1) PREDATION - Suppose that a population of hawks and another of pigeons are governed by the dynamics of Lotka & Volterra, with the following coefficients: r = 0.3; q = 0.2; a = 0.0015. What is the value of B for the predator population to be controlled (null) by 1000 pigeons (victims)? What number of predators (P) will keep the prey (victims) null? Make state-space graph ("sate-space") for this case. So, if the initial population sizes are 250 hawks and 1200 pigeons, what are the short-term population dynamics predicted by the model? (P = r/a and V = q / B).
1) PREDATION - Suppose that a population of hawks and another of pigeons are governed by the dynamics of Lotka & Volterra, with the following coefficients: r = 0.3; q = 0.2; a = 0.0015. What is the value of B for the predator population to be controlled (null) by 1000 pigeons (victims)? What number of predators (P) will keep the prey (victims) null? Make state-space graph ("sate-space") for this case. So, if the initial population sizes are 250 hawks and 1200 pigeons, what are the short-term population dynamics predicted by the model? (P = r/a and V = q / B).
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