Table 1.
Transition rates of the Markovian model.
| initial state | final state | transition rate |
|---|---|---|
| (Si,Mi,Ii,IM,i,Ri) | (Si+1,Mi,Ii,IM,i,Ri) | τ1,i=bSi |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi+1,Ii,IM,i,Ri) | τ2,i=b[Mi+Ii+IM,i+Ri] |
| (Si,Mi,Ii,IM,i,Ri) | (Si−1,Mi,Ii,IM,i,Ri) | τ3,i=(μ0+δNi)Si |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi−1,Ii,IM,i,Ri) | τ4,i=(μ0+δNi)Mi |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi,Ii−1,IM,i,Ri) | τ5,i=(μ0+δNi+α)Ii |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi,Ii,IM,i−1,Ri) | τ6,i=(μ0+δNi+αM)IM,i |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi,Ii,IM,i,Ri−1) | τ7,i=(μ0+δNi)Ri |
| (Si,Mi,Ii,IM,i,Ri) | (Si−1,Mi,Ii+1,IM,i,Ri) | τ8,i=Λi(t)Si |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi−1,Ii,IM,i+1,Ri) | τ9,i=qΛi(t)Mi |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi,Ii−1,IM,i,Ri+1) | τ10,i=σIi |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi,Ii,IM,i−1,Ri+1) | τ11,i=σMIM,i |
| (Si,Mi,Ii,IM,i,Ri) | (Si+1,Mi−1,Ii,IM,i,Ri) | τ12,i=wMi |
| (Si,Mi,Ii,IM,i,Ri) | (Si,Mi,Ii+1,IM,i,Ri) | τ13,i=ϵ/n(t) |