An unrealistic feature of the Lotka-Volterra 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):

(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.

Transcribed Image Text:

dN dt dP dt N (1-20) = N = 2PN-8P -5PN (11.89) dN dt dP dt N (1-20) = N = 2PN-8P -5PN (11.89)

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a The given LotkaVolterra model is The function Nr represents the prey density at time t and the function Pt represents the predator density at time t The goal is to graph the zero isoclines on the Np ... View the full answer