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Fig 1.

Flow diagram of the malaria transmission dynamics.

The dashed arrows indicate the direction of the infection and the solid arrows represent the transition from one class to another.

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Table 1.

The state variable descriptions of the model.

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Table 2.

Parameters description of the model with their values.

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Table 3.

Sensitivity indices of to parameters evaluated at the parameter values given in Table 1.

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Fig 2.

Sensitivity indices of the model parameters for .

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Fig 3.

Local stability of malaria-free equilibrium points.

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Fig 4.

Local stability of malaria-present equilibrium points.

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Fig 5.

Effect of increasing treatment rate at health facilities on the infected human.

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Fig 6.

Effect of increasing treatment rate of traditional medicine usage on the infected human.

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Fig 7.

Effect of increasing progression rate, on individual treatment with traditional medicine class.

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Fig 8.

The effect of treatment at health facilities on reproduction number.

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Fig 9.

The effect of treatment with traditional medicines on reproduction number.

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Fig 10.

Susceptible human population with fractional order and..

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Fig 11.

Exposed human population with fractional order and .

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Fig 12.

Infected human population with fractional order and .

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Fig 13.

Treatment class undergoing health facility with fractional order , .

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Fig 14.

Treatment class undergoing TMs with fractional order , .

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Fig 15.

Recovered human population with fractional order and .

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Fig 16.

Susceptible mosquitoes with fractional order and..

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Fig 17.

Exposed mosquitoes with fractional order and .

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Fig 18.

Infected mosquitoes with fractional order and..

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