Research Article

A Multiscale Model for the World’s First Parasitic Disease Targeted for Eradication: Guinea Worm Disease

Table 3

Sensitivity indices of model reproduction number to parameters for model system (1), evaluated at the parameters values presented in Tables 46.

ParameterDescriptionSensitivity index with positive signSensitivity index with negative sign

Natural decay rate of copepods in the water environment−0.9991
Natural decay rate of copepods within human host−0.4853
Release rate of mature worms within human host−0.4853
Human birth rate+0.50013
Human infection rate+0.5
Fecundity rate of worm larvae in the environment+0.5
Natural decay rate of Guinea worm larvae−0.5
Larvae saturation constant−0.5
Fecundity rate of mature worm+0.5
Copepods birth rate+0.5
Copepods infection rate+0.5
Copepods saturated constant−0.5
Human recovery−0.4998
Natural decay rate of fertilized female worms−0.4639
Migration rate of fertilized female worms to surface of host’s skin+0.4639
Natural decay rate of worm eggs in the water environment−0.4545
Worm egg hatching rate+0.4545
Natural decay rate of mature worms within human host−0.25
Migration rate of mature worms to subcutaneous tissues+0.25
Dilution/degradation rate of gastric juice−0.0147
Supply rate of gastric juice from the source of the body+0.0147
Induced decay rate of copepods in the water environment−0.000894