16. (Allee effect) Suppose that a population, P(t) (in thousands), is given by the model dP P (9– 0.01(P – 70)2). 9- dt

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16 Allee Effect Suppose That A Population P T In Thousands Is Given By The Model Dp P 9 0 01 P 70 2 9 Dt 1 (49.74 KiB) Viewed 23 times

This is first order differential equations
16. (Allee effect) Suppose that a population, P(t) (in thousands), is given by the model dP P (9– 0.01(P – 70)2). 9- dt Sketch a graph of the right hand side of the differential equation, then draw the phase portrait. Find any equilibria and determine their stability. Find the carrying capacity for this particular population. Determine the critical threshhold number of animals required to avoid extinction.