Optimal control of insects through sterile insect release and habitat modification

K. Renee Fister, Maeve L. McCarthy, Seth F. Oppenheimer, Craig Collins

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

This paper develops an optimal control framework for an ordinary differential equation model to investigate the introduction of sterile mosquitoes to reduce the incidence of mosquito-borne diseases. Existence of a solution given an optimal strategy and the optimal control is determined in association with the negative effects of the disease on the population while minimizing the cost due to this control mechanism. Numerical simulations have shown the importance of effects of the bounds on the release of sterile mosquitoes and the bounds on the likelihood of egg maturation. The optimal strategy is to maximize the use of habitat modification or insecticide. A combination of techniques leads to a more rapid elimination of the wild mosquito population.

Original languageEnglish (US)
Pages (from-to)201-212
Number of pages12
JournalMathematical Biosciences
Volume244
Issue number2
DOIs
StatePublished - Aug 2013
Externally publishedYes

Keywords

  • Optimal control
  • Ordinary differential equations
  • Sterile mosquitoes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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