Δ |
maximum number of infections |
2 or 4 |
Johansson et al., 2011, Andraud et al., 2012
|
1/δh
|
intrinsic incubation period |
2 days [2–7] |
Halstead (2007) |
1/γh
|
human infectious period |
4 days [4–12] |
Vaughn et al., 2000, Gubler et al., 1981
|
1/αh
|
temporary cross-immunity |
2–12 months [2–12] |
Sabin (1952) |
ϕh
|
enhancement, second infections |
2 [1–5] |
Reich et al. (2013) |
M |
vectors per human host |
0.95–2 [0.3–20] |
Focks et al. (2000) |
|
vector biting rate |
0.55 per day [0.33–1] |
Trpis and Hausermann (1986) |
|
extrinsic incubation period |
7 days [6–12] |
Watts et al., 1987, Reich et al., 2013
|
|
vector average life-span |
≈20 days [8–42] |
Trpis and Hausermann, 1986, Trpis and Hausermann, 1995, Reich et al., 2013
|
|
vector-to-human transm. prob. |
per bite [0.33–1] |
Sabin, 1952, Armstrong and Rico-Hesse, 2003, Reich et al., 2013
|
|
when Δ = 2 |
0.66 |
– |
|
when Δ = 4 |
0.5 |
– |
|
when Δ = 4, ϕh = 2 |
0.475 |
– |
|
when Δ = 4, 1/αh = 12 |
0.505 |
– |
|
when Δ = 4, 1/αh = 12, ϕh = 2 |
0.480 |
– |
|
human-to-vector transm. prob. |
equal to
|
Sabin, 1952, Armstrong and Rico-Hesse, 2003
|
μ |
introduction rate (rand. serotype) |
0.03 per day |
– |
Nh
|
human host population size |
3.6 million |
– |
ω |
daily mobility |
0.000001 per day |
– |
ah, bh
|
Weibull scale, shape (humans) |
0.0002, 10 |
– |
|
Weibull scale, shape (mosquito) |
0.007, 6 |
– |
L |
number of communities (L × L lattice) |
100 |
– |
H |
number of humans cummunities |
360 |
– |
1/νh
|
human average life-span |
60 years |
– |
R0
|
dengue's reproduction number |
|
Johansson et al. (2011) |
|
when Δ = 2 |
≈7.4 |
– |
|
when Δ = 4 |
≈4.2 |
– |