Parameters

Description

π h , π v

Recruitment rate of humans and vector respectively

π m h

Recruitment rate of migrated population

β h v

Transmission rate from host to vector

β v h

Transmission rate from vector to host

b

Biting rate of vector

υ h

Proportion of antibody produced by human in the response to the incidence of infection caused by the vector

υ v

Proportion of antibody produced by vector in the response to the incidence of infection caused by the human

μ h , μ v

Natural death rate of humans and vector respectively

μ 1 , μ 2

Transition rates between exposed humans and infectious humans

σ h

Progression rate of exposed humans to infectious class

σ v

Progression rate of exposed vector to infectious class

τ h

Treatment rate of the infectious individuals

ω

Per captia rate of loss of immunity in humans

γ 1

Recovery rate due to treatment

γ m

Mean aquatic transition rate

δ h , δ v

Disease―induced death rate of humans and vectors respectively

C a , C m

Control effect rate

θ c

Extrinsic incubation rate of vectors