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Mathematics, 15.02.2020 02:57 Tripz3005

Consider a model of fishery management. State x1 is the population level of a prey species, X2 is the population level of a predator species, and x3 is the effort expended by humans in fishing the predator fish. The model is 11 = (11-12) 12 = (T2-13)12 13 = 2 y = 12 where u is the input, y is the output, and I >0 andra > 0 A. Find all equilibrium pairs (Xeq, Usa) assuming the prey species does not die out and ultimately reaches a constant proportion of 0.5, and linearize the nonlinear system about each equilibrium pair (Xeq, Usa) you find. B. Find the transfer function of the linearized state model C. Determine its transfer function.

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