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Differential EquationsSuperchallengeExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Superchallenge problem

A population with a strong Allee effect and constant harvesting obeys y′=y(y−1)(3−y)−hy' = y(y - 1)(3 - y) - h. For small h≥0h \ge 0 there is a stable equilibrium above 11. Find the critical harvest hch_c at which it disappears. Give your answer in simplest radical form.