Dynamics of a Predator-prey System with Seasonal Effects on Additional Food

In this paper, we have studied the dynamics of a predator-prey system with seasonally varying quantity of additional food to predator. We have compared the biological control path of the system through variation of seasonal changes. Bifurcation analysis is done with respect to strength of fluctuation and angular frequency of fluctuation respectively. We have discussed that in the case of periodically varying parameters, we cannot always reach the target state through additional food to predator, but it always oscillates around the target point.