Suppose we have a self-sustaining population of fish in a pond. We can model this population using the logistic model (f

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Suppose We Have A Self Sustaining Population Of Fish In A Pond We Can Model This Population Using The Logistic Model F 1 (94.3 KiB) Viewed 22 times

Suppose we have a self-sustaining population of fish in a pond. We can model this population using the logistic model (for the sake of simplicity, we will take the growth rate and carrying capacity parameters to both equal 1) that we have developed in class. Now suppose that over a period of time we continuously harvest (take away) fish from the population. We can model this scenario by adding in a parameter a > 0 to our logistic model: dy dt = y(1 — y) — – α (a) What does the parameter a represent exactly? (b) Find the bifurcation value(s) and sketch the bifurcation diagram. (c) What should my maximum value of a be? Why is this important for me to consider?