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Dynamical behavior of prey - predator system having Beddington - DeAngelis functional response with impulsive control

Manju Agarwa, Preeti

Abstract



In this paper, we study the dynamics of Lotka - Volterra prey - predator model having Beddington - DeAnglis functional response under impulsive control. The state feedback control
strategy is used for controlling the pest. Certain conditions are obtained for existence and stability of semi - trivial periodic solution and positive periodic solution by using Poincaré map. The verification of system is done by numerical simulation.

Keywords


prey - predator, periodic solutions, Poincaré map, stability, impulsive control.

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