An unrealistic feature of the LotkaVolterra model is that the prey exhibits unlimited
Chapter 11, Problem 21(choose chapter or problem)
An unrealistic feature of the LotkaVolterra model is that the prey exhibits unlimited growth in the absence of the predator. The model described by the following system remedies this shortcoming (in the model, we assume that the prey evolves according to logistic growth in the absence of the predator; the other features of the model are retained): dN dt = N _ 1 N 20 _ 5PN dP dt = 2PN 8P (11.89) (a) Draw the zero isoclines of (11.89). (b) Use the graphical approach of Subsection 11.3.2 to determine whether the nontrivial equilibrium is locally stable. dN dt = aN _ 1 N K _ bPN dP dt = cPN dP (11.90)
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