The purpose of this work is to choose optimal control strategies of the biological system which exhibits the nonlinear behavior. The control, based on two preys - one predator Lotka-Volterra model, is applied in soybean crop agroecosystems. The goal of this pest control strategy is to maintain the pest population density at level below the economic injury level. This optimal control problem is solved by State Dependent Riccati Equation (SDRE) method. Numerical simulations for proposed strategies of biological pest control based on the Lotka-Volterra model are provided to show the effectiveness of this method.
Optimal control; biological systems; SDRE
