3. Suppose that a lizard species eats only one type of insect and the populations follow Lotka- Volterra dynamics. The intrinsic growth rate of insects in the absence of predators is 0.2 per week, and the mortality rate of the lizards in the absence of insects is 0.05 per week. The capture efficiency rate is 0.002, and the efficiency at which insect biomass is converted into predator biomass is 0.2. Draw a phase plane plot of lizards interacting with these insects. Indicate the following information on the phase plane plot. a. Draw and label the insect zero growth isocline. (Be sure to indicate the population size). b. Draw and label the lizard zero growth isocline. (Be sure to indicate the population size). c. If the population of insects start with 75 insects and 125 lizards, what will be the trajectory of each species? d. Draw the long-term population trajectories.

Aquaculture Science
3rd Edition
ISBN:9781133558347
Author:Parker
Publisher:Parker
Chapter17: Aquaculture Business
Section: Chapter Questions
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3. Suppose that a lizard species eats only one type of insect and the populations follow Lotka-
Volterra dynamics. The intrinsic growth rate of insects in the absence of predators is 0.2 per
week, and the mortality rate of the lizards in the absence of insects is 0.05 per week. The capture
efficiency rate is 0.002, and the efficiency at which insect biomass is converted into predator
biomass is 0.2. Draw a phase plane plot of lizards interacting with these insects. Indicate the
following information on the phase plane plot.
a. Draw and label the insect zero growth isocline. (Be sure to indicate the population size).
b. Draw and label the lizard zero growth isocline. (Be sure to indicate the population size).
c. If the population of insects start with 75 insects and 125 lizards, what will be the trajectory of
each species?
d. Draw the long-term population trajectories.
I
Transcribed Image Text:3. Suppose that a lizard species eats only one type of insect and the populations follow Lotka- Volterra dynamics. The intrinsic growth rate of insects in the absence of predators is 0.2 per week, and the mortality rate of the lizards in the absence of insects is 0.05 per week. The capture efficiency rate is 0.002, and the efficiency at which insect biomass is converted into predator biomass is 0.2. Draw a phase plane plot of lizards interacting with these insects. Indicate the following information on the phase plane plot. a. Draw and label the insect zero growth isocline. (Be sure to indicate the population size). b. Draw and label the lizard zero growth isocline. (Be sure to indicate the population size). c. If the population of insects start with 75 insects and 125 lizards, what will be the trajectory of each species? d. Draw the long-term population trajectories. I
Answers for question 3 please show work how you'll get the same answers. Thank you!
Question 3: The isocline should be drawn at a. P = 100; b. N=125; c. Both will decrease.
Long-term the populations should cycle, the starting points should be accurate and cycles should
Transcribed Image Text:Answers for question 3 please show work how you'll get the same answers. Thank you! Question 3: The isocline should be drawn at a. P = 100; b. N=125; c. Both will decrease. Long-term the populations should cycle, the starting points should be accurate and cycles should
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