Epidemiological and ecological determinants of Zika virus transmission in an urban setting

  1. José Lourenço  Is a corresponding author
  2. Maricelia Maia de Lima
  3. Nuno Rodrigues Faria
  4. Andrew Walker
  5. Moritz UG Kraemer
  6. Christian Julian Villabona-Arenas
  7. Ben Lambert
  8. Erenilde Marques de Cerqueira
  9. Oliver G Pybus
  10. Luiz CJ Alcantara
  11. Mario Recker
  1. University of Oxford, United Kingdom
  2. FIOCRUZ, Brazil
  3. UMI 233, INSERM U1175 and Institut de Biologie Computationnelle, LIRMM, Université de Montpellier, France
  4. Universidade Estadual de Feira de Santana, Brazil
  5. University of Exeter, United Kingdom
5 figures, 4 tables and 11 additional files

Figures

Zika virus epidemics in Feira de Santana and Brazil (2015–2016).

(A) Comparison of weekly notified Zika cases (full red line) with monthly Microcephaly cases (blue bars) in Feira de Santana (FSA), overimposed with total Zika cases at the level of the country (BR, …

https://doi.org/10.7554/eLife.29820.005
Figure 2 with 3 supplements
Eco-epidemiological factors and model fit to notified cases.

(A) Zika case data (black) and daily climatic series for rainfall (gold), humidity (blue) and mean temperature (green) for Feira de Santana (FSA). Climate data available as Dataset 1. (B) Resulting …

https://doi.org/10.7554/eLife.29820.006
Figure 2—figure supplement 1
Relationship between temperature and egg hatching success.

Empirical data on Aedes aegypti’s and albopictus’s egg hatching success (in the model c˙) is taken from (Dickerson, 2007). Data includes measurements of hatching for 5 different temperatures above …

https://doi.org/10.7554/eLife.29820.007
Figure 2—figure supplement 2
Prior selection and sensitivity.

(A1) Priors for the linear coefficients α (scaling factor for effect of temperature on mosquito incubation period - EIP) and η (scaling factor for effect of temperature on mosquito mortality - …

https://doi.org/10.7554/eLife.29820.008
Figure 2—figure supplement 3
Eco-epidemiological factors and model fit to notified cases.

(A) Daily climatic series for rainfall (black), humidity (orange) and mean temperature (purple) for Feira de Santana (FSA). (B) Estimated vector lifespan (green), extrinsic incubation period (EIP, …

https://doi.org/10.7554/eLife.29820.009
Figure 3 with 2 supplements
Estimated epidemiological and ecological parameters.

MCMC posterior distributions, based on model fitting to notified case data between 2015–2017 and obtained from sampling 1 million MCMC steps after burn-in. (A) Posterior of the introduction date …

https://doi.org/10.7554/eLife.29820.012
Figure 3—figure supplement 1
Sensitivity output for MCMC chains.

(A) The last 1.5 million states of a 5 million run were sampled (25,000 samples), and the correlation of the states was calculated between the chains of particular parameters (windows of 50 samples …

https://doi.org/10.7554/eLife.29820.013
Figure 3—figure supplement 2
Eco-epidemiological factors and model fit to notified cases when using 2 observation rates.

(A) Resulting Bayesian MCMC fit to weekly (black line: data, purple line: model fit) and cumulative incidence (black line: data, grey line: model fit). The grey area highlights the period before the …

https://doi.org/10.7554/eLife.29820.014
Projected Zika virus dynamics and transmission potential.

(A) Fitted and projected epidemic attack rate (% population infected, or herd-immunity, green), basic reproduction number (R0, red) and effective reproduction number (Re, blue).(B) Colourmap showing …

https://doi.org/10.7554/eLife.29820.015
Sensitivity to reporting and microcephaly risk in Feira de Santana (FSA).

(A) The observation rate (OR) can be expressed as the product of the proportion of cases that are symptomatic (0.18 [Duffy et al., 2009]), with the proportion of symptomatic that seek medical …

https://doi.org/10.7554/eLife.29820.016

Tables

Table 1
Model climate-dependent parameters.
https://doi.org/10.7554/eLife.29820.003
NotationDescription
ϵAv(t)transition rate from aquatic to adult mosquito life-stages
μAv(t)mortality rate of aquatic mosquito life-stage
μVv(t)mortality rate of adult mosquito life-stage
θv(t)(human) intrinsic oviposition rate of adult mosquito life-stage
γv(t)(vector) extrinsic incubation period of adult mosquito life-stage
ϕvh(t)vector-to-human probability of transmission per infectious bite
cv(t)egg hatching success
av(t)adult vector biting rate
Table 2
Model constant parameters.
https://doi.org/10.7554/eLife.29820.004
NotationValueDescriptionReferences
av0.25 per daymosquito biting rate[ 76, 88 ]
f0.5proportion of females (sex ratio)[ 52, 59 ]
ϕhv0.5human-to-vector probability of transmission per infectious bite
1/μh75 yearshuman mean lifespan[ 83 ]
Table 3
Literature-based reports on key ZIKV epidemiological and entomological parameters.
https://doi.org/10.7554/eLife.29820.010
Parameter/FunctionValues and ranges reportedReferences
Intrinsic incubation period6.5, 5.9 days[ 34, 50 ]
Human infectious period4.7, 9.9 days[ 34, 50 ]
Extrinsic incubation period8.2, <10, <7 days[ 34, 51, 84 ]
Attack rates74, 50, 73, 94, 52%[ 17, 26, 47, 28 ]
R03.2, 2.5, 4.8, 2.05, 2.6–4.8, 4.3–5.8, 1.8–2.0[ 17, 37, 38, 47, 64 ]
Observation rate0.024, 0.06, 0.03, 0.11[ 17, 37, 47 ]
Table 4
Model estimated parameters.
https://doi.org/10.7554/eLife.29820.011
NotationDescriptionRanges / priors
t0time point of first case (in a human)(, )
Kaquatic carrying capacity(0, )
ηlinear factor for mosquito mortality(0, )
αlinear factor for extrinsic incubation period(0, )
ρnon-linear factor for effects of humidity and rainfall(0, )
σhhuman infectious period(0, 15)
γhhuman (intrinsic) incubation period(0, 15)
ζobservation rate(0, 1)

Additional files

Source data 1

Dataset 1.

Climate time series for Feira de Santana (2013–2017), including daily temperature, humidity and rainfall (FSA_climate_series.xls).

https://doi.org/10.7554/eLife.29820.017
Source data 2

Dataset 2.

Age-related data for Feira de Santana (2015), including case counts per age, total population numbers and gender ratios (FSA_age_data.xls).

https://doi.org/10.7554/eLife.29820.018
Source data 3

Dataset 3.

Total weekly notified cases in Feira de Santana (2015–2017) (FSA_incidence_series.xls).

https://doi.org/10.7554/eLife.29820.019
Source data 4

Dataset 4.

Total notified cases of Microcephaly in Feira de Santana (2015–2017), including confirmed and suspected/not confirmed (FSA_Microcephaly_series.xls).

https://doi.org/10.7554/eLife.29820.020
Supplementary file 1

Sample model deterministic solutions for incidence (Incidence_detsolution.csv).

https://doi.org/10.7554/eLife.29820.021
Supplementary file 2

Sample model deterministic solutions for R0 (R0_detsolution.csv).

https://doi.org/10.7554/eLife.29820.022
Supplementary file 3

Sample model deterministic solutions for Re (Re_detsolution.csv).

https://doi.org/10.7554/eLife.29820.023
Supplementary file 4

Sample model stochastic solutions for incidence (Incidence_stosolution.csv).

https://doi.org/10.7554/eLife.29820.024
Supplementary file 5

Sample model stochastic solutions for R0 (R0_stosolution.csv).

https://doi.org/10.7554/eLife.29820.025
Supplementary file 6

Sample model stochastic solutions for Re (Re_stosolution.csv).

https://doi.org/10.7554/eLife.29820.026
Transparent reporting form
https://doi.org/10.7554/eLife.29820.027

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