Table 1.
Definition of transition rates between compartments of the stochastic S-E-I-R model
| 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 |