STABILITY ANALYSIS OF HARVESTING IN A PREDATOR-PREY MODEL

The stability properties are studied for a Lotka-Volterra type two-pre y-one-predator model where the predator is harvested. Two different ha rvesting strategies are applied, constant harvest quota and constant h arvest effort. The temporal behaviour of the population dynamics for d ifferent harvest intensities is investigated, which includes phenomena such as periodic and chaotic oscillations. It is demonstrated that a constant harvest quota on the predator may destabilize a system that i s stable when a constant harvest effort is applied. For the studied re gion of the parameter space, we show that an increased harvest quota l eads to an increased stationary abundancy of the predator.