. 2006 Nov 23;135(5):733–739. doi: 10.1017/S0950268806007345

Table 2.

Equations for the spread of the epidemic in the region j

graphic file with name S0950268806007345_tab2.jpg

i(t) is the proportion of infected individuals who are discovered and placed into quarantine within 24 h following the first symptoms. This can be expressed as follows:

$i\lpar t\rpar \equals {{\alpha \int_{\setnum{0}}^{\setnum{1}} {{\rm E}\lpar t \minus u\rpar\hskip2 .\hskip2{\rm e}^{ \minus \lpar \theta \plus \gamma \rpar u} {\rm d}u} } \over {{\rm I}\lpar t\rpar }}<$$> {\rm\ \lpar other\ notations\ are\ detailed\ in\ the\ text\ and\ in\ Table\ 1\rpar}.$