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Investigate the Ricker model (Ricker, 1954) (Nt+1 = Nt er(1Nt /K) Use a calculator or computer to graph Nt+1 as a function of Nt (for
- Investigate the Ricker model (Ricker, 1954)
- (Nt+1 = Nt er(1Nt /K)
- Use a calculator or computer to graph Nt+1 as a function of Nt (for several choices of r and K) and compare it with the corresponding graph for the logistic model. What are the qualitative similarities and differences between the graphs?
- Find all equilibria of the model.
- Use the MATLAB program onepop to investigate this model's dynamic behavior for K = 1 and a number of different r. Do you find stable equilibria? 2-cycles? 4-cycles? Chaotic behavior?
- Use the MATLAB program longterm to produce a bifurcation diagram for this model as r varies.
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