The classical LotkaVolterra model of predation is given by dN dt = aN bN P dP dt = cN P
Chapter 11, Problem 43(choose chapter or problem)
The classical LotkaVolterra model of predation is given by dN dt = aN bN P dP dt = cN P dP where N = N(t) is the prey density at time t and P = P(t) is the predator density at time t. The constants a, b, c, and d are all positive. (a) Find the nontrivial equilibrium ( N, P) with N > 0 and P > 0. (b) Find the community matrix corresponding to the nontrivial equilibrium. (c) Explain each entry of the community matrix found in (b) in terms of how individuals in this community affect each other.
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