1. Consider a single population U that grows with an Allee eﬀect and is subject to Holling Type II predation, where the predator population, V , is constant.
(a) Write down an ordinary diﬀerential model for this situation.  (b) Determine scalings of U and t such that you obtain the dimensionless three-parameter model du dτ = u(1−u)(u−a)−v (α + 1)u α + u
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