Numerical simulations of Diatraea Saccharalis control using Cotesia Flavipes considering the ratio-dependent model

Authors

  • Robison A. Da Rosa$ Federal University of Technology - Paraná, UTFPR— Department of Production Engineering, 84016-210 Ponta Grossa, PR, Brazil.
  • Giovanna Gonçalves Federal University of Technology - Paraná, UTFPR— Department of Production Engineering, 84016-210 Ponta Grossa, PR, Brazil
  • Jose M. Balthazar Federal University of Technology - Paraná, UTFPR— Department of Production Engineering, 84016-210 Ponta Grossa, PR, Brazil.
  • Giane G. Lenzi Federal University of Technology - Paraná, UTFPR— Department of Production Engineering, 84016-210 Ponta Grossa, PR, Brazil.
  • Angelo M. Tusset Federal University of Technology - Paraná, UTFPR— Department of Production Engineering, 84016-210 Ponta Grossa, PR, Brazil.

Abstract

The sugarcane caterpillar (Diatraea Saccharalis) is one of the most important pests of sugarcane plantations. Studies suggest that the Cotesia wasp Flavipes can control the population of the Diatraea Caterpillar Saccharalis, thus avoiding economic damage. This paper considers the application of optimal control in a ratio-dependent predator-prey system, where the caterpillar Diatraea saccharalis is the prey and the Cotesia wasp Flavipes. The linearization of the ratio-dependent model made it possible to reduce the problem of obtaining optimal control to the problem of control synthesis for linear systems with a quadratic functional. Numerical simulations showed that the proposed control is efficient in stabilizing the system at a desired point below the critical concentration, thus allowing it to minimize the level of economic damage.

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Published

09/01/2024

Issue

Vol. 15 No. 3 (2024): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles