Abstract
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.
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