Optimal control in a multistage physiologically structured insect population model

Delphine Picart, Fabio Milner

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We present an age- and stage-structured population model to study some methods of control of one of the most important grapevine pests, the European grapevine moth. We consider control by insecticides that reduce either the proportion of surviving eggs, larvae or both, as well as chemicals that cause mating disruption, thereby reducing the number of eggs laid. We formulate optimal control problems with cost functionals related to real-life costs in the wine industry, and we prove that these problems admit a unique solution. We also provide some numerical examples from simulation.

Original languageEnglish (US)
Pages (from-to)573-588
Number of pages16
JournalApplied Mathematics and Computation
Volume247
DOIs
StatePublished - Nov 15 2014

Fingerprint

Population Model
Optimal Control
Stage-structured
Structured Populations
Costs
Unique Solution
Optimal Control Problem
Insecticides
Proportion
Wine
Industry
Numerical Examples
Simulation
Life

Keywords

  • Age-structured population
  • Grape cultivar
  • Optimal control theory
  • Partial differential equations
  • Pest control
  • Population dynamics

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

Optimal control in a multistage physiologically structured insect population model. / Picart, Delphine; Milner, Fabio.

In: Applied Mathematics and Computation, Vol. 247, 15.11.2014, p. 573-588.

Research output: Contribution to journalArticle

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