# Table 2 Variables and parameters in the R0 equation, following [44]

Parameter Value
Mosquitoes
Mortality rate $$m_{M}$$ $$m_{M} \left( T \right) = 0.00025T^{2} - 0.0094T + 0.10257$$
$$T$$: daily mean temperature
Biting rate $$\kappa$$ $$\kappa \left( T \right) = \frac{0.344}{{1 + 1.231{ \exp }\left( { - 0.184\left( {T - 20} \right)} \right)}}$$
Product of biting rate ($$\kappa$$) and transmission possibility from mosquitoes to birds ($$P_{M}$$) $$\beta_{M}$$ $$\beta_{M} \left( T \right) = P_{M} \kappa \left( T \right)$$
$$P_{M}$$ = 1
Percentage of non-hibernating mosquitoes $$\delta_{M}$$ $$\delta_{M} = 1 - \frac{1}{{1 + 1775.7{ \exp }\left[ {1.559\left( {D - 18.177} \right)} \right]}}$$
$$D = 7.639arcsin\left[ {{ \tan }\left( \epsilon \right){ \tan }\left( \varphi \right) + \frac{0.0146}{{{ \cos }\left( \epsilon \right){ \cos }\left( \varphi \right)}}} \right] + 12$$
$$\epsilon = 0.409sin\left( {\frac{{2\pi \left( {d - 80} \right)}}{365}} \right)$$
$$D$$: daytime length,$$\epsilon$$: declination, $$\varphi$$: geographic latitude
Exposed—infected/infectious rate $$\gamma_{M}$$ $$\gamma_{M} \left( T \right) = 0.0093T - 0.1352$$, $$T \ge 15^{^\circ }$$
$$\gamma_{M} \left( T \right) = 0$$, $$T < 15^{^\circ }$$
Susceptible mosquito population $$S_{M}$$ Dynamic value, see Additional file 3
Birds
Mortality rate $$m_{B}$$ 0.0012
Removal rate: fraction of infected birds either recovering or dying $$\alpha_{B}$$ 0.182
Exposed—infected/infectious rate $$\gamma_{B}$$ 0.667
Product of biting rate ($$\kappa$$) and transmission possibility from birds to mosquitoes ($$P_{B}$$) $$\beta_{B}$$ $$\beta_{B} \left( T \right) = P_{B} \kappa \left( T \right)$$
$$P_{B}$$ = $$0.125$$
Susceptible black bird population $$S_{B}$$ Dynamic value, see Additional file 3
Environmental capacity $$K_{B}$$ see Additional file 3