2. Find general formulas (in terms of R, a, f, q, and K) for the equilibrium point in the predator-prey model with logistic prey growth. In other words, find the values of V and C for which, once the populations reach those values, they will never change.
2. Find general formulas (in terms of R, a, f, q, and K) for the equilibrium point in the predator-prey model with logistic prey growth. In other words, find the values of V and C for which, once the populations reach those values, they will never change.
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Population Growth
R and K Selection
R and K selection are concepts in ecology used to describe traits in the fluctuation of a population or population dynamics. For example, they describe the life-association traits between parent and offspring, such as quantity or number of young ones born at a time, quality of parental care, the age to maturity, and reproductive effort.
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Transcribed Image Text:1. Build the predator-prey model with logistic prey growth in a spreadsheet, using parameter values
R=0.25, a=0.01, q=0.1, f-0.008, initial populations of 1000 and 20, and carrying capacity 3000.
Run the model for 100 time steps and create a time plot and a phase plane plot.
2. Find general formulas (in terms of R, a, f, q, and K) for the equilibrium point in the predator-prey
model with logistic prey growth. In other words, find the values of V and C for which, once the
populations reach those values, they will never change.
3. Type the formulas you found in (2) into your spreadsheet to compute the equilibrium point for the
model parameters in (1), and discuss whether the model seems to be approaching the equilibrium
point.
4. Experiment with different values of R, a, f, and q until you find a combination that causes
extinction of one or both species. Write down these parameter values. What do you notice about
the overall behavior of the model while doing this exploration?
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