MODELING CHOLERA DYNAMICS WITH CONTROLS

20 PAGES (5467 WORDS) Mathematics Paper
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 san-
itation. Equilibrium analysis is conducted in the case with con-
stant controls for both epidemic and endemic dynamics. Opti-
mal control theory is applied to seek cost-effective solution of
multiple time-dependent intervention strategies against cholera
outbreaks.