Dynamics of an age-of-infection cholera model

Fred Brauer, Zhisheng Shuai, P. Van Den Driessche

Research output: Contribution to journalArticle

50 Scopus citations

Abstract

A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.

Original languageEnglish (US)
Pages (from-to)1335-1349
Number of pages15
JournalMathematical Biosciences and Engineering
Volume10
Issue number5-6
DOIs
StatePublished - Oct 1 2013
Externally publishedYes

Keywords

  • Age-of-infection
  • Cholera model
  • Final size
  • Global stability
  • Lyapunov functional

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

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