Theory and Modern Applications
Table 1 Transition probabilities
From: Numerical treatment of stochastic heroin epidemic model
Transitions (\(\mathrm{T}_{\mathrm{i}}\)) | Probabilities (\(\mathrm{P}_{\mathrm{i}}\)) |
|---|---|
\(\mathrm{T}_{1} = (\Delta \mathrm{W})_{1} = [1,0,0]^{\mathrm{T}}\) | \(\mathrm{P}_{1} =\varLambda\Delta \mathrm{t}\) |
\(\mathrm{T}_{2} = (\Delta \mathrm{W})_{2} = [-1,1,0]^{\mathrm{T}}\) | \(\mathrm{P}_{2} = \beta_{1} \mathrm{U}_{1} \mathrm{S}\Delta \mathrm{t}\) |
\(\mathrm{T}_{3} =(\Delta \mathrm{W})_{3} = [-1,0,0]^{\mathrm{T}}\) | \(\mathrm{P}_{3} = \mu_{1} \mathrm{S} \Delta \mathrm{t}\) |
\(\mathrm{T}_{4} = (\Delta \mathrm{W})_{4} = [0,-1,1]^{\mathrm{T}}\) | \(\mathrm{P}_{4} =\mathrm{p} \mathrm{U}_{1} \Delta \mathrm{t}\) |
\(\mathrm{T}_{5} = (\Delta \mathrm{W})_{5} = [0,1,-1]^{\mathrm{T}}\) | \(\mathrm{P}_{5} = \beta_{3} \mathrm{U}_{1} \mathrm{U}_{2} \Delta \mathrm{t}\) |
\(\mathrm{T}_{6} = (\Delta \mathrm{W})_{5} = [0,-1,0]^{\mathrm{T}}\) | \(\mathrm{P}_{6} = \mu_{1} \mathrm{U}_{1} \Delta \mathrm{t}\) |
\(\mathrm{T}_{7} = (\Delta \mathrm{W})_{5} = [0,0,-1]^{\mathrm{T}}\) | \(\mathrm{P}_{7} = \mu_{2} \mathrm{U}_{2} \Delta \mathrm{t}\) |