Title
Dynamics Of An Age-Of-Infection Cholera Model
Keywords
Age-of-infection; Cholera model; Final size; Global stability; Lyapunov functional
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.
Publication Date
10-1-2013
Publication Title
Mathematical Biosciences and Engineering
Volume
10
Issue
5-6
Number of Pages
1335-1349
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.3934/mbe.2013.10.1335
Copyright Status
Unknown
Socpus ID
84884495414 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84884495414
STARS Citation
Brauer, Fred; Shuai, Zhisheng; and Van Den Driessche, P., "Dynamics Of An Age-Of-Infection Cholera Model" (2013). Scopus Export 2010-2014. 6312.
https://stars.library.ucf.edu/scopus2010/6312