title: Optimal Control Strategy of Plasmodium vivax Malaria Transmission in 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.
  
  
  CONCLUSIONS
  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.
authors.affiliation: Department of Mathematics, Kyungpook National University, Daegu, Korea.
authors.forename: Byul Nim
authors.initials: BN
authors.lastname: Kim
authors.forename: Kyeongah
authors.initials: K
authors.lastname: Nah
authors.forename: Chaeshin
authors.initials: C
authors.lastname: Chu
authors.forename: Sang Uk
authors.initials: SU
authors.lastname: Ryu
authors.forename: Yong Han
authors.initials: YH
authors.lastname: Kang
authors.forename: Yongkuk
authors.initials: Y
authors.lastname: Kim
keywords: epidemiological model; malaria; numerical simulation; optimal control