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The following is an equation for harvesting a logistically growing resource. dx/dt=rx(1-x/K)-h(x-1/10*K) K is the stable resource equilibrium in the...
The following is an equation for harvesting a logistically growing resource.dx/dt=rx(1-x/K)-h(x-1/10*K)K is the stable resource equilibrium in the absence of harvesting. r is a positive constant.According to this harvesting strategy, if the resource level x ever drops below a certain threshold level, they you do not harvest, and in fact do the opposite, you seed the population.Is there a maximum sustainable yield?What is this maximum yield, if it exists, and how does the resource respond when you near this maximum as (t->8)?I cannot for the life of me figure out how to approach this problem.
