Table 1 Definition of transition rates between compartments of the stochastic S-E-I-R model
From: Characterizing the likelihood of dengue emergence and detection in naïve populations
Event | Change in state | Transition rate |
|---|---|---|
Transmission from mosquito to human | (Sh,Eh) → (Sh-1, Eh + 1) | aSh(Im/Nh) |
Onset of infectiousness in human | (Eh,ID1) → (Eh-1, ID1 + 1) | zeEh |
Transition from ID1 to ID2 | (ID1,ID2) → (ID1-1, ID2 + 1) | v1ID1 |
Transition from ID2 to ID3 | (ID2,ID3) → (ID2-1, ID3 + 1) | v2ID2 |
Transition from ID3 to ID4 | (ID3,ID4) → (ID3-1, ID4 + 1) | v3ID3 |
Transition from ID4 to ID5 | (ID4,ID5) → (ID4-1, ID5 + 1) | v4ID4 |
Transition from ID5 to ID6 | (ID5,ID6) → (ID5-1, ID6 + 1) | v5ID5 |
Transition from ID6 to ID7 | (ID6,ID7) → (ID6-1, ID7 + 1) | v6ID6 |
Transition from ID7 to ID8 | (ID7,ID8) → (ID7-1, ID8 + 1) | v7ID7 |
Transition from ID8 to ID9 | (ID8,ID9) → (ID8-1, ID9 + 1) | v8ID8 |
Transition from ID9 to ID10 | (ID9,ID10) → (ID9-1, ID10 + 1) | v9ID9 |
Recovery in human | (ID10,Rh) → (ID10-1, Rh + 1) | v10ID10 |
Adult (female) mosquito recruitment | (Sm) → (Sm + 1) | ϵm |
Susceptible mosquito death | (Sm) → (Sm-1) | μSm |
Transmission from human to mosquito | (Sm,Em) → (Sm-1, Em + 1) | aSm Σi(qiIDi/Nh) |
Exposed mosquito death | (Em) → (Em-1) | μEm |
Onset of infectiousness in mosquito | (Em,Im) → (Em-1, Im + 1) | bEm |
Infectious mosquito death | (Im) → (Im-1) | μIm |