| Literature DB >> 23481094 |
M Oki1, T Yamamoto.
Abstract
Japan experienced dengue outbreaks vectored by Aedes albopictus during the Second World War. The probable vector density that caused the largest dengue outbreak in Nagasaki in 1942 was estimated using a mathematical simulation model. The estimated vector density was 15.0-558.0 per person when various assumptions of uncertain parameters were applied, such as proportion of symptomatic cases, vector mortality, and human biting rate of A. albopictus. When the most favourable disease spread conditions, such as a combination of the exclusive human biting rate and the longest vector survival were assumed, the vector density was 15-25 mosquitoes per person. Unusually high vector density due to wartime practices, and the traditional Japanese lifestyle were presumably responsible for the earlier dengue outbreak. If an outbreak occurs in present-day Japan, it is unlikely to spread as much as the previous one, as environmental conditions and human behaviour have changed in a protective manner.Entities:
Mesh:
Year: 2013 PMID: 23481094 PMCID: PMC3821399 DOI: 10.1017/S0950268813000447
Source DB: PubMed Journal: Epidemiol Infect ISSN: 0950-2688 Impact factor: 2.451
Equations for the changes in each class of human and vector populations
Parameters and parameter values
| Parameter | Symbol | Value | Source |
|---|---|---|---|
| Host death rate | 0·000046 | ||
| Viral development rate in humans | 0·25 | [ | |
| Viral development rate in the vector bodies | RHO25 = 0·080616 | [ | |
| HA = 15000 | |||
| HH = 6·203 × 1021 | |||
| TH=−2·176 × 1030 | |||
| Recovery rate of humans | 0·2 | [ | |
| Development rate of adult female mosquito | RHO25 = 0·256 | [ | |
| HA = 18078·11 | |||
| HH = 83135·97 | |||
| TH = 33·07 | |||
| Number of bites on humans per day | |||
| Transmission probability (vector to host) | 0·46 | [ | |
| Transmission probability (host to vector) | 0·83 | [ | |
| Virus introduction | 13 | [ | |
| Human biting rate | 0·3, 0·6, 0·9 | ||
| Vector death rate | 0·1, 0·15, 0·2, 0·25 | [ | |
| Proportion of symptomatic dengue cases | 0·1, 0·4, 0·7 | [ | |
| Number of female mosquitoes per person | MPP | Modelled |
RHO25, Development rate at 25°C; HA, enthalpy of activation of the reaction catalysed by the critical enzyme; HH, enthalpy change with high-temperature inactivation of the enzyme; TH, temperature at which 50% of the enzyme is inactivated.
Fig. 1.Seasonal changes in mosquito population. Left axis: box plot of monthly numbers of captured female A. albopictus during 1974–1976 in Nagasaki [26]. Right axis: seasonal changes in mosquito density [the number of female mosquitoes per person (MPP)] when the peak MPP = 4. dv is the vector mortality rate. Note that the original data from Mori & Wada [26] consisted of the number of female mosquitoes captured during 30 and 15 min in 1974 and 1975–1976, respectively. The data from 1974 was therefore divided by two for representation in this figure.
Fig. 2.Estimated length of the gonotrophic cycle using the curve-fitting method.
Probable number of Aedes albopictus per person during the Nagasaki dengue outbreak in 1942
| Vector mortality rate | Proportion of symptomatic cases | Human biting rate | ||
|---|---|---|---|---|
| Exclusive | Moderate | Limited | ||
| 0·1 | 0·7 | 15·0 | 33·8 | 135·1 |
| 0·4 | 16·9 | 38·1 | 152·1 | |
| 0·1 | 25·1 | 56·3 | 224·3 | |
| 0·15 | 0·7 | 22·2 | 50·0 | 199·9 |
| 0·4 | 24·8 | 55·8 | 223·1 | |
| 0·1 | 35·6 | 79·7 | 317·4 | |
| 0·2 | 0·7 | 30·8 | 69·4 | 277·3 |
| 0·4 | 34·2 | 76·9 | 307·5 | |
| 0·1 | 48·0 | 107·6 | 429·0 | |
| 0·25 | 0·7 | 40·8 | 91·8 | 367·1 |
| 0·4 | 45·1 | 101·4 | 405·2 | |
| 0·1 | 62·4 | 140·0 | 558·0 | |
Fig. 3.Simulation results showing monthly mean temperature in Nagasaki in 1942 and the best fit simulations when the longest vector survival (dv = 0·1), and the exclusive human biting rate (q = 0·9) are assumed. By using the least square method, the number of mosquitoes per person (MPP) was estimated to be 15·0, 16·9, and 25·1, while the proportion of symptomatic cases was assumed to be 0·7, 0·4, and 0·1, respectively.
Estimated R0 during the Nagasaki dengue outbreak in 1942
| Vector mortality rate | Proportion of symptomatic cases | Human biting rate | ||
|---|---|---|---|---|
| Exclusive | Moderate | Limited | ||
| 0·1 | 0·7 | 8·3 | 8·3 | 8·3 |
| 0·4 | 9·4 | 9·4 | 9·4 | |
| 0·1 | 13·9 | 13·9 | 13·8 | |
| 0·15 | 0·7 | 7·1 | 7·1 | 7·1 |
| 0·4 | 7·9 | 7·9 | 7·9 | |
| 0·1 | 11·3 | 11·3 | 11·2 | |
| 0·2 | 0·7 | 6·4 | 6·5 | 6·5 |
| 0·4 | 7·2 | 7·2 | 7·2 | |
| 0·1 | 10·1 | 10·0 | 10·0 | |
| 0·25 | 0·7 | 6·1 | 6·1 | 6·1 |
| 0·4 | 6·7 | 6·7 | 6·7 | |
| 0·1 | 9·3 | 9·3 | 9·3 | |