Journal article
Influence of human behavior on cholera dynamics
Mathematical biosciences, Vol.267, pp.41-52
09/2015
Handle:
https://hdl.handle.net/2376/112584
PMCID: PMC4537851
PMID: 26119824
Abstract
•Both ODE and PDE cholera models with the influence of human behavior are proposed.•Contact rates and shedding rate are decreasing functions of the number of infectives.•Threshold dynamics of the ODE model are established with respect to its R0.•The traveling wave speed and threshold dynamics of the PDE model are analyzed.•Health education campaign can help to improve cholera control programs.
This paper is devoted to studying the impact of human behavior on cholera infection. We start with a cholera ordinary differential equation (ODE) model that incorporates human behavior via modeling disease prevalence dependent contact rates for direct and indirect transmissions and infectious host shedding. Local and global dynamics of the model are analyzed with respect to the basic reproduction number. We then extend the ODE model to a reaction–convection–diffusion partial differential equation (PDE) model that accounts for the movement of both human hosts and bacteria. Particularly, we investigate the cholera spreading speed by analyzing the traveling wave solutions of the PDE model, and disease threshold dynamics by numerically evaluating the basic reproduction number of the PDE model. Our results show that human behavior can reduce (a) the endemic and epidemic levels, (b) cholera spreading speeds and (c) the risk of infection (characterized by the basic reproduction number).
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Details
- Title
- Influence of human behavior on cholera dynamics
- Creators
- Xueying Wang - Department of Mathematics, Washington State University, Pullman, WA 99164, United StatesDaozhou Gao - Francis I. Proctor Foundation, University of California, San Francisco, San Francisco, CA 94143, United StatesJin Wang - Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States
- Publication Details
- Mathematical biosciences, Vol.267, pp.41-52
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- Elsevier Inc
- Identifiers
- 99900547811201842
- Language
- English
- Resource Type
- Journal article