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Published on: August 23, 2016
Optimal control applied to Zika virus epidemics in Colombia and Puerto Rico
Wencel Valega-Mackenzie1, Karen Ríos-Soto2, Suzanne Lenhart1
1Department of Mathematics, University of Tennessee, Knoxville, United States of America.
Zika virus (ZIKV) prevention is possible with optimal control strategies including vaccines and information campaigns. Combining insect repellent information, condoms, and vaccination is most effective for Colombia, while Puerto Rico benefits most from repellent information and vaccination.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- Zika virus (ZIKV) causes severe birth defects like microcephaly and neurological issues such as Guillain-Barré syndrome.
- Effective control strategies are crucial to mitigate ZIKV transmission and its severe health consequences.
Purpose of the Study:
- To evaluate the impact of various control strategies on ZIKV transmission dynamics using mathematical modeling.
- To compare the effectiveness of different control measures in Colombia and Puerto Rico based on real outbreak data.
Main Methods:
- Formulation of a nonlinear ordinary differential equation system to model ZIKV transmission dynamics.
- Parameter estimation using weekly incidence data from ZIKV outbreaks in Colombia and Puerto Rico.
- Calculation of basic reproduction number (R0) and transmission thresholds (Rv, Rd) for each country.
Main Results:
- Vector-borne transmission (Rv) is dominant in both Colombia and Puerto Rico.
- Sexual transmission threshold (Rd) is significantly higher in Colombia than in Puerto Rico.
- Numerical simulations indicate that a combination of all three controls is most effective in Colombia.
- For Puerto Rico, information campaigns on repellents and vaccination are the most effective mitigation strategies.
Conclusions:
- Optimal control strategies for ZIKV vary by region, influenced by transmission dynamics.
- Integrated approaches combining vaccination, information campaigns, and potentially other measures are key to controlling ZIKV epidemics.
- Mathematical modeling provides valuable insights for tailoring public health interventions to specific epidemiological contexts.
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