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Volume 19,     Number 3,     Fall 2011

 

MODELING CHOLERA DYNAMICS WITH
CONTROLS
JIN WANG AND CHAIRAT MODNAK

Abstract. In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water sanitation. Equilibrium analysis is conducted in the case with constant controls for both epidemic and endemic dynamics. Optimal control theory is applied to seek cost-effective solution of multiple time-dependent intervention strategies against cholera outbreaks.

 

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