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Zbl 1017.92041
Kumar, S.; Srivastava, S.K.; Chingakham, P.
Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model. (English)
[J] Appl. Math. Comput. 129, No.1, 107-118 (2002). ISSN 0096-3003

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.

MSC 2000:: *92D40 Ecology
34C23 Bifurcation (periodic solutions)
34C60 Applications of qualitative theory of ODE
93C95 Appl. of control theory

Keywords: Hopf bifurcation; normal form; harvesting rate; stationary states; control parameter

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Zentralblatt MATH Berlin [Germany]