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Stability of harvesting : Consider a population that grows according to I+1 = 2r,(2 - r4) and is the harvested with intensity h: +1

 

Stability of harvesting : Consider a population that grows according to I+1 = 2r,(2 - r4) and is the harvested with intensity h: +1 = 2r,(2 1) - hr, %3D What range of h ( the harvesting intensity) allows this DTDS to possess at least one positive equilibrium? What harvesting intensity allows the maximum long-term yield of this population? Determine the values of h for which the positive equilibrium is actually stable. What is the maximum yield's?

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