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Theory and Modern Applications

Table 4 Sensitivity indices of \(\mathcal{R}_{0}\) to model parameters for model (3.2), evaluated at the baseline parameter values given in Table 3

From: Modeling the health impact of water and sanitation service deficits on waterborne disease transmission

Model parameters

Sensitivity indices \(\Upsilon ^{\mathcal{R}_{0}}_{p}\)

\(r_{1}\)

−1.5831

γ

−1.0000

\(\beta _{W}\)

0.9099

\(\alpha _{1}\)

0.7311

\(\alpha _{2}\)

0.7311

\(r_{2}\)

−0.2820

\(r_{3}\)

−0.2820

ψ

0.0987

\(\xi _{W}\)

−0.0987

\(\xi _{D}\)

−0.0987

\(\beta _{D}\)

0.0614

\(\beta _{I}\)

0.0286

μ

−4.4322 × 10−6