Leah Shaw

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  Asymmetric dispersal in two-patch model with Allee effect
  Leah Shaw

  Under the Allee effect, initial populations below a threshold decline, while those above the threshold can persist. First, I will present a model for oyster population dynamics. The model displays bistability, where initially low reefs will degrade but higher ones will persist. Next, I will discuss asymmetric dispersal between two coupled populations under the Allee effect. We explore the bifurcation structure while varying the dispersal rates and threshold. At high Allee thresholds, we find large parameter ranges in which the globally extinct state is the only fixed point, even though uncoupled populations can persist.