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Estimating the basic reproduction number for single-strain dengue fever epidemics
Adnan Khan1, Muhammad Hassan2, Mudassar Imran1
1Department of Mathematics, Lahore University of Management Sciences, DHA, Lahore, Pakistan.
Infectious Diseases of Poverty
|April 9, 2014
Summary
This study analyzed the 2011 dengue epidemic in Pakistan, estimating the basic reproduction number (R0) using various models. Results show R0 initially above one, leading to an outbreak, but control measures successfully reduced it, eliminating the disease.
Area of Science:
- Epidemiology
- Mathematical Biology
- Infectious Disease Modeling
Background:
- Dengue fever is a significant global mosquito-borne viral disease.
- The 2011 Pakistan dengue epidemic provides a case study for disease transmissibility analysis.
- Understanding dengue's spread is crucial for public health interventions.
Purpose of the Study:
- To assess dengue transmissibility during the 2011 Pakistan epidemic.
- To estimate the basic reproduction number (R0) using diverse methodologies and models.
- To evaluate the robustness of R0 estimates across different analytical approaches.
Main Methods:
- Retrospective analysis of the 2011 dengue epidemic data in Pakistan.
- Fitting deterministic ODE vector-host and direct-transmission models using Ordinary Least Squares (OLS) and Generalized Least Squares (GLS).
- Formulating a direct-transmission stochastic model and employing Markov Chain Monte Carlo (MCMC) for parameter estimation.
Main Results:
- Initial R0 estimates exceeded unity, indicating epidemic potential.
- Implemented control measures effectively reduced R0 below one, leading to disease elimination.
- Strong agreement was found for pre-control R0 estimates across models and methods.
- Significant discrepancies were observed in post-control R0 estimates between the two models.
Conclusions:
- Robust R0 estimates were obtained for the pre-control phase of the 2011 dengue epidemic.
- Close agreement exists for post-control R0 estimates across different methodologies.
- Differences in post-control R0 estimates highlight model-specific variations in assessing intervention impact.

