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Theory and Modern Applications

Table 2 Sensitivity indices of parameters

From: Optimal control of visceral, cutaneous and post kala-azar leishmaniasis

Parameter

Value

Index

\(\epsilon _{1}\)

0.04

−0.00088880

c

0.22

0.4777

\(c_{2}\)

0.22

0.0047

\(k_{1}\)

0.0157871

0.000044262

\(k_{3}\)

0.011111

1.0530 × 10−12

\(k_{6}\)

0.0049259

5.3756 × 10−9

b

0.0714

0.4777

\(b_{2}\)

0.0714

0.0047

\(\mu _{v}\)

0.0714

−1.1667

ρ

0.5

0.00013175

\(\gamma _{2}\)

0.01

−0.0022

\(\gamma _{4}\)

0.008

2.9208 × 10−10

\(\Gamma _{r}\)

0.073

−0.4327

\(\delta _{2}\)

0.006

−0.000024642

\(\beta _{2}\)

0.0.01

6.5338 × 10−9

\(\alpha _{d}\)

0.00181

0.3818

\(\Gamma _{v}\)

0.299

0.5000

\(\epsilon _{2}\)

0.03

−0.00071601

\(c_{1}\)

0.22

0.0175

\(\Gamma _{h}\)

0.0015875

−0.0673

\(k_{2}\)

0.007789

0.000023925

\(k_{4}\)

0.005111

0.00000051155

a

0.125

+1

\(b_{1}\)

0.0714

0.0176

\(\mu _{h}\)

0.00004

0.0671

\(\mu _{r}\)

0.000181

0.3945

\(\gamma _{1}\)

0.0056

−0.0174

\(\varrho _{v}\)

0.1428

0.1667

\(\gamma _{5}\)

0.01

0.000041062

\(\delta _{1}\)

0.011

−0.0024

\(\delta _{3}\)

0.0006

2.8261 × 10−8

\(\beta _{1}\)

0.00556

2.8261 × 10−7

\(\tau _{d}\)

0.000274

−0.0578