Impulsive control strategies in biological control of pesticide

By presenting and analyzing the pest–predator model under insecticides used impulsively, two impulsive strategies in biological control are put forward. The first strategy: the pulse period is fixed, but the proportional constant E1 changes, which represents the fraction of pests killed by applying insecticide. For this scheme, two thresholds, E1** and E1* for E1 are obtained. If E1 E1*, both the pest and predator (natural enemies) populations go to extinction. If E1**