Find the equilibrium when h = 1000 and N_c = 1000 and r = 1.5. What would happen to solutions starting with values greater than the equilibrium? Use this information, and that in the previous problem, to sketch a cobweb diagram.

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

Previous problem

Suppose h = 1000 and N_c = 1000 and r = 1.5. Investigate some solutions starting with different values of N₀ < 1000. What is happening?

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