(Steps Shown) Constant Rate Harvesting Consider the logistic differential equation with constant rate harvesting: (dN)/(dt)=rN(1-N/K)-h Treat the harvest rate h
Question: Constant Rate Harvesting
Consider the logistic differential equation with constant rate harvesting:
\[\frac{dN}{dt}=rN\left( 1-\frac{N}{K} \right)-h\]Treat the harvest rate \(h\) as the bifurcation parameter. Find the critical value of \(h\) for a bifurcation to occur. Which bifurcation is this? Sketch the bifurcation diagram. What are the effects of overharvesting this system?
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