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Corpus Systématique Animale

Titre du document

Analysis of a sterile insect release model with predation

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Springer (journals)
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Mots-clés d'auteur
  • Sterile insect release
  • Predation
  • Stability
  • Limit cycles
  • Optimal control
Nom du fichier dans la ressource
  • G. W. Harrison 1
  • Hugh J. Barclay 2
  • P. van den Driessche 3
  • 1) Department of Mathematics, University of Georgia, 30602, Athens, GA, USA
  • 2) Department of Biological Sciences, Simon Fraser University, V5A 1S6, Burnaby, B.C., Canada
  • 3) Department of Mathematics, University of Victoria, V8W 2Y2, Victoria, B.C., Canada

A model for the sterile insect release method of pest control in which the target species is under predatory or parasitic regulation is analyzed. The equations are nondimensionalized and the rescaled parameters are interpreted. There are four types of equilibria, whose existence and stability depend on which of ten regions of parameter space contain the rescaled parameters, and in turn give minimal release rates to achieve eradication of the pest. In at least one region, Hopf bifurcation theory shows the existence of limit cycles, but they are found to be unstable. In addition, the optimal release rate to minimize a total cost functional for pest control by the sterile release method is studied. Both approaches show that when predation accounts for a large fraction of the natural deaths, the necessary release rate and total cost are higher than for weak predation. If the predators are removed without being replaced by any other source of mortality, the cost rises in all cases but rises much more dramatically for cases with strong predation. A definite danger of the sterile release method when some predatory control exists is that the predators are frequently driven extinct before the prey, so that the target species could explode to much higher levels and be more difficult to eradicate again after the sterile release is terminated.

Catégories Science-Metrix
  • 1 - applied sciences
  • 2 - enabling & strategic technologies
  • 3 - bioinformatics
Catégories INIST
  • 1 - sciences appliquees, technologies et medecines
  • 2 - sciences biologiques et medicales
  • 3 - sciences biologiques fondamentales et appliquees. psychologie
Catégories Scopus
  • 1 - Physical Sciences ; 2 - Mathematics ; 3 - Applied Mathematics
  • 1 - Life Sciences ; 2 - Agricultural and Biological Sciences ; 3 - Agricultural and Biological Sciences (miscellaneous)
  • 1 - Physical Sciences ; 2 - Mathematics ; 3 - Modelling and Simulation
Catégories WoS
  • 1 - science ; 2 - mathematical & computational biology
  • 1 - science ; 2 - biology
Identifiant ISTEX

Journal of Mathematical Biology

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Score qualité du texte
  • Insectes
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