Table C.1.

Transitions, probabilities and population sizes in the model for the transmission of LSDV in a cattle herd

Description	transition	probability	population size
Cattle
infection	$\left\{\begin{array}{c}\mathrm{S}\to \mathrm{S}-1\\ {\mathrm{E}}_1\to {\mathrm{E}}_1+1\end{array}\right.$	λCδt	S
completion of latent stage j(j = 1,…,nE–1)	$\left\{\begin{array}{c}{\mathrm{E}}_{\mathrm{j}}\to {\mathrm{E}}_{\mathrm{j}}-1\\ {\mathrm{E}}_{\mathrm{j}+1}\to {\mathrm{E}}_{\mathrm{j}+1}+1\end{array}\right.$	nErEδt	Ej
completion of latent period	$\left\{\begin{array}{c}{\mathrm{E}}_{{\mathrm{n}}_{\mathrm{E}}}\to {\mathrm{E}}_{{\mathrm{n}}_{\mathrm{E}}}-1\\ {\mathrm{I}}_1\to {\mathrm{I}}_1+1\end{array}\right.$	nErEδt	Eng
completion of infectious stage j(j = 1,…,nI–1)	$\left\{\begin{array}{c}{\mathrm{I}}_{\mathrm{j}}\to {\mathrm{I}}_{\mathrm{j}}-1\\ {\mathrm{I}}_{\mathrm{j}+1}\to {\mathrm{I}}_{\mathrm{j}+1}+1\end{array}\right.$	nIrIδt	Ij
recovery	$\left\{\begin{array}{c}{\mathrm{I}}_{{\mathrm{n}}_{\mathrm{I}}}\to {\mathrm{I}}_{{\mathrm{n}}_{\mathrm{I}}}-1\\ {\mathrm{R}}_1\to {\mathrm{R}}_1+1\end{array}\right.$	nIrIδt	InI
Vectors
infection	$\left\{\begin{array}{c}\mathrm{X}\to \mathrm{X}-1\\ \mathrm{Y}\to \mathrm{Y}+1\end{array}\right.$	λVδt	X
virus inactivated on infected vector	$\left\{\begin{array}{c}\mathrm{Y}\to \mathrm{Y}-1\\ \mathrm{X}\to \mathrm{X}+1\end{array}\right.$	γδt	Y
mortality of infected vectors(and compensatory recruitment)	$\left\{\begin{array}{c}\mathrm{Y}\to \mathrm{Y}-1\\ \mathrm{X}\to \mathrm{X}+1\end{array}\right.$	μδt	Y