Dynamics in a Beddington–DeAngelis prey–predator system with impulsive harvesting

The impulsive harvesting strategy in prey–predator system with Beddington–DeAngelis functional response is studied. Conditions for existence and global stability of predator-free equilibrium solution have been established. The existence of nontrivial periodic solution is established when the predator-free periodic solution loses its stability. Numerical simulations of the impulsive system exhibit the rich complex dynamics in the positive octant for the key parameters.