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Differential EquationsHardExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Hard problem

A fish stock (in tonnes) obeys y′=2y(1−y100)−hy' = 2y\left(1 - \dfrac{y}{100}\right) - h with a constant harvest hh (tonnes per year). The stock sits at its stable equilibrium with h=32h = 32. The harvest is then raised by 50%50\% and the stock settles at the new stable equilibrium. By how many tonnes has the stable stock fallen?