Article thumbnail

Disease dynamics in a coupled cholera model linking within-host and between-host interactions

By Xueying Wang and Jin Wang

Abstract

A new modelling framework is proposed to study the within-host and between-host dynamics of cholera, a severe intestinal infection caused by the bacterium Vibrio cholerae. The within-host dynamics are characterized by the growth of highly infectious vibrios inside the human body. These vibrios shed from humans contribute to the environmental bacterial growth and the transmission of the disease among humans, providing a link from the within-host dynamics at the individual level to the between-host dynamics at the population and environmental level. A fast-slow analysis is conducted based on the two different time scales in our model. In particular, a bifurcation study is performed, and sufficient and necessary conditions are derived that lead to a backward bifurcation in cholera epidemics. Our result regarding the backward bifurcation highlights the challenges in the prevention and control of cholera

Topics: Cholera coupled models, within-host and between-host dynamics, fast-slow analysis, backward bifurcation, local and global stability, type reproduction number, Environmental sciences, GE1-350, Biology (General), QH301-705.5
Publisher: Taylor & Francis Group
Year: 2017
DOI identifier: 10.1080/17513758.2016.1231850
OAI identifier: oai:doaj.org/article:1a3c60d35e1c4f92ad17b635d012f124
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/toc/1751-3758 (external link)
  • http://dx.doi.org/10.1080/1751... (external link)
  • https://doaj.org/toc/1751-3766 (external link)
  • https://doaj.org/article/1a3c6... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.