Table 3.

Parameter Values of the Models.

Parameter	Value	Units	Reference
rsus	$\{\begin{array}{cc}\hfill 1500e^{-{(t-91)}^2∕625}\hfill & \hfill 0\le t<91\hfill \\ \hfill 1500e^{-(t-91){}^2∕25}\hfill & \hfill 91\le t\le 365\hfill \end{array}\phantom{\}}$	1/day	[21]a
rinf	$\{\begin{array}{cc}\hfill 500e^{-{(t-91)}^2∕625}\hfill & \hfill 0\le t<91\hfill \\ \hfill 500e^{-(t-91){}^2∕25}\hfill & \hfill 91\le t\le 365\hfill \end{array}\phantom{\}}$	1/day	[26]b
μ	1/3650	1/day	[27]
δ	0.0312	1/day	[27]
κ	$\{\begin{array}{cc}\hfill 0.9\hfill & \hfill 91\le t\le 98\hfill \\ \hfill 0.1\hfill & \hfill t<91\text{or}t>98\hfill \end{array}\phantom{\}}$	1/day	-
Ƴ	0.14	1/day	[27]
ζ	8/365	1/day	[28]
ξ	1/12	1/day	-
v	1/40	1/day	[27]
M	$\begin{array}{c}\hfill 40000\sin (\frac{2\pi }{365}t-\varphi )+50000\hfill \\ \hfill \varphi =\{\begin{array}{cc}\hfill 0\hfill & \hfill ln\hfill \\ \hfill \pi ∕2\hfill & \hfill Rise\hfill \\ \hfill \pi \hfill & \hfill Out\hfill \\ \hfill 3\pi ∕2\hfill & \hfill Fall\hfill \end{array}\phantom{\}}\hfill \end{array}$	-	-
α	0.00001	1/day	[29]
β	0.000001	1/day	[29]

^aThis reference in Table 3 provided an estimate for the total number of ruminants imported into Egypt for the Greater Bairam which the respective parameter function approximates in order of magnitude.

^bThis reference in Table 3 provided an estimate for the proportion of infected ruminants in Sudan which the respective parameter function approximates.