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.