Effects of additional food on predator-prey systems with monotonic and non-monotonic functional response: a comparative study

Abstract

In this paper, we have proposed predator-prey models with monotonic and non-
monotonic functional response with additional food to top-predator. Bifurcation
analysis of our models confirm the vital role of response function in the controlla-
bility of the predator-prey system dynamics with additional food. We observe that
additional food is a very powerful tool for controlling dynamics of a predator-prey
model with monotonic functional response but not very useful for the system with
non-monotonic response function.