Consider two species A and 8, with natural growth rates FA = 2 and r8 = 4 respectively, and natural carrying capacities MA= 600 and Mg = 20, respectively. Suppose the species interact so that eA= 0.5 and ea= 0.1. (a) If the species interact according to competition: (Give your answers correct to at least two decimal places.) The interesting equilibrium occurs when A= and B= If the initial populations are A(0) = 2 and B(0) = 1, one of the two species eventually dominates. Which one? O Species A O Species B What is the long-term population of this dominant species? (Give your answer correct to the nearest integer.) (b) If the species interact according to symbiosis:

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Consider two species A and 8, with natural growth rates rA = 2 and re = 4 respectively, and natural carrying capacities
MA = 600 and MB = 20, respectively. Suppose the species interact so that e = 0.5 and eg = 0.1.
(a) If the species interact according to competition:
(Give your answers correct to at least two decimal places.)
The interesting equilibrium occurs when A =
and B =
If the initial populations are A(0) = 2 and B(0) = 1, one of the two species eventually dominates. Which one?
O Species A
O Species B
!3!
What is the long-term population of this dominant species? (Give your answer correct to the nearest integer.)
(b) If the species interact according to symbiosis:
(Give your answers correct to the nearest integer.)
The interesting equilibrium occurs when A=
and 8-
If the initial populations are A(0) - 39 and B(0) = 4, what happens?
O one species dies off
O both species die off
O both species survive
(c) If the species interact according to commensalism:
(Give your answers correct to the nearest integer.)
The interesting equilibrium occurs when A -
and B
What do you notice about the equilibria?
O The presence of species A dramatically decreases the equilibrium population for species B.
O The presence of species A somewhat decreases the equilibrium population for species B.
O The equilibrium population for species B is the same whether or not species A is present.
O The presence of species A somewhat increases the equilibrium population for species B.
O The presence of speciesA dramatically increases the equilibrium population for species B.
Transcribed Image Text:Consider two species A and 8, with natural growth rates rA = 2 and re = 4 respectively, and natural carrying capacities MA = 600 and MB = 20, respectively. Suppose the species interact so that e = 0.5 and eg = 0.1. (a) If the species interact according to competition: (Give your answers correct to at least two decimal places.) The interesting equilibrium occurs when A = and B = If the initial populations are A(0) = 2 and B(0) = 1, one of the two species eventually dominates. Which one? O Species A O Species B !3! What is the long-term population of this dominant species? (Give your answer correct to the nearest integer.) (b) If the species interact according to symbiosis: (Give your answers correct to the nearest integer.) The interesting equilibrium occurs when A= and 8- If the initial populations are A(0) - 39 and B(0) = 4, what happens? O one species dies off O both species die off O both species survive (c) If the species interact according to commensalism: (Give your answers correct to the nearest integer.) The interesting equilibrium occurs when A - and B What do you notice about the equilibria? O The presence of species A dramatically decreases the equilibrium population for species B. O The presence of species A somewhat decreases the equilibrium population for species B. O The equilibrium population for species B is the same whether or not species A is present. O The presence of species A somewhat increases the equilibrium population for species B. O The presence of speciesA dramatically increases the equilibrium population for species B.
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