Mathematical Biosciences and Engineering (MBE)

Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population

Pages: 511 - 521, Volume 11, Issue 3, June 2014      doi:10.3934/mbe.2014.11.511

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Luis F. Gordillo - Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, United States (email)

Abstract: 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.

Keywords:  Biological control, invasive species, spatial spread.
Mathematics Subject Classification:  92B05, 92D25, 92D40.

Received: January 2013;      Accepted: June 2013;      Available Online: January 2014.