Table 1 Parameters and their definitions

1/φ ^h

Average latent period of host

γ ^h _* k

Mean infectious period of host

(γ ^h ) ² _* k

Variance infectious period of host

ψ ^h

Host mortality

1/μ ^v _Aedes (T) = a ₀ - a ₁ T

Longevity of Ae. vexans as function of temperature T

1/μ ^v _Culex (T) = a ₀ - a ₁ T

Longevity of Cx. pipiens as function of temperature T

d ^v _Culex

Increased mortality of infected Cx. pipiens

b(T) _mosquitoes  = b _slope (T- b _min )

Biting rate of mosquito species as function of temperature T

1/φ ^v _Aedes (T) = 1/( φ _max - φ _slope T)

Extrinsic incubation period Ae. vexans as function of temperature T. The slope is equal for Ae. vexans and Cx. pipiens.

1/φ ^v _Culex (T) = 1/( φ _max - φ _slope T)

Extrinsic incubation period Cx. pipiens as function of temperature T. The slope is equal for Ae. vexans and Cx. pipiens

ζ

Vertical transmission Ae. vexans

β _Aedes

Host to Ae. vexans transmission probability

β _Culex

Host to Cx. pipiens transmission probability

α _Aedes

Ae. vexans to host transmission probability

α _Culex

Cx. pipiens to host transmission probability

π _{Aedes, j}

Relative preference of Ae. vexans for a host species j

π _{Culex, j}

Relative preference of Cx. pipiens for a host species j