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[PAST EVENT] Mathematics Colloquium/CSUMS Lecture: Jin Wang (Old Dominion University)
September 30, 2011
2pm - 3pm
Abstract:
Cholera is a severe water-borne infectious disease which remains a significant public health burden in developing countries. In this talk, we present several mathematical models based on systems of nonlinear differential equations, to explore the complex infection dynamics of cholera. Particularly, we discuss a recently developed model that explicitly incorporates both human-to-human and environment-to-human transmission pathways. We then perform an optimal control study to seek a cost-effective balance of different intervention methods, including vaccination, antibiotic treatment, and water sanitation. We validate the analytical predictions by numerical simulation and realistic case study.
Cholera is a severe water-borne infectious disease which remains a significant public health burden in developing countries. In this talk, we present several mathematical models based on systems of nonlinear differential equations, to explore the complex infection dynamics of cholera. Particularly, we discuss a recently developed model that explicitly incorporates both human-to-human and environment-to-human transmission pathways. We then perform an optimal control study to seek a cost-effective balance of different intervention methods, including vaccination, antibiotic treatment, and water sanitation. We validate the analytical predictions by numerical simulation and realistic case study.