Research Article

Shigellosis Dynamics: Modelling the Effects of Treatment, Sanitation, and Education in the Presence of Carriers

Table 2

Parameters and their description.

ParameterDescriptionValueSource

Rate of recruitment of individuals into the susceptible class462 humans/year[19]
Transmission rate for infectious individuals/year[19]
Transmission rates for carriers0.6/year[19]
Effective transmission rate of Shigellosis due to environment to human interaction0.4465/year[17]
Incubation rate (rate at which exposed individuals, , progress to either class or )0.35/day[18]
Natural human mortality rate0.4465/yearAssumed
A fraction of exposed individuals, , who progress to class 0.9[18]
A fraction of carriers, , who recover naturally and progress to class 0.4Assumed
Rate of screening carriers0.56Assumed
Disease-induced death rate by 0.02/yearAssumed
Recovery rate of infectious humans0.14/day[16]
Recovery rate of carrier humans0.0286/day[18]
The environmental carrying capacity for Shigella bacteria in the food or water supply cells/mLAssumed
Half-saturation rate of Shigella bacteria that can cause a 50% chance of infection60 cells/mLAssumed
Bacteria shed rate into the water supply by infectious human80 cells/mL/day[20]
Bacteria shed rate into the water supply by carrier humans human70 cells/mL/day[20]
Maximum per capita growth rate of Shigella bacteria0.73/day[21]
Mortality rate of Shigella bacteria, including phage degradation0.83/dayAssumed
Waning rate of disease-induced immunity0.25/year[16]
Rate at which sanitation leads to death of Shigella bacteria/year[22]
Treatment rate for infectious individuals (I)0.4/yearAssumed
Education efficacy parameter0.6/year[21]