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Hopf bifurcation of a predator-prey system with stage structure and harvesting. (English) Zbl 1207.34106
Summary: A two-species predator-prey system with stage structure and harvesting is investigated. The existence of Hopf bifurcations for the system is proven. Also, the stability and directions of the Hopf bifurcations are determined by applying normal form theory and the center manifold theorem.

34K60Qualitative investigation and simulation of models
92D25Population dynamics (general)
34K18Bifurcation theory of functional differential equations
34K13Periodic solutions of functional differential equations
34K19Invariant manifolds (functional-differential equations)
Full Text: DOI
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