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Mathematical Modeling
Book by Stefan Heinz
chapter no 5
5.4.2 The Ricker equation yn = ayn- exp(-Byn-1) is often used for the modeling of fish populations. In this equation, a is the maximal growth rate of the organism, and ß represents the inhibition of growth due to overpopulation (Edelstein-Keshet 2005). a) Calculate the nonzero equilibrium solution to this equation. b) Show under which conditions the equilibrium solution is stable.