Open AccessOptimal sterile insect release for area-wide integrated pest management in a density regulated pest population
Author(s) -
Luis F. Gordillo
Publication year - 2014
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2014.11.511
Subject(s) - biological dispersal , pest analysis , integrated pest management , pest control , population , sterile insect technique , population density , ecology , optimal control , insect pest , biology , mathematical optimization , mathematics , agronomy , botany , demography , sociology
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.