Stabilization of a mathematic model of pest populations using the technique of optimal control

This paper examines the stabilization of nonlinear differential systems which can be used to model pest interaction. We proceed to apply methods from optimal control theory and design the feedback control by using the Riccati equation to stabilize this system of proposed model equations. Our numerical method will be to test two interesting examples which come from entomological applications. The results show that as the pest population density varies monotonically, calculated steady-states are stabilized using appropriate optimal control techniques.