This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Douglass Houghton Workshop, Section 2, Thu 9/22/11 Worksheet Fluffernutter 1. Last time we investigated a rule for how a population of fish might change. Lets nail down the essential features of all similar rules. Heres what we know: Rule Equilibrium Stable? P ( n + 1) = 1 . 5 P ( n ) 200 400 An equilibrium is a population that will stay constant from year to year. An equilibrium P is stable if when the population starts a little above or below P , it moves toward P . Otherwise P is unstable . (a) Add rows to the table for these rules. You can reason either numerically, graphi cally, algebraically, or with words. Note: these may be harder to explain in terms of fish, but it will be fun to try. P ( n + 1) = . 75 P ( n ) + 200 P ( n + 1) = . 4 P ( n ) + 600 P ( n + 1) = 1 . 1 P ( n ) 330 P ( n + 1) = . 5 P ( n ) + 1200 P ( n + 1) = 1 . 3 P ( n ) + 460 P ( n + 1) = P ( n ) + 300 P ( n + 1) = P ( n ) + 300 (b) Explain how to find the equilibrium and its stability for the general linear recur...
View Full
Document
 Winter '08
 Conger

Click to edit the document details