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Theory and Modern Applications

Table 1 Sensitivity indices of the reproduction number \(R_{0}\) against mentioned parameters

From: Stability analysis of five-grade Leishmania epidemic model with harmonic mean-type incidence rate

Parameter

S. Index

Value

a

\({S}_{a}\)

1.000000000

θ

\({S}_{\theta }\)

−0.004792332271

c

\({S}_{c}\)

0.5000000001

\(\mu _{h}\)

\({S}_{\mu _{h}}\)

−0.3685739184

β

\({S}_{\beta }\)

−0.2272727272

\(\Gamma _{v}\)

\({S}_{\Gamma _{v}}\)

0.0

d

\({S}_{d}\)

1.000000000

b

\({S}_{b}\)

0.4999999999

\(k_{1}\)

\({S}_{k_{1}}\)

0.1006389778

\(k_{2}\)

\({S}_{k_{2}}\)

0.01754385961

\(\mu _{v}\)

\({S}_{\mu _{v}}\)

−0.5175438600

\(\Gamma _{h}\)

\({S}_{\Gamma _{h}}\)

0.0

\(\theta _{1}\)

\({S}_{\theta _{1}}\)

0.0254635451

\(k_{3}\)

\({S}_{k_{3}}\)

0.4999999999