Hopf bifurcation and stability analysis in a harvested one-predator–two-prey model

摘要

In this paper, Hopf bifurcation is demonstrated in an interacting one-predator–two-prey model with harvesting of the predator at a constant rate. Here harvest rate is used as a control parameter. It is found that periodic solutions arise from stable stationary states when the harvest rate exceeds a certain limit. The stability of these periodic solutions is investigated with the variation of this control parameter. The approach is analytic in nature and the normal form analysis of the model is performed.