Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations

@inproceedings{Cushing2014BackwardBA,
  title={Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations},
  author={J. M. Cushing},
  booktitle={Journal of biological dynamics},
  year={2014}
}
In nonlinear matrix models, strong Allee effects typically arise when the fundamental bifurcation of positive equilibria from the extinction equilibrium at r=1 (or R0=1) is backward. This occurs when positive feedback (component Allee) effects are dominant at low densities and negative feedback effects are dominant at high densities. This scenario allows population survival when r (or equivalently R0) is less than 1, provided population densities are sufficiently high. For r>1 (or equivalently… CONTINUE READING

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