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Table 1 Symbols used in the model

From: Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir

Symbol

Description

State Variables

 

S

number of susceptibles

I

number of infected

B

concentration of toxigenic V. cholerae in water (cells/ml)

Parameters

 

H

total human population

n

Human birth and death rates (day-1)

a

rate of exposure to contaminated water (day-1)

K

concentration of V. cholerae in water that yields 50% chance of

 

catching cholera (cells/ml)

r

rate at which people recover from cholera (day-1)

nb

growth rate of V. cholerae in the aquatic environment (day-1)

mb

loss rate of V. cholerae in the aquatic environment (day-1)

e

contribution of each infected person to the population of V. cholerae

 

in the aquatic environment (cell/ml day-1 person-1)