Find the equilibrium when h = 1000 and N_c = 1000 and r = 1.65. Can you explain why solutions that start below the equilibrium can shoot off to infinity?

Population models with thresholds can also have unusual behavior. Evaluate the following models where individuals emigrate when the population is overly crowded. In particular, suppose h individuals leave if the population is larger than some critical value N_c

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rN, -h if N,> Ne N+1 = rN if N, < Ne.