| Abstract: |
| In this talk, we consider a predator-prey model with Holling type IV functional response and Allee effect. The complex dynamics and bifurcations have been carried out for both weak and strong Allee effect. The Bogdanov-Takens bifurcation of codimension 3 and degenerate Hopf bifurcation are completely analyzed. It is the first time that three limit cycles are discovered in predator-prey models with Allee effects. Numerical simulations and biological interpretations are also provided. |
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