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Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model. (English) Zbl 1017.92041
Summary: Hopf bifurcation is demonstrated in an interacting one-predator-two-prey model with harvesting of the predator at a constant rate. Here the 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.

92D40 Ecology
34C23 Bifurcation theory for ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
93C95 Application models in control theory
Full Text: DOI
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