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 |