A Study of the Effect of Additional Food in a Predator Prey Model

Abstract

This Research, studies the biological control of pest or invasive species given the use of additional food. We model this using the Beddington-DeAngelis functional response. We add an additional equation to the existing model to practically study the e ect that this additional food will have on the preda- tor prey dynamics. We observe that at high predator mutual interferences there is a stability in the system, even though both quantity and quality con- tinue to increase beyond a certain threshold. Also, at low values of mutual interferences, the system exhibits some interesting Hopf-Bifurcations which progress from stability to instability. Biological control is successful at low predator interactions, high quality of low quantity additional food.