Osong Public Health Res Perspect.  2012 Sep;3(3):128-136. 10.1016/j.phrp.2012.07.005.

Optimal Control Strategy of Plasmodium vivax Malaria Transmission in Korea

Affiliations
  • 1Department of Mathematics, Kyungpook National University, Daegu, Korea.
  • 2Bolyai Institute, University of Szeged, Szeged, Hungary.
  • 3Division of Epidemic Intelligence Service, Korea Centers for Disease Control and Prevention, Osong, Korea.
  • 4Department of Mathematics, Jeju National University, Jeju, Korea.
  • 5Institute of Liberal Education, Catholic University of Daegu, Daegu, Korea.

Abstract


Objective
To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea.
Methods
A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically.
Results
If the cost of reducing the reproduction rate of the mosquito population is more than that of prevention measures to minimize mosquito-human contacts, the control of mosquito-human contacts needs to be taken for a longer time, comparing the other situations. More knowledge about the actual effectiveness and costs of control intervention measures would give more realistic control strategies.
Conclusion
Mathematical model and numerical simulations suggest that the use of mosquito-reduction strategies is more effective than personal protection in some cases but not always.

Keyword

epidemiological model; malaria; numerical simulation; optimal control
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