“…We assume that the time, τ j , that a person spends in a compartment is exponentially distributed. This assumption results in a constant transition rate between compartment j to compartment k of γ jk = P jk /τ j [27]. That is, γ 01 = 1/τ 0 , γ 1a = P 1a /τ 1 , γ 1m = P 1m /τ 1 , γ ar = 1/τ a , γ mr = P mr /τ m , γ ms = P ms /τ m , γ md = P md /τ m , γ sr = P sr /τ s , γ sd = P sd /τ s , γ cd = P cd /τ c , and γ cr = P cr /τ c .…”