Differential Equationshard
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A population model is defined by dPdt=0.05P(1P500)\frac{dP}{dt} = 0.05P(1 - \frac{P}{500}). If a constant harvesting rate HH is introduced such that dPdt=0.05P(1P500)H\frac{dP}{dt} = 0.05P(1 - \frac{P}{500}) - H, what is the bifurcation value of HH at which the equilibrium points disappear?