Journal article
Impact of Awareness Programs on Cholera Dynamics: Two Modeling Approaches
Bulletin of mathematical biology, Vol.79(9), pp.2109-2131
09/2017
Handle:
https://hdl.handle.net/2376/112575
PMID: 28748506
Abstract
We propose two differential equation-based models to investigate the impact of awareness programs on cholera dynamics. The first model represents the disease transmission rates as decreasing functions of the number of awareness programs, whereas the second model divides the susceptible individuals into two distinct classes depending on their awareness/unawareness of the risk of infection. We study the essential dynamical properties of each model, using both analytical and numerical approaches. We find that the two models, though closely related, exhibit significantly different dynamical behaviors. Namely, the first model follows regular threshold dynamics while rich dynamical behaviors such as backward bifurcation may arise from the second one. Our results highlight the importance of validating key modeling assumptions in the development and selection of mathematical models toward practical application.
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Details
- Title
- Impact of Awareness Programs on Cholera Dynamics: Two Modeling Approaches
- Creators
- Chayu Yang - Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USAXueying Wang - Department of Mathematics, Washington State University, Pullman, WA, 99164, USADaozhou Gao - Mathematics and Science College, Shanghai Normal University, Shanghai, 200234, China. dzgao@shnu.edu.cnJin Wang - Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA
- Publication Details
- Bulletin of mathematical biology, Vol.79(9), pp.2109-2131
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- United States
- Grant note
- 1412826 / National Science Foundation U01GM087728 / National Institute of General Medical Sciences 11601336 / National Natural Science Foundation of China 1557739 / National Science Foundation 317407 / Simons Foundation
- Identifiers
- 99900547565701842
- Language
- English
- Resource Type
- Journal article