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Theory and Modern Applications

Table 2 The description of parameters along with parametric values of the system (3.1)

From: Modeling, analysis and numerical solution to malaria fractional model with temporary immunity and relapse

Parameter

Description

Parametric values

Source

\(\Pi _{1}\)

Recruitment rate of female vector population

0.1 year−1

[25]

\(\Pi _{2}\)

Recruitment rate of host population

10 year−1

[25]

\(\delta ^{M}\)

Rate of infection in mosquitoes population

0.001-0.09

[27]

\(\delta ^{H}\)

Rate of infection in humans population

0.1-0.001

[27]

\(d^{M}\)

Natural death rate of mosquitoes population

0.00667

[25]

\(d^{H}\)

Natural death rate of humans population

0.0000457-0.25

[25]

\(\epsilon ^{H}\)

Relapse rate of malaria in human population

0.020-0.095

Estimated

\(\phi ^{H}\)

Vaccination rate in humans population

0.1400-0.2500

Estimated

\(\theta ^{H}\)

Induced death rate in humans population

0.1

[25]

β

The temporary immunity in hosts population

0.05-1

Estimated