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Stability and Hopf bifurcation of a predator-prey model with stage structure. (Chinese. English summary) Zbl 1349.34335

Summary: Hopf bifurcation of a delayed predator-prey model with stage structure is studied. The stability of the equilibria is investigated by choosing the time delay as parameter, the existence of Hopf bifurcations is established. Finally, numerical simulation supports the theoretical results.

MSC:

34K60 Qualitative investigation and simulation of models involving functional-differential equations
92D25 Population dynamics (general)
34K18 Bifurcation theory of functional-differential equations
34K13 Periodic solutions to functional-differential equations
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