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Differential EquationsMediumExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Medium problem

A population obeys y′=y(4−y)−hyy' = y(4 - y) - hy, where h≥0h \ge 0 is a harvesting effort and the harvest rate is hyhy. At the positive stable equilibrium the sustained yield is h y∗h\,y^*. What is the largest possible sustained yield?