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Theory and Modern Applications

Table 1 Summary of constant parameters and their numerical values appearing in the epidemic model

From: A reliable and competitive mathematical analysis of Ebola epidemic model

Notation

Parameter with description

Value

Source

λ

Rate of increase (recruitment rate) of susceptible humans

0.6321

[2, 4]

μ

Natural mortality rate of susceptible humans

0.9704

[2, 4]

\(\beta _{1}\)

Rate of infection from susceptible to exposed humans

0.2877

[2, 4]

\(\beta _{2}\)

Rate of infection from exposed to infected humans

0.7613

[2, 4]

\(\beta _{3}\)

Rate of infection from infected to recovered humans

0.4389

[2, 4]

\(\beta _{4}\)

Rate of infection due to wild animals from susceptible to exposed humans

0.1234

[2, 4]

\(\beta _{5}\)

Rate of infection due to wild animals from susceptible to infected humans

0.2431

[2, 4]

\(\beta _{6}\)

Rate of infection due to domestic animals from susceptible to exposed humans

0.4000

[2, 4]

\(\beta _{7}\)

Rate of infection due to domestic animals from susceptible to infected humans

0.3000

[2, 4]

\(\mu _{1}\)

Natural mortality rate of exposed humans

0.0432

[2, 4]

\(\mu _{2}\)

Disease induced mortality rate of exposed humans

0.2006

[2, 4]

\(\mu _{3}\)

Natural mortality rate of infected humans

0.0656

[2, 4]

\(\mu _{4}\)

Disease induced mortality rate of infected humans

0.9764

[2, 4]

\(\mu _{5}\)

Natural mortality rate of recovered humans

0.6704

[2, 4]