009-10-10       Impact factor: 1.758
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  8 in total

1.  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

2.  Chaotic dynamics in the seasonally forced SIR epidemic model.

Authors:  Pablo G Barrientos; J Ángel Rodríguez; Alfonso Ruiz-Herrera
Journal:  J Math Biol       Date:  2017-04-22       Impact factor: 2.259

3.  On the probability of extinction in a periodic environment.

Authors:  Nicolas Bacaër; El Hadi Ait Dads
Journal:  J Math Biol       Date:  2012-11-10       Impact factor: 2.259

4.  Optimal vaccination strategies and rational behaviour in seasonal epidemics.

Authors:  Paulo Doutor; Paula Rodrigues; Maria do Céu Soares; Fabio A C C Chalub
Journal:  J Math Biol       Date:  2016-04-05       Impact factor: 2.259

5.  Uniform persistence in a prey-predator model with a diseased predator.

Authors:  Tobia Dondè
Journal:  J Math Biol       Date:  2019-11-22       Impact factor: 2.259

6.  Identifying transmission cycles at the human-animal interface: the role of animal reservoirs in maintaining gambiense human african trypanosomiasis.

Authors:  Sebastian Funk; Hiroshi Nishiura; Hans Heesterbeek; W John Edmunds; Francesco Checchi
Journal:  PLoS Comput Biol       Date:  2013-01-17       Impact factor: 4.475

7.  Global stability analysis of SEIR model with holling type II incidence function.

Authors:  Mohammad A Safi; Salisu M Garba
Journal:  Comput Math Methods Med       Date:  2012-10-10       Impact factor: 2.238

8.  Modelling cholera in periodic environments.

Authors:  Drew Posny; Jin Wang
Journal:  J Biol Dyn       Date:  2014       Impact factor: 2.179
  8 in total

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