Optimal Control Analysis of Treatment Strategies of the Dynamics of Cholera

Table 2

Description of parameters of the model, their values, units, and references (source).

Parameter	Symbol	Value	Unit	Source
Human recruitment rate		9.49		Estimated
Non-cholera human death rate		0.01177	day/1000	Calculated
Rate of ingesting Vibrio cholerae bacteria from contaminated food and water consumed by the human population		0.5		[11]
Rate of getting Vibrio cholerae bacteria through human-to-human interactions		0.03		[11]
Rate of recovery of hygiene conscious individuals		0.38		[11]
Hygiene consciousness of individuals		0.604		Estimated
Rate of Vibrio cholerae decrease		0.033		[12]
Rate at which infected individuals increase		10	Cells/ml/day	[13]
Vibrio cholerae bacteria in the environment
Rate of generating		0.073		[7]
Vibrio cholerae bacteria in the environment
Rate of freedom from Vibrio cholerae by the hygiene conscious individuals		0.65		Estimated
Concentration of cholera pathogen that yields 50% chance of individual developing cholera disease			Cells/ml	[14]
Progression of recovery of treated individuals to untreated Vibrio cholerae carriers		0.08		Estimated
Rate of interruption of treatment		0.2		[15]
Recovery rate of untreated Vibrio cholerae carriers		0.8		Estimated
Recovery of treated cholera patients		0.63		Estimated
Disease induced death rate for individuals in class		0.105		Estimated
Disease induced death rate for individuals in class		0.1		Estimated
Disease induced death rate for individuals in class				Estimated
Rate of movement of the infected class		0.24		Estimated
Rate of vaccine		0.3		[16]
Rate of waning out of the vaccine induced immunity		0.5		[16]
Rate at which the vaccine reduces infection		0.2		[16]
Cholera awareness programme		0.66		Estimated
Rate of exposure to infection		0.23		Estimated
The fraction		0.000599	Dimensionless	Calculated
A fraction of early infected individuals		0-1	Dimensionless	[15]