Fig. 2.

(Standard LCT results) This generic case assumes that the dwell times in state X (see panel a) are Erlang(r, k) distributed with inflow rates ${\mathcal{I}}_X(t)\ge 0$ into state X and ${\mathcal{I}}_Y(t)\ge 0$ into state Y. Panels b and c show sub-states resulting from applying the LCT and Corollary 1 assuming either (b) dwell times in state Y are determined by per-capita rate function $\mu (t)$, or (c) dwell times in Y follow and Erlang distribution with shape parameter $\kappa$