Literature DB >> 11576561

Dispersal, disease and life-history evolution.

C Castillo-Chavez1, A Yakubu.   

Abstract

Discrete-time susceptible-infective-susceptible (S-I-S) disease transmission models can exhibit bistability (alternative stable equilibria) over a wide range of parameter values. We illustrate the richness generated by such 'simple' non-linear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. Dispersal between patches can have a profound impact on local patch disease dynamics. In fact, dispersal between patches may give rise to bistability in parameter regimes without bistability in single patch models.

Mesh:

Year:  2001        PMID: 11576561     DOI: 10.1016/s0025-5564(01)00065-7

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  9 in total

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

Authors:  John E Franke; Abdul-Aziz Yakubu
Journal:  J Math Biol       Date:  2008-07-15       Impact factor: 2.259

2.  Spatial patterns in a discrete-time SIS patch model.

Authors:  L J S Allen; Y Lou; A L Nevai
Journal:  J Math Biol       Date:  2008-06-12       Impact factor: 2.259

3.  Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment.

Authors:  Jing Li; Xingfu Zou
Journal:  J Math Biol       Date:  2009-07-01       Impact factor: 2.259

4.  Multiscale analysis of compartment models with dispersal.

Authors:  Yun Kang; Carlos Castillo-Chavez
Journal:  J Biol Dyn       Date:  2012-08-31       Impact factor: 2.179

5.  The impact of health status on dispersal behavior in banded mongooses (Mungos mungo).

Authors:  Bonnie M Fairbanks; Dana M Hawley; Kathleen A Alexander
Journal:  Ecohealth       Date:  2014-02-07       Impact factor: 3.184

6.  A discrete epidemic model for SARS transmission and control in China.

Authors:  Yicang Zhou; Zhien Ma; F Brauer
Journal:  Math Comput Model       Date:  2005-05-03

7.  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

8.  Invasion reproductive numbers for discrete-time models.

Authors:  Omomayowa Olawoyin; Christopher Kribs
Journal:  Infect Dis Model       Date:  2019-04-04

9.  Mathematical epidemiology is not an oxymoron.

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

  9 in total

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