Modeling cholera dynamics
Jin Wang (Department of Mathematics and Statistics, Old Dominion University)
(October 22, 2013 10:20 AM - 11:15 AM)
Cholera is a severe water-borne disease that remains a global threat to public health. In this talk, we review some recent studies on cholera dynamics from the viewpoint of mathematical epidemiology. We then present a generalized cholera model which explicitly incorporates both human-to-human and environment-to-human transmission pathways, and which unifies several existing deterministic models. We conduct a stability analysis on the local and global dynamics, and demonstrate the application of this framework with realistic case study. Some results from optimal control simulation are also discussed. In addition, We extend the model to periodic environments to investigate cholera transmission with seasonal variation.