Optimum control applied to prey-predator models for the Holling II model: Application in the biological control of the mite Panonychus ulmi

  • Angelo M. Tusset
  • Mauricio A. Ribeiro
  • José M. Balthazar

Abstract

In this paper, the coefficients were obtained for the prey-predator models Lotka-Volterra with competition and prey-predator of the Holling II type considering the mite system \textit{P. ulmi} and its predator \textit{N. californicus}. Using the SDRE control for both the control and a state observer, it was possible to solve the optimal control problem for quadratic functional non-linear systems. The computational simulations demonstrate the efficiency of both the control strategy and stabilize the system at the desired level below that considered critical as the state observer proposal.

Published
2018-11-24