| Literature DB >> 20052379 |
Yazoumé Yé1, Moshe Hoshen, Catherine Kyobutungi, Valérie R Louis, Rainer Sauerborn.
Abstract
BACKGROUND: To support malaria control strategies, prior knowledge of disease risk is necessary. Developing a model to explain the transmission of malaria, in endemic and epidemic regions, is of high priority in developing health system interventions. We develop, fit and validate a non-spatial dynamic model driven by meteorological conditions that can capture seasonal malaria transmission dynamics at the village level in a malaria holoendemic area of north-western Burkina Faso.Entities:
Keywords: Plasmodium falciparum malaria; endemic region; local scale; modelling; prediction; under five years
Year: 2009 PMID: 20052379 PMCID: PMC2799324 DOI: 10.3402/gha.v2i0.1923
Source DB: PubMed Journal: Glob Health Action ISSN: 1654-9880 Impact factor: 2.640
.State and transition of the dynamic model. Human: S, susceptible; I, infected; G, infectious. Vector: U, susceptible; F, infectious.
Definition of model parameters
| Parameters | Definition | Source |
|---|---|---|
| α | Daily natural per-capita human birth rate | DSS, recalculated in daily birth rate |
| β1 | Daily natural per-capita human death rate | DSS, recalculated in daily death rate |
| β2 | Daily malaria-induced per capita death rate in humans | Noun DSS, recalculated in daily death rate |
| Daily malaria clearance rate in humans | Fitted and compared with field data | |
| Time delay for human host, from becoming infected to becoming infectious | Dietz et al. | |
| Daily mortality rate of vectors | Calculated and fitted | |
| Daily mosquito per-capita intrinsic growth rate | Theoretical maximum of 10, precise value fitted from model | |
| Daily bite rate of vectors | The lower bound if 1/gonotrophic cycle, precise value fitted from model | |
| Daily rate at which vectors bite humans | ||
| γ | Daily probability of vector becoming infected after infectious bite | Fitted |
| Time delay for vector from infection to infectious stage | Sporogonic cycle, calculated using Detinova formula 111/(T°C –18) | |
| Environmental carrying capacity |
Model parameter values and bounds
| Parameters | Cissé [bounds] | Goni [bounds] | Nouna [bounds] |
|---|---|---|---|
| α | 0.000126 | 0.000126 | 0.000126 |
| 0.000096 | 0.000096 | 0.000096 | |
| 0.000041 | 0.000041 | 0.000041 | |
| 0.12 [0.10–0.17] | 0.12 [0.10–0.17] | 0.12 [0.10–0.17] | |
| 10 days [9–15] | 10 days [9–15] | 10 days [9–15] | |
| 2 | 2 | 2 | |
| 0.15[0.06–0.20] | 0.15 [0.07–0.22] | 0.14[0.05–0.22] | |
| 0.56[0.5–0.6] | 0.56[0.5–0.6] | 0.56[0.5–0.6] | |
| γ | 0.79 | 0.79 | 0.79 |
| 10.6 days [9–14] | 13.3 days [9–14] | 9.9 days [9–14] |
Plasmodium falciparum malaria infection incidence rates, per 1,000, per month and site
| Villages | ||||
|---|---|---|---|---|
| Months | Cissé | Goni | Nouna | All |
| Dec-03 | 159.2 | 122.0 | 88.9 | 136.6 |
| Jan-04 | 43.6 | 37.6 | 34.1 | 37.3 |
| Feb-04 | 137.9 | 38.1 | 57.5 | 69.1 |
| Mar-04 | 123.4 | 85.4 | 42.6 | 82.6 |
| Apr-04 | 14.6 | 59.2 | 125.3 | 72.0 |
| May-04 | 6.7 | 31.0 | 22.0 | 26.2 |
| Jun-04 | 6.3 | 29.1 | 12.4 | 20.9 |
| Jul-04 | 14.2 | 111.4 | 35.6 | 58.0 |
| Aug-04 | 268.6 | 220.7 | 83.2 | 220.2 |
| Sep-04 | 163.7 | 272.6 | 107.0 | 223.7 |
| Oct-04 | 129.6 | 200.1 | 126.5 | 152.5 |
| Dec-04 | 87.1 | 112.6 | 58.5 | 84.7 |
| Total | 1166.4 | 1278.7 | 692.1 | 1067.3 |
.Mean temperature and rainfall-based predictions of A. gambiae population abundance for each site: (a) Cissé, (b) Goni and (c) Nouna. Simulated A. gambiae population abundance (black curve) is plotted against the daily temperature (red curve) and the preceding two weeks’ cumulative rainfall (blue curve).
.Predicted monthly A. gambiae, compared to observed vector numbers in Cissé (a), Goni (b) and Nouna (c). The monthly prediction (broken line) of A. gambiae is compared with those caught in the field (full line).
.Predicted monthly Plasmodium falciparum infection episodes versus observed episodes in Cissé (a), Goni (b) and Nouna (c). The monthly prediction (broken line) of episodes is compared with those observed in the field (full line).
.Variation between the observed Plasmodium falciparum infection and the model output for single parameters.