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Mathematical Biosciences and Engineering

2014, Volume 11, Issue 3: 511-521. doi: 10.3934/mbe.2014.11.511
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Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population

  • 1.
    Department of Mathematics and Statistics, Utah State University, Logan, UT 84322
  • Received: 01 January 2013 Accepted: 29 June 2018 Published: 01 January 2014

  • MSC : 92B05, 92D25, 92D40.

  • To determine optimal sterile insect release policies in area-wide integrated pest management is a challenge that users of this pest control method inevitably confront. In this note we provide approximations to best policies of release through the use of simulated annealing. The discrete time model for the population dynamics includes the effects of sterile insect release and density dependence in the pest population. Spatial movement is introduced through integrodifference equations, which allow the use of the stochastic search in cases where movement is described through arbitrary dispersal kernels. As a byproduct of the computations, an assessment of appropriate control zone sizes is possible.

    Citation: Luis F. Gordillo. Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population[J]. Mathematical Biosciences and Engineering, 2014, 11(3): 511-521. doi: 10.3934/mbe.2014.11.511

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  • To determine optimal sterile insect release policies in area-wide integrated pest management is a challenge that users of this pest control method inevitably confront. In this note we provide approximations to best policies of release through the use of simulated annealing. The discrete time model for the population dynamics includes the effects of sterile insect release and density dependence in the pest population. Spatial movement is introduced through integrodifference equations, which allow the use of the stochastic search in cases where movement is described through arbitrary dispersal kernels. As a byproduct of the computations, an assessment of appropriate control zone sizes is possible.


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