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5. a. Find all three equilibrium points of the preditor-prey system: a = r(2-2r-y) / = y(-2+4x)

5. a. Find all three equilibrium points of the preditor-prey system: a = r(2-2r-y) / = y(-2+4x)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can somebody give me the rules on how to classify the equilibrium points?
5. a. Find all three equilibrium points of the preditor-prey system: a' = x(2 – 2x -y) y = y(-2+4x) answer: (0,0), (1,0), (, 1) b. If r(0) = 3, y(0) = 0 what does r(t) tend to as t+ oo? answer: When y = 0, r 1. c. Only one equilibrium point has both r and y greater than zero. Classify it as a sink, source, saddle, spiral sink, spiral source or center. answer: (G, 1) is spiral sink.
Transcribed Image Text:5. a. Find all three equilibrium points of the preditor-prey system: a' = x(2 – 2x -y) y = y(-2+4x) answer: (0,0), (1,0), (, 1) b. If r(0) = 3, y(0) = 0 what does r(t) tend to as t+ oo? answer: When y = 0, r 1. c. Only one equilibrium point has both r and y greater than zero. Classify it as a sink, source, saddle, spiral sink, spiral source or center. answer: (G, 1) is spiral sink.
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