Journal article
Disease dynamics in a coupled cholera model linking within-host and between-host interactions
Journal of biological dynamics, Vol.11(1), pp.238-262
03/17/2017
Handle:
https://hdl.handle.net/2376/114721
PMID: 27646159
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.
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Details
- Title
- Disease dynamics in a coupled cholera model linking within-host and between-host interactions
- Creators
- Xueying Wang - Department of Mathematics, Washington State UniversityJin Wang - Department of Mathematics, University of Tennessee at Chattanooga
- Publication Details
- Journal of biological dynamics, Vol.11(1), pp.238-262
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Taylor & Francis
- Grant note
- #317047 / Simons Foundation (10.13039/100000893) 1216936; 1412826; 1520672 / National Science Foundation (10.13039/100000001)
- Identifiers
- 99900548592901842
- Language
- English
- Resource Type
- Journal article